US20030201748A1 - Frequency characteristic identifying method and drive controlling apparatus - Google Patents

Frequency characteristic identifying method and drive controlling apparatus Download PDF

Info

Publication number
US20030201748A1
US20030201748A1 US10/254,776 US25477602A US2003201748A1 US 20030201748 A1 US20030201748 A1 US 20030201748A1 US 25477602 A US25477602 A US 25477602A US 2003201748 A1 US2003201748 A1 US 2003201748A1
Authority
US
United States
Prior art keywords
signal
value
amplitude
servo motor
proportional gain
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
US10/254,776
Other versions
US6639376B1 (en
Inventor
Eiji Hayashi
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Mitsubishi Electric Corp
Original Assignee
Mitsubishi Electric Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Mitsubishi Electric Corp filed Critical Mitsubishi Electric Corp
Assigned to MITSUBISHI DENKI KABUSHIKI KAISHA reassignment MITSUBISHI DENKI KABUSHIKI KAISHA ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: HAYASHI, EIJI
Application granted granted Critical
Publication of US6639376B1 publication Critical patent/US6639376B1/en
Publication of US20030201748A1 publication Critical patent/US20030201748A1/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Images

Classifications

    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/19Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by positioning or contouring control systems, e.g. to control position from one programmed point to another or to control movement along a programmed continuous path
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/30Nc systems
    • G05B2219/41Servomotor, servo controller till figures
    • G05B2219/41365Servo error converted to frequency
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/30Nc systems
    • G05B2219/42Servomotor, servo controller kind till VSS
    • G05B2219/42027Flsps frequency locked steeping position control servo

Definitions

  • the present invention relates to a technology for accurately identifying frequency characteristic and controlling a servo motor.
  • Frequency characteristic is identified by adding a scanned alternate signal to the instruction value of a servo system and measuring the response of the feedback control system relative to the signal added.
  • a scanned signal and a speed instruction signal are superimposed and data of amplitude is generated from the signals changed from the superimposed signals in a stated procedure.
  • Resonance frequency is calculated based on this amplitude data.
  • the resonance frequency is a frequency at which the rate of change in the amplitude data turns from positive to negative.
  • frequency characteristic is accurately identified by adding an adequate scanned signal to speed instruction value. In other words, it is impossible to identify proper frequency characteristic unless the scanned signal added to speed instruction signal is appropriate.
  • the object of the present invention is to provide a method of identifying a frequency characteristic and a drive controlling apparatus that can identify a frequency characteristic accurately.
  • an instruction value is added to a specific signal to obtain an added signal.
  • a servo motor is driven based on this added signal.
  • a parameter of the motor is measured while the motor is being driven.
  • the parameter may be a response of the motor or positional information of a part of the motor.
  • a characteristic value calculated based on the measured parameter is compared with a reference value. When the characteristic value significantly smaller than the reference value, the amplitude of the specific signal is changed so that the characteristic value converges to the reference value. When the characteristic value has almost converged to the reference value, frequency characteristics can be identified accurately.
  • FIG. 1 shows the configuration of the first embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized
  • FIG. 2 is a flow chart showing how the amplitude of the signal is determined
  • FIG. 3 is a flow chart describing the process of measuring the frequency characteristic
  • FIG. 4 is the configuration of the second embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized
  • FIG. 5 is a flow chart showing how the amplitude of the signal is determined
  • FIG. 6 is a flow chart describing the process of measuring the frequency characteristic.
  • FIG. 1 shows a construction of the first embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized.
  • the reference numeral 1 represents a signal generator
  • 2 represents an adder
  • 3 represents a controller
  • 4 represents a motor
  • 5 represents a system that is to be driven.
  • the reference numeral 6 represents a sensor
  • 7 represents a signal comparator
  • 8 represents a frequency characteristic identifier.
  • the drive controlling apparatus shown in FIG. 1 works as follows.
  • the signal generator 1 generates a signal.
  • This signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude.
  • the adder 2 adds the signal generated by the signal generator 1 to an instruction value.
  • the drive controlling apparatus comprises a feedback control system.
  • the controller 3 outputs an electric current to the motor 4 according to the instruction value and a feedback value.
  • the motor 4 drives the system 5 based on a current output from the controller 3 .
  • the current output from the controller 3 is equivalent to the instruction value.
  • the sensor 6 measures a response of the motor 4 and the result is transferred to the controller 3 and the signal comparator 7 as feedback. The sensor 6 will be described in detail later.
  • the signal comparator 7 extracts a characteristic value based on the result of measurement by the sensor 6 .
  • the signal comparator 7 compares the extracted characteristic value with a reference value, and changes the amplitude of the output signal from the signal generator 1 such that the characteristic value converge to the reference value.
  • the frequency characteristic identifier 8 determines the frequency characteristic based on the instruction value and the result of measurement by the sensor 6 .
  • the response of the motor 4 is measured by the sensor 6 .
  • the construction it is not limited to this.
  • a sensor may be provided with the system 5 to measure the response of the motor 4 .
  • the signal comparator 7 and the frequency characteristic identifier 8 perform processing based on the result of measurement by the sensor 6 .
  • the construction it is not limited to this.
  • the signal comparator 7 and the frequency characteristic identifier 8 may perform the processing by obtaining a value equivalent to the result of measurement by the sensor 6 , from the controller 3 .
  • FIG. 2 is a flow chart showing how the amplitude of the signal is determined.
  • the adder 2 receives an instruction value that has been set to a constant value (step S 1 ).
  • the signal generator 1 sets amplitude of a signal to be output to a predetermined initial value (step S 2 ).
  • the signal generator 1 generates a signal with the amplitude equal to the initial value and outputs the generated signal (step S 3 ).
  • the signal generator 1 generates the signal by sequentially outputting a sine wave with different frequencies, or by superimposing a plurality of signals having different frequency but same amplitude.
  • the adder 2 adds to the received instruction value the output signal of the signal generator 1 and outputs this result as an instruction value (step S 4 ).
  • the controller 3 controls the motor 4 so as to drive it based on the instruction value output by the adder 2 .
  • the sensor 6 measures response of the motor 4 for a given length of time (step S 5 ).
  • the response of the motor 4 may mean a position or speed of the motor, or current flowing in the motor.
  • the signal comparator 7 stores the motor response measured by the sensor 6 and calculates the difference between the maximum and minimum response.
  • the signal comparator 7 stores the difference as a characteristic value (step S 6 ).
  • the signal comparator 7 then compares the characteristic value and a predetermined reference value, and determines whether the deviation is in a predetermined range (step S 7 ). If the deviation is not in the predetermined range (step S 7 , No), the signal generator 1 changes the amplitude of the output signal so that the characteristic value converges to the reference value (step S 8 ). These steps from S 3 through S 8 are repeated in that order until the deviation between the characteristic value and the target value falls within a predetermined range.
  • the signal generator 1 decides that the data has been obtained in an amount sufficient enough to measure the frequency characteristic. In this case, the signal generator 1 records the amplitude of the output signal, and a proportional gain ranging from the instruction value received from outside to output value of the controller 3 (step S 9 ).
  • the difference between maximum and minimum values of motor response is used above as the characteristic value. However, it is not limited to this. A mean square value of response of the motor 4 measured for a given length of time, for instance, maybe taken as the characteristic value.
  • FIG. 3 is a flow chart describing the process.
  • the adder 2 receives the instruction value which has been set to a constant value (step S 10 ).
  • the signal generator 1 retrieves the proportional gain from the instruction value to the output value of the controller 3 from the controller 3 (step S 11 ).
  • the signal generator 1 decides the amplitude of the output signal based on the received proportional gain, the memorized (at step S 9 ) proportional gain, and the amplitude of the signal (step S 12 )
  • the signal generator 1 determines the amplitude of the output signal as follows. That is, when the proportional gain has changed to a larger value then the output signal having a smaller amplitude is output, and when the proportional gain has changed to a smaller value then the output signal having a larger amplitude is output.
  • the amplitude of output signal K is determined by the following equation (1).
  • G 1 and K 1 are respectively the proportional gain and amplitude memorized at step S 9
  • G represents the proportional gain retrieved at step S 11 .
  • An alternative method may be to prepare a table according to which the amplitude of the signal is determined such that the amplitude is reduced when the proportional gain becomes larger and the amplitude is increased when the proportional gain becomes smaller.
  • the signal generator 1 generates the output signal with the amplitude determined at step S 12 (step S 13 ) so as to measure the frequency characteristic.
  • This signal can be signals that are sequentially output sine waves with different frequencies, or can be superimposed plurality of signals having different frequency but same amplitude.
  • the adder 2 adds the output signal of the signal generator 1 to the instructed value (step S 14 ).
  • the controller 3 controls the motor 4 based on the instruction value output from the adder 2 .
  • the sensor 6 measures the response of the motor 4 (step S 15 ).
  • the frequency characteristic identifier 8 receives the instruction value output from adder 2 , and identifies the frequency characteristic based on this instruction value and the value of a response of the motor 4 received from the sensor 6 (step S 16 ).
  • the senor 6 that is provided with the motor 4 receives the response of motor 4 .
  • it is not limited to this. It is possible to provide the sensor with the system 5 and measure the response of the motor 4 with this sensor.
  • the instruction value obtained from outside is added to a predetermined signal and the servo motor is driven based on the resultant signal.
  • the predetermined signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude.
  • the characteristic value (the difference between maximum and minimum of response from the servo motor), a calculated value of measured response of the servo motor (a position of the motor, speed, current value and other) and the reference value are compared.
  • the characteristic value is outside a predetermined range, the amplitude of the signal is changed so the characteristic value converges to the reference value.
  • Such adjustment is executed repeatedly and when the characteristic value is within the predetermined range, it is determined that the sufficient frequency characteristic is identified. By executing these steps, the signal that is best controlled is used to identify frequency characteristic even though the feedback control system is changed.
  • amplitude of the signal above and the parameter of the feedback control system are stored. If, for example, the parameter of a feedback control system changes, amplitude of the signal changes to the best value. In case the proportional gain becomes larger, the amplitude of the signal is reduced and when the proportional gain becomes smaller, amplitude of the signal is increased.
  • FIG. 4 shows a construction of the second embodiment of the drive controlling apparatus of the present invention.
  • the reference numeral 9 represents a position controller
  • 10 represents an encoder
  • 11 represents a motor
  • 12 represents a speed controller
  • 13 represents a primary differentiating apparatus.
  • the reference numeral 14 represents a signal generator
  • 15 represents an adder
  • 16 represents a current controller.
  • 17 represents a secondary differentiating apparatus
  • 18 represents a system driven that is to be driven
  • 19 represents a signal comparator
  • 20 represents a frequency characteristic identifier.
  • the drive controlling apparatus of the second embodiment operates as described below.
  • the position controller 9 constitutes a part of the feedback control system.
  • the position controller 9 generates a speed instruction value based on a position instruction value received from outside and a positional information of the motor 11 received from the encoder 10 .
  • the speed controller 12 also constitutes a part of the feedback controlling system.
  • the speed controller 12 generates and outputs an electric current instruction value.
  • the speed controller 12 generates the electric current instruction value based on the speed instruction value received from the position controller 9 and a signal output from the primary differentiating apparatus 13 that represents differentiation of the positional information of the motor 11 output from the encoder 10 .
  • the signal generator 14 generates a signal whose frequency characteristic is to be identified. This signal may be a signal that are sequentially output sine waves with different frequencies, or it may be a signal obtained with any other method.
  • the adder 15 adds the signal output from the signal generator 14 and the current instruction value output from the speed controller 12 .
  • the current controller 16 also constitutes a part of the feedback control system.
  • the current controller 16 outputs a current value based the current instruction value output from the adder 15 and a signal output from the secondary differentiating apparatus 17 that represents double differentiation of the positional information of the motor 11 output from the encoder 10 .
  • the motor 11 is driven based on the current value output from current controller 16 .
  • the motor in turn drives the system 18 .
  • the encoder 10 is provided with the motor 11 .
  • the encoder 10 measures the position (or a parameter that is equivalent to the position) of the motor 11 .
  • the signal comparator 19 extracts a characteristic value from the signal output from the secondary differentiating apparatus 17 .
  • the signal comparator 19 adjusts the amplitude of the signal generated by the signal generator 14 so that the characteristic value converges to the reference value.
  • the frequency characteristic identifier 20 identifies frequency characteristic from the speed instruction value output from the position controller 9 and the signal output from the primary differentiating apparatus 13 .
  • FIG. 5 is a flow chart of this process.
  • the position controller 9 receives the instruction value that has been set to a constant value (step S 17 ).
  • the signal generator 14 sets an amplitude of the signal to be output to a predetermined initial value (step S 18 )
  • the signal generator 14 generates and outputs a signal with the set amplitude (step S 19 ).
  • the signal generator 1 generates the sine signal with different frequencies sequentially output or the signal composed by superimposing a plurality of frequencies with the same amplitude.
  • the adder 15 adds the signal output from the signal generator 14 to the current instruction value output from the speed controller 12 and then outputs the result to the current controller 16 (step S 20 ).
  • the encoder 10 obtains positional information of the motor 11 for a given length of time when the adder 15 has performed the addition (step S 21 ).
  • the secondary differentiating apparatus 17 double-differentiates the signal output from the encoder 10 and outputs the result in the form of a current value (step S 22 ).
  • the -signal comparator 19 calculates a characteristic value based on a difference between a maximum and a minimum of the current value output from the secondary differentiating apparatus 17 (step S 23 ).
  • the signal comparator 19 checks whether difference between the characteristic value and a predetermined reference value is within a predetermined range (step S 24 ). If the difference between the characteristic value and the reference value is not within the predetermined range (i.e.
  • step S 24 , No the amplitude of the signal generated in the signal generator 14 is adjusted so that the characteristic value converges to the reference value.
  • step S 24 , Yes the signal comparator 19 records the amplitude of the signal generated by the signal generator 14 as well as the proportional gain from the current instruction value to the output value of the current controller 16 .
  • the characteristic value calculated from the maximum and minimum values of the current (representing positional information of the motor 11 ).
  • the characteristic value may be calculated from a mean square of the current within a given length of time.
  • FIG. 6 is a flow chart that shows how the frequency characteristic is determined.
  • the position controller 9 receives thean instruction value that has been set to a constant value (step S 27 ).
  • the signal generator 14 retrieves the proportional gain from the current instruction value to the output value of the current controller 16 (step S 28 ). Then, the signal generator 14 determines the amplitude based on the retrieved and the recorded the proportional gain and the recorded output amplitude (step S 29 ). The signal generator 14 generates a signal having the determined amplitude (step S 30 ). Precisely, the signal generator 14 decreases the amplitude when the proportional gain has increased, and increased the amplitude when the proportional gain has decreased.
  • the adder 15 adds the signal generated by the signal generator 14 to the current instruction value output from the speed controller 12 to output a current instruction value (step S 31 ).
  • the current controller 16 drives the motor 11 based on the current instruction value output from adder 15 .
  • the frequency characteristic identifier 20 identifies the frequency characteristic of a speed loop.
  • the frequency characteristic identifier 20 identifies the frequency characteristic based on the speed instruction value output from the position controller 9 , and the signal (“speed feedback value”) output from the primary differentiating apparatus 13 (step S 32 ).
  • the output signal of the signal generator 14 can be added to the position instruction value or the speed instruction value.
  • the current instruction value obtained from the positional instruction value is added to a predetermined signal and the motor is driven based on the result of this addition.
  • the predetermined signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude.
  • the characteristic value, response of the servo motor is measured, and the characteristic value obtained based on this response is compared with the reference value.
  • the response can be the speed feedback value, the position feedback value, or the current feedback value.
  • the characteristic value is the difference between the maximum and minimum values of the response. If the difference between the characteristic value and the reference value is not within a predetermined range, the amplitude of the signal is changed. This process is repeated until the characteristic value converges to the reference value. As a result, accurate frequency characteristic is identified even if the feedback control system changes.
  • the amplitude and the parameters of the feedback control system are stored.
  • an optimal value of the amplitude can be calculated using the stored values. For example, if the proportional gain has increased the amplitude is reduced, and if the proportional gain has decreased the amplitude is increased.
  • frequency characteristic can be identified using a signal that is optimal even though there is a change in the feedback control system.
  • the method and the apparatus according to the present invention make it possible to identify frequency characteristic accurately.

Abstract

An instruction value is added to a specific signal to obtain an added signal. Motor is driven based on this added signal. Response of the motor is measured while the motor is being driven. A characteristic value calculated based on the response is compared with a reference value. When the characteristic value is significantly smaller than the reference value, the amplitude of the specific signal is changed so that the characteristic value converges to the reference value. When the characteristic value has almost converged to the reference value, frequency characteristics can be identified accurately.

Description

    BACKGROUND OF THE INVENTION
  • 1) Field of the Invention [0001]
  • The present invention relates to a technology for accurately identifying frequency characteristic and controlling a servo motor. [0002]
  • 2) Description of the Related Art [0003]
  • A conventional method of identifying frequency characteristic will be explained here. Such a method has been described in Japanese Patent Application Laid-Open No. 5-19858 titled “servo actuator”. Frequency characteristic is identified by adding a scanned alternate signal to the instruction value of a servo system and measuring the response of the feedback control system relative to the signal added. [0004]
  • Precisely, a scanned signal and a speed instruction signal are superimposed and data of amplitude is generated from the signals changed from the superimposed signals in a stated procedure. Resonance frequency is calculated based on this amplitude data. The resonance frequency is a frequency at which the rate of change in the amplitude data turns from positive to negative. [0005]
  • In the above-mentioned conventional method of identifying frequency characteristic, frequency characteristic is accurately identified by adding an adequate scanned signal to speed instruction value. In other words, it is impossible to identify proper frequency characteristic unless the scanned signal added to speed instruction signal is appropriate. [0006]
  • In the conventional method, moreover, there is no reference on which to determine the amplitude of the scanned signal. Therefore, if the feedback control system is changed, it is not possible to precisely determine amplitude of scanned signal and so frequency characteristic can not be identified properly. [0007]
  • On the other hand, even if the feedback system is the same, but certain parameters are changed, then the frequency characteristic shall change. In that case, it is again not possible to determine adequate amplitude and therefore, identification of a frequency characteristic is not accurate. [0008]
  • SUMMARY OF THE INVENTION
  • The object of the present invention is to provide a method of identifying a frequency characteristic and a drive controlling apparatus that can identify a frequency characteristic accurately. [0009]
  • In the method and apparatus according to the present invention, an instruction value is added to a specific signal to obtain an added signal. A servo motor is driven based on this added signal. A parameter of the motor is measured while the motor is being driven. The parameter may be a response of the motor or positional information of a part of the motor. A characteristic value calculated based on the measured parameter is compared with a reference value. When the characteristic value significantly smaller than the reference value, the amplitude of the specific signal is changed so that the characteristic value converges to the reference value. When the characteristic value has almost converged to the reference value, frequency characteristics can be identified accurately. [0010]
  • These and other objects, features and advantages of the present invention are specifically set forth in or will become apparent from the following detailed descriptions of the invention when read in conjunction with the accompanying drawings.[0011]
  • BRIEF DESCRIPTION OF THE DRAWINGS
  • FIG. 1 shows the configuration of the first embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized, [0012]
  • FIG. 2 is a flow chart showing how the amplitude of the signal is determined, [0013]
  • FIG. 3 is a flow chart describing the process of measuring the frequency characteristic, [0014]
  • FIG. 4 is the configuration of the second embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized, [0015]
  • FIG. 5 is a flow chart showing how the amplitude of the signal is determined, and [0016]
  • FIG. 6 is a flow chart describing the process of measuring the frequency characteristic.[0017]
  • DETAILED DESCRIPTIONS
  • Embodiment(s) of the frequency characteristic identifying method and the drive controlling apparatus according to the present invention will be explained in detail below with reference to the accompanying drawings. It should be noted that the present invention is not limited to the below-explained embodiments. [0018]
  • FIG. 1 shows a construction of the first embodiment of the drive controlling apparatus of the present invention on which the frequency characteristic identifying method is realized. In FIG. 1, the [0019] reference numeral 1 represents a signal generator, 2 represents an adder, 3 represents a controller, 4 represents a motor, and 5 represents a system that is to be driven. Moreover, the reference numeral 6 represents a sensor, 7 represents a signal comparator, and 8 represents a frequency characteristic identifier.
  • The drive controlling apparatus shown in FIG. 1 works as follows. The [0020] signal generator 1 generates a signal. This signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude. The adder 2 adds the signal generated by the signal generator 1 to an instruction value.
  • The drive controlling apparatus comprises a feedback control system. In this feedback system, the [0021] controller 3 outputs an electric current to the motor 4 according to the instruction value and a feedback value. The motor 4 drives the system 5 based on a current output from the controller 3. The current output from the controller 3 is equivalent to the instruction value. The sensor 6 measures a response of the motor 4 and the result is transferred to the controller 3 and the signal comparator 7 as feedback. The sensor 6 will be described in detail later.
  • The [0022] signal comparator 7 extracts a characteristic value based on the result of measurement by the sensor 6. The signal comparator 7 compares the extracted characteristic value with a reference value, and changes the amplitude of the output signal from the signal generator 1 such that the characteristic value converge to the reference value. The frequency characteristic identifier 8 determines the frequency characteristic based on the instruction value and the result of measurement by the sensor 6.
  • The response of the [0023] motor 4 is measured by the sensor 6. However, the construction it is not limited to this. For example, a sensor may be provided with the system 5 to measure the response of the motor 4.
  • Moreover, the [0024] signal comparator 7 and the frequency characteristic identifier 8 perform processing based on the result of measurement by the sensor 6. However, the construction it is not limited to this. For example, the signal comparator 7 and the frequency characteristic identifier 8 may perform the processing by obtaining a value equivalent to the result of measurement by the sensor 6, from the controller 3.
  • How the amplitude of the signal output from the [0025] signal generator 1 is determined is described below. FIG. 2 is a flow chart showing how the amplitude of the signal is determined.
  • The [0026] adder 2 receives an instruction value that has been set to a constant value (step S1). Next, the signal generator 1 sets amplitude of a signal to be output to a predetermined initial value (step S2). Then, the signal generator 1 generates a signal with the amplitude equal to the initial value and outputs the generated signal (step S3). The signal generator 1 generates the signal by sequentially outputting a sine wave with different frequencies, or by superimposing a plurality of signals having different frequency but same amplitude.
  • The [0027] adder 2 adds to the received instruction value the output signal of the signal generator 1 and outputs this result as an instruction value (step S4). The controller 3 controls the motor 4 so as to drive it based on the instruction value output by the adder 2. Also, the sensor 6 measures response of the motor 4 for a given length of time (step S5). The response of the motor 4 may mean a position or speed of the motor, or current flowing in the motor.
  • The [0028] signal comparator 7 stores the motor response measured by the sensor 6 and calculates the difference between the maximum and minimum response. The signal comparator 7 stores the difference as a characteristic value (step S6). The signal comparator 7 then compares the characteristic value and a predetermined reference value, and determines whether the deviation is in a predetermined range (step S7). If the deviation is not in the predetermined range (step S7, No), the signal generator 1 changes the amplitude of the output signal so that the characteristic value converges to the reference value (step S8). These steps from S3 through S8 are repeated in that order until the deviation between the characteristic value and the target value falls within a predetermined range. On the other hand, when the deviation is within the predetermined range (step S7, Yes), the signal generator 1 decides that the data has been obtained in an amount sufficient enough to measure the frequency characteristic. In this case, the signal generator 1 records the amplitude of the output signal, and a proportional gain ranging from the instruction value received from outside to output value of the controller 3 (step S9).
  • The difference between maximum and minimum values of motor response is used above as the characteristic value. However, it is not limited to this. A mean square value of response of the [0029] motor 4 measured for a given length of time, for instance, maybe taken as the characteristic value.
  • The process of measuring the frequency characteristic is described below. FIG. 3 is a flow chart describing the process. [0030]
  • To begin with, the [0031] adder 2 receives the instruction value which has been set to a constant value (step S10). The signal generator 1 retrieves the proportional gain from the instruction value to the output value of the controller 3 from the controller 3 (step S11). The signal generator 1 then decides the amplitude of the output signal based on the received proportional gain, the memorized (at step S9) proportional gain, and the amplitude of the signal (step S12)
  • The [0032] signal generator 1 determines the amplitude of the output signal as follows. That is, when the proportional gain has changed to a larger value then the output signal having a smaller amplitude is output, and when the proportional gain has changed to a smaller value then the output signal having a larger amplitude is output. For example, the amplitude of output signal K is determined by the following equation (1).
  • K=K1×G1/G   (1)
  • where G[0033] 1 and K1 are respectively the proportional gain and amplitude memorized at step S9, and G represents the proportional gain retrieved at step S11.
  • An alternative method may be to prepare a table according to which the amplitude of the signal is determined such that the amplitude is reduced when the proportional gain becomes larger and the amplitude is increased when the proportional gain becomes smaller. [0034]
  • The [0035] signal generator 1 generates the output signal with the amplitude determined at step S12 (step S13) so as to measure the frequency characteristic. This signal can be signals that are sequentially output sine waves with different frequencies, or can be superimposed plurality of signals having different frequency but same amplitude.
  • The [0036] adder 2 adds the output signal of the signal generator 1 to the instructed value (step S14). The controller 3 controls the motor 4 based on the instruction value output from the adder 2. The sensor 6 measures the response of the motor 4 (step S15).
  • The frequency [0037] characteristic identifier 8 receives the instruction value output from adder 2, and identifies the frequency characteristic based on this instruction value and the value of a response of the motor 4 received from the sensor 6 (step S16).
  • It has been mentioned above that the [0038] sensor 6 that is provided with the motor 4 receives the response of motor 4. However, it is not limited to this. It is possible to provide the sensor with the system 5 and measure the response of the motor 4 with this sensor.
  • As explained above, in the first embodiment, the instruction value obtained from outside is added to a predetermined signal and the servo motor is driven based on the resultant signal. The predetermined signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude. Moreover, the characteristic value (the difference between maximum and minimum of response from the servo motor), a calculated value of measured response of the servo motor (a position of the motor, speed, current value and other) and the reference value are compared. When the characteristic value is outside a predetermined range, the amplitude of the signal is changed so the characteristic value converges to the reference value. Such adjustment is executed repeatedly and when the characteristic value is within the predetermined range, it is determined that the sufficient frequency characteristic is identified. By executing these steps, the signal that is best controlled is used to identify frequency characteristic even though the feedback control system is changed. [0039]
  • Also, when sufficient accuracy is gained, amplitude of the signal above and the parameter of the feedback control system are stored. If, for example, the parameter of a feedback control system changes, amplitude of the signal changes to the best value. In case the proportional gain becomes larger, the amplitude of the signal is reduced and when the proportional gain becomes smaller, amplitude of the signal is increased. [0040]
  • FIG. 4 shows a construction of the second embodiment of the drive controlling apparatus of the present invention. The [0041] reference numeral 9 represents a position controller, 10 represents an encoder, 11 represents a motor, 12 represents a speed controller, and 13 represents a primary differentiating apparatus. Moreover, the reference numeral 14 represents a signal generator, 15 represents an adder, and 16 represents a current controller. Moreover, 17 represents a secondary differentiating apparatus, 18 represents a system driven that is to be driven, 19 represents a signal comparator, and 20 represents a frequency characteristic identifier.
  • The drive controlling apparatus of the second embodiment operates as described below. The [0042] position controller 9 constitutes a part of the feedback control system. The position controller 9 generates a speed instruction value based on a position instruction value received from outside and a positional information of the motor 11 received from the encoder 10.
  • The [0043] speed controller 12 also constitutes a part of the feedback controlling system. The speed controller 12 generates and outputs an electric current instruction value. The speed controller 12 generates the electric current instruction value based on the speed instruction value received from the position controller 9 and a signal output from the primary differentiating apparatus 13 that represents differentiation of the positional information of the motor 11 output from the encoder 10. The signal generator 14 generates a signal whose frequency characteristic is to be identified. This signal may be a signal that are sequentially output sine waves with different frequencies, or it may be a signal obtained with any other method. The adder 15 adds the signal output from the signal generator 14 and the current instruction value output from the speed controller 12.
  • The [0044] current controller 16 also constitutes a part of the feedback control system. The current controller 16 outputs a current value based the current instruction value output from the adder 15 and a signal output from the secondary differentiating apparatus 17 that represents double differentiation of the positional information of the motor 11 output from the encoder 10. The motor 11 is driven based on the current value output from current controller 16. The motor in turn drives the system 18. The encoder 10 is provided with the motor 11. The encoder 10 measures the position (or a parameter that is equivalent to the position) of the motor 11.
  • The [0045] signal comparator 19 extracts a characteristic value from the signal output from the secondary differentiating apparatus 17. The signal comparator 19 adjusts the amplitude of the signal generated by the signal generator 14 so that the characteristic value converges to the reference value. The frequency characteristic identifier 20 identifies frequency characteristic from the speed instruction value output from the position controller 9 and the signal output from the primary differentiating apparatus 13.
  • The amplitude of the signal generated in the [0046] signal generator 14 is adjusted with a process that is described below. FIG. 5 is a flow chart of this process.
  • To begin with, the [0047] position controller 9 receives the instruction value that has been set to a constant value (step S17). The signal generator 14 sets an amplitude of the signal to be output to a predetermined initial value (step S18) The signal generator 14 generates and outputs a signal with the set amplitude (step S19). Here, the signal generator 1 generates the sine signal with different frequencies sequentially output or the signal composed by superimposing a plurality of frequencies with the same amplitude.
  • The [0048] adder 15 adds the signal output from the signal generator 14 to the current instruction value output from the speed controller 12 and then outputs the result to the current controller 16 (step S20). The encoder 10 obtains positional information of the motor 11 for a given length of time when the adder 15 has performed the addition (step S21).
  • The secondary differentiating [0049] apparatus 17 double-differentiates the signal output from the encoder 10 and outputs the result in the form of a current value (step S22). The -signal comparator 19 calculates a characteristic value based on a difference between a maximum and a minimum of the current value output from the secondary differentiating apparatus 17 (step S23). Moreover, the signal comparator 19 checks whether difference between the characteristic value and a predetermined reference value is within a predetermined range (step S24). If the difference between the characteristic value and the reference value is not within the predetermined range (i.e. the characteristic value and the reference value are not close) (step S24, No), the amplitude of the signal generated in the signal generator 14 is adjusted so that the characteristic value converges to the reference value. On the other hand, if the difference between the characteristic value and the reference value is within the predetermined range (i.e. the characteristic value and the reference value are close) (step S24, Yes), then the signal comparator 19 records the amplitude of the signal generated by the signal generator 14 as well as the proportional gain from the current instruction value to the output value of the current controller 16.
  • It has been mentioned above that the characteristic value calculated from the maximum and minimum values of the current (representing positional information of the motor [0050] 11). However, it is not limited to this. For example, the characteristic value may be calculated from a mean square of the current within a given length of time.
  • How the frequency characteristic is determined will now be described. FIG. 6 is a flow chart that shows how the frequency characteristic is determined. [0051]
  • To begin with, the [0052] position controller 9 receives thean instruction value that has been set to a constant value (step S27). The signal generator 14 retrieves the proportional gain from the current instruction value to the output value of the current controller 16 (step S28). Then, the signal generator 14 determines the amplitude based on the retrieved and the recorded the proportional gain and the recorded output amplitude (step S29). The signal generator 14 generates a signal having the determined amplitude (step S30). Precisely, the signal generator 14 decreases the amplitude when the proportional gain has increased, and increased the amplitude when the proportional gain has decreased.
  • The [0053] adder 15 adds the signal generated by the signal generator 14 to the current instruction value output from the speed controller 12 to output a current instruction value (step S31). The current controller 16 drives the motor 11 based on the current instruction value output from adder 15.
  • The frequency [0054] characteristic identifier 20 identifies the frequency characteristic of a speed loop. The frequency characteristic identifier 20 identifies the frequency characteristic based on the speed instruction value output from the position controller 9, and the signal (“speed feedback value”) output from the primary differentiating apparatus 13 (step S32).
  • The method explained above is not limited to this alone. For example, the output signal of the [0055] signal generator 14 can be added to the position instruction value or the speed instruction value. Moreover, it is possible to identify the frequency characteristic of the positional loop from the positional instruction value and positional feedback value and it is also possible to identify the frequency characteristic of the current loop from the current instruction value and current feedback value. It is also possible to use a sensor in the system 18 instead of the encoder 10 to identify the frequency characteristic.
  • In the second embodiment, the current instruction value obtained from the positional instruction value is added to a predetermined signal and the motor is driven based on the result of this addition. The predetermined signal may be signals that are sequentially output sine waves with different frequencies, or a plurality of superimposed signals having different frequency but same amplitude. Moreover, the characteristic value, response of the servo motor is measured, and the characteristic value obtained based on this response is compared with the reference value. The response can be the speed feedback value, the position feedback value, or the current feedback value. The characteristic value is the difference between the maximum and minimum values of the response. If the difference between the characteristic value and the reference value is not within a predetermined range, the amplitude of the signal is changed. This process is repeated until the characteristic value converges to the reference value. As a result, accurate frequency characteristic is identified even if the feedback control system changes. [0056]
  • When it is decided that the frequency characteristic can be obtained with sufficient accuracy, then the amplitude and the parameters of the feedback control system are stored. As a result, if, for example, the parameters of the feedback control system have undergone a change, an optimal value of the amplitude can be calculated using the stored values. For example, if the proportional gain has increased the amplitude is reduced, and if the proportional gain has decreased the amplitude is increased. As a result, frequency characteristic can be identified using a signal that is optimal even though there is a change in the feedback control system. [0057]
  • As explained above, the method and the apparatus according to the present invention make it possible to identify frequency characteristic accurately. [0058]
  • Although the invention has been described with respect to a specific embodiment for a complete and clear disclosure, the appended claims are not to be thus limited but are to be construed as embodying all modifications and alternative constructions that may occur to one skilled in the art which fairly fall within the basic teaching herein set forth. [0059]

Claims (14)

What is claimed is:
1. A frequency characteristic identifying method executable in a drive controlling apparatus that controls driving of a servo motor, the method comprising:
receiving an instruction value;
generating a signal by sequentially outputting a sine wave with different frequencies or by superimposing a plurality of signals having different frequency but same amplitude;
adding the instruction value and the generated signal to obtain an added signal;
driving the servo motor based on the added signal;
measuring a parameter of the servo motor while the servo motor is being driven;
calculating a characteristic value based on the measured parameter;
comparing the characteristic value and a reference value; and
when the characteristic value is less than the reference value, changing an amplitude of the signal generated at the generating step such that the characteristic value converges to the reference value.
2. The frequency characteristic identifying method according to claim 1 further comprising:
when the characteristic value is equal to or greater than the reference value, storing the amplitude of the signal generated at the generating step.
3. The frequency characteristic identifying method according to claim 1, further comprising:
calculating a proportional gain based on the instruction value;
storing at least a previous proportional gain and a current proportional gain;
comparing the stored proportional gains;
when the stored proportional gains are not equal to each other, changing the amplitude of the signal generated at the signal generating step.
4. The frequency characteristic identifying method according to claim 3, when the changing the amplitude, the amplitude is reduced when the current proportional gain is larger than the previous proportional gain, and the amplitude is increased when the current proportional gain is smaller than the previous proportional gain.
5. The frequency characteristic identifying method according to claim 1, further comprising storing the parameters of the servo motor acquired during a predetermined time period,
wherein the characteristic value is obtained as a difference between a maximum value and a minimum value of the stored parameters.
6. The frequency characteristic identifying method according to claim 1, further comprising storing the parameters of the servo motor acquired during a predetermined time period,
wherein the characteristic value is obtained as a mean square root of the stored parameters.
7. The frequency characteristic identifying method according to claim 1, wherein the parameter of the servo motor is any one of a position of the servo motor, speed of the servo motor, and current flowing in the servo motor.
8. A drive controlling apparatus that controls a servo motor comprising:
a signal generator which generates a signal by sequentially outputting a sine wave with different frequencies or by superimposing a plurality of signals having different frequency but same amplitude;
an adder which adds the signal generated by the signal generator to an instruction value to obtain an added signal;
a controller which controls the servo motor based on the added signal;
a sensor which measures a parameter of the servo motor; and
a signal comparator which calculates a characteristic value based on the parameter and compares the characteristic value with a reference value,
wherein the signal generator changes an amplitude of the generated signal, when the signal comparator decides that the characteristic value is less than the reference value, such that the characteristic value converges to the reference value.
9. The drive controlling apparatus according to claim 8, further comprising:
a storing unit that stores the amplitude of the signal generated by the signal generator when the signal comparator decides that the characteristic value is equal to or greater than the reference value.
10. The drive controlling apparatus according to claim 8, further comprising a storing unit, wherein
the controller calculates a proportional gain based on the instruction value;
the storing unit stores at least a previous proportional gain and a current proportional gain;
the signal comparator compares the proportional gains stored in the storing unit; and
the signal generator changes the amplitude of the generated signal when it is determined by the signal comparator that the stored proportional gains are not equal to each other.
11. The drive controlling apparatus according to claim 10, when the changing the amplitude, the signal generator reduces the amplitude when the current proportional gain is larger than the previous proportional gain, and increases the amplitude when the current proportional gain is smaller than the previous proportional gain.
12. The drive controlling apparatus according to claim 8, further comprising a storing unit which stores the parameters of the servo motor acquired during a predetermined time period,
wherein the signal comparator calculates the characteristic value as a difference between a maximum value and a minimum value of the parameters stored in the storing unit.
13. The drive controlling apparatus according to claim 8, further comprising a storing unit which stores the parameters of the servo motor acquired during a predetermined time period,
wherein the signal comparator calculates the characteristic value as a mean square root of the parameters stored in the storing unit.
14. The drive controlling apparatus according to claim 8, wherein the parameter of the servo motor is any one of a position of the servo motor, speed of the servo motor, and current flowing in the servo motor.
US10/254,776 2002-04-24 2002-09-26 Frequency characteristic identifying method and drive controlling apparatus Expired - Fee Related US6639376B1 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
JP2002122989A JP3867009B2 (en) 2002-04-24 2002-04-24 Frequency characteristic identification method and drive control apparatus
JP2002-122989 2002-04-24

Publications (2)

Publication Number Publication Date
US6639376B1 US6639376B1 (en) 2003-10-28
US20030201748A1 true US20030201748A1 (en) 2003-10-30

Family

ID=29243650

Family Applications (1)

Application Number Title Priority Date Filing Date
US10/254,776 Expired - Fee Related US6639376B1 (en) 2002-04-24 2002-09-26 Frequency characteristic identifying method and drive controlling apparatus

Country Status (4)

Country Link
US (1) US6639376B1 (en)
JP (1) JP3867009B2 (en)
DE (1) DE10250388A1 (en)
TW (1) TW566010B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20170292980A1 (en) * 2016-04-08 2017-10-12 Okuma Corporation Frequency characteristic measuring method at feed axis control unit

Families Citing this family (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP5111031B2 (en) * 2007-09-14 2012-12-26 キヤノン株式会社 Displacement detection method and motor control device
JP2009148082A (en) * 2007-12-14 2009-07-02 Konica Minolta Business Technologies Inc Image forming apparatus
JP4327880B2 (en) 2008-01-04 2009-09-09 ファナック株式会社 Servo motor controller with automatic gain adjustment function
JP5813151B2 (en) 2014-02-21 2015-11-17 ファナック株式会社 Numerical control device having function of calculating frequency characteristic of control loop
US11271498B2 (en) * 2017-09-28 2022-03-08 Nidec Corporation Brushless DC motor having drive circuit generating superimposed signal
JP6806754B2 (en) * 2018-11-13 2021-01-06 ファナック株式会社 Machine tool and vibration diagnosis support method
WO2023053453A1 (en) * 2021-10-01 2023-04-06 ファナック株式会社 Control device and control method
WO2023053455A1 (en) * 2021-10-01 2023-04-06 ファナック株式会社 Control device and control method

Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3742326A (en) * 1970-09-16 1973-06-26 Tokyo Shibaura Electric Co Digital servo mechanism
US4339700A (en) * 1981-02-23 1982-07-13 Ex-Cell-O Corporation High frequency control system using digital techniques
US4516065A (en) * 1982-09-07 1985-05-07 Hitachi, Ltd. Control apparatus for AC motors
US4744933A (en) * 1984-02-15 1988-05-17 Massachusetts Institute Of Technology Process for encapsulation and encapsulated active material system
US4925677A (en) * 1988-08-31 1990-05-15 Theratech, Inc. Biodegradable hydrogel matrices for the controlled release of pharmacologically active agents
US5008116A (en) * 1988-11-14 1991-04-16 Frederick Cahn Immunostimulatory microsphere
US5160745A (en) * 1986-05-16 1992-11-03 The University Of Kentucky Research Foundation Biodegradable microspheres as a carrier for macromolecules
US5595760A (en) * 1994-09-02 1997-01-21 Delab Sustained release of peptides from pharmaceutical compositions
US5637309A (en) * 1993-09-20 1997-06-10 Shiseido Company, Ltd. Physiologically active substance-prolonged releasing-type pharmaceutical preparation

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0744862B2 (en) * 1988-02-26 1995-05-15 富士電機株式会社 Electric motor speed controller
JPH0519858A (en) 1991-07-15 1993-01-29 Yokogawa Electric Corp Servo actuator

Patent Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3742326A (en) * 1970-09-16 1973-06-26 Tokyo Shibaura Electric Co Digital servo mechanism
US4339700A (en) * 1981-02-23 1982-07-13 Ex-Cell-O Corporation High frequency control system using digital techniques
US4516065A (en) * 1982-09-07 1985-05-07 Hitachi, Ltd. Control apparatus for AC motors
US4744933A (en) * 1984-02-15 1988-05-17 Massachusetts Institute Of Technology Process for encapsulation and encapsulated active material system
US5160745A (en) * 1986-05-16 1992-11-03 The University Of Kentucky Research Foundation Biodegradable microspheres as a carrier for macromolecules
US4925677A (en) * 1988-08-31 1990-05-15 Theratech, Inc. Biodegradable hydrogel matrices for the controlled release of pharmacologically active agents
US5008116A (en) * 1988-11-14 1991-04-16 Frederick Cahn Immunostimulatory microsphere
US5637309A (en) * 1993-09-20 1997-06-10 Shiseido Company, Ltd. Physiologically active substance-prolonged releasing-type pharmaceutical preparation
US5595760A (en) * 1994-09-02 1997-01-21 Delab Sustained release of peptides from pharmaceutical compositions

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20170292980A1 (en) * 2016-04-08 2017-10-12 Okuma Corporation Frequency characteristic measuring method at feed axis control unit
US10649014B2 (en) * 2016-04-08 2020-05-12 Okuma Corporation Frequency characteristic measuring method at feed axis control unit

Also Published As

Publication number Publication date
DE10250388A1 (en) 2003-11-13
JP2003316402A (en) 2003-11-07
US6639376B1 (en) 2003-10-28
TW566010B (en) 2003-12-11
JP3867009B2 (en) 2007-01-10

Similar Documents

Publication Publication Date Title
KR900005546B1 (en) Adaptive process control system
US7956568B2 (en) Servo motor controller
US7170251B2 (en) System and method for diagnosing a controller in a limited rotation motor system
US6861814B2 (en) Control parameter automatic adjustment apparatus
US6639376B1 (en) Frequency characteristic identifying method and drive controlling apparatus
EP1278109A1 (en) Tuned open-loop switched to closed-loop method for rapid point-to-point movement of a periodic motion control system
CN106557073B (en) Servo control device having function of measuring characteristics of learning controller
US11175163B2 (en) Method and apparatus for calibrating an actuator system
US5926385A (en) Feedback control method for chaos system using adaptive tracking
JP2006221404A (en) Motor controller, its mechanical characteristic measuring method, and controller adjustment method
WO2011086709A1 (en) Ramp-unloading seek control device of magnetic disk device
US20010020192A1 (en) Automatic speed loop gain adjustment method and apparatus for a feedback control system
US8872064B2 (en) Positioning control system for moving element and laser drilling machine
JP2890529B2 (en) Self tuning method
JP5245638B2 (en) Gain adjusting device, gain adjusting method, gain adjusting program
US20230297814A1 (en) Method and Device for Calibrating and Operating a Sensor Component with the Aid of Machine Learning Methods
US20230251116A1 (en) Method for calibrating linearization function for correcting output of position sensor
EP1887442A1 (en) Method of automatically tuning motor controller and motor controller
JP3503238B2 (en) Adaptive controller
JP2543228B2 (en) Tracking controller
KR20230152937A (en) Servomotor control method for pi gain tuning and servomotor control system supporting the same
JPH0588749A (en) Sliding mode control method
JPH088274Y2 (en) Power generation system controller
CN113608272A (en) Method and device for correcting received signal of metal detector
JPH1114728A (en) Movable body-loaded target tracking device

Legal Events

Date Code Title Description
AS Assignment

Owner name: MITSUBISHI DENKI KABUSHIKI KAISHA, JAPAN

Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:HAYASHI, EIJI;REEL/FRAME:013337/0610

Effective date: 20020828

FEPP Fee payment procedure

Free format text: PAYOR NUMBER ASSIGNED (ORIGINAL EVENT CODE: ASPN); ENTITY STATUS OF PATENT OWNER: LARGE ENTITY

FPAY Fee payment

Year of fee payment: 4

FPAY Fee payment

Year of fee payment: 8

REMI Maintenance fee reminder mailed
LAPS Lapse for failure to pay maintenance fees
STCH Information on status: patent discontinuation

Free format text: PATENT EXPIRED DUE TO NONPAYMENT OF MAINTENANCE FEES UNDER 37 CFR 1.362

FP Lapsed due to failure to pay maintenance fee

Effective date: 20151028