RATIO PRESERVING CONTROL SYSTEM I. TECHNICAL FIELD
This invention is concerned with maintaining a selected ratio between multiple, independently changeable operating parameters of a control system such as those associated with a camera zoom lens system. These ratios are normally difficult to interrelate, especially where the functional relationship between each control input and its operational parameter is different for the different operational parameters. One instance where it is desirable to interrelate these parameters is the object distance parameter and the focal length parameter of a camera zoom lens in order to keep the image size from the lens system constant even through the distance between the subject being photographed and the lens system varies. II. BACKGROUND ART
It is desirable on occasion to interrelate the normally independently controlled operating parameters of a control system so as to automatically maintain selected ratios between the operating parameters as any one of the parameters is changed. One such control system in which this feature is desired is a zoom lens for a camera where the maintenance of a constant image size is desired even through the distance between the lens and the subject being photographed is changing.
With respect to zoom lens, the prior art has attempted to interrelate the object distance parameter used to focus the lens and the focal length parameter used to zoom the lens through the use of cams with non-logarithmic camming surface so as to maintain a fixed ratio between the object distance parameter and the focal length parameter of the lens.
Such systems prevented the zoom lens from teing effectively used as a conventional zoom lens where the object distance parameter is controllable independently of the focal length parameter and also was unable to interrelate the operating parameters at different desired ratios. The prior art has further attempted to permit interrelating the object distance parameter with the focal length parameter by providing an object distance control member whose rotational movement was logarithmic of the actual value of the object distance parameter set by the object distance control member and by providing a focal length control member whose rotational movement was logarithmic of the actual value of the focal length parameter set by the focal length control member. The object distance control member and the focal length control member are rotatably mounted about a common rotational axis so that the operator may manually hold and rotate both control members simultaneously to maintain constant ratios between the object distance setting and focal length setting of the lens. Such systems depended on the ability of the operator to manually hold and turn the control members and required complex internal constructions to correlate the control member movement with the setting of the operating parameter. Such systems also caused a loss of effectively obtainable accuracy in certain settings of the lens. III. SUMMARY OF THE INVENTION According to the present invention, there is provided an interlock mechanism for an operating system with a plurality of independently controllable operating parameters comprising sending means for generating control outputs which correspond to the logarithmic value to a common base of the respective
actual values of the different operating parameters; and control means operatively connected to the sending means and responsive to the difference between the control outputs to change the actual values of the operating parameters in response to a change in the actual value of one of the operating parameters to maintain a selected difference between the control outputs so that a prescribed ratio is maintained between the actual values of the operating parameters. Embodiments of the invention are illustrated applied to a camera zoom lens to interrelate the object distance parameter and focal length parameter of the lens without the requirement of special internal lens construction. Electromechanical, mechanical and electrical versions of the interlock mechanism are illustrated. The control means of the interlock mechanism is adjustable to permit different ratios to be selectively maintained between the operational control parameters of the operating system. The control outputs of the electromechanical version of the interlock mechanism are electrical voltages whose values are respectively representative of the logarithmic value to a common base of the actual value of the operating parameter with which the control output is associated. The control means of the electromechanical version includes an adjustment mechanism for selectively adding selected voltage values to certain of the voltage outputs to generate apparent voltage outputs with the control means responsive to any difference between one of the voltage outputs to change the actual value of the operating parameters in respons e to a change in the actual value of one of the operating parameters until one of the voltage outputs equals the apparent voltage outputs so that prescribed ratios are maintained between the
actual values of the operating parameters.
The control outputs of the mechanical version of the interlock mechanism are the parallel linear movements of output members where the amount of linear movement of each of the output members corresponds to the logarithmic value to a common base of the actual value of the operating parameter with which the output member is associated. The control means of themechanical version includes interconnecting means for selectively locking the output members together so that movement of one of the output members as its associated operating parameter is changed causes a like movement in the other of the output members to change the operating parameter associated with each so that the selected prescribed ratio is maintained between the operating parameters.
IV. BRIEF DESCRIPTION OF THE DRAWINGS
Fig. 1 is a partial side elevational view of a camera zoom lens on which a first embodiment of the invention is incorporated; Fig. 2 is an electrical schematic of the control circuit associated with the invention seen in Fig. 1;
Fig. 3 is a composite graph illustrating the operation of the invention of Fig. 1;
Fig. 4 is a perspective view of a second embodiment of the invention;
Fig. 5 is a plane view of a third embodiment of the invention; and
Fig. 6 is an electrical schematic for the embodiment of the invention of Fig. 5.
V. DETAILED DESCRIPTION OF ILLUSTRATIVE EMBODIMENTS
The invention of this application is disclosed as applied to the power zoom lens LPZ of a movie camera CM in Figs. 1-3, to a nonpowered zoom lens LZ of a still camera BC in Fig. 4 and to a three variable control system in Figs. 5 and 6. The invention can likewise be appl to a wide variety of systems which have two or more. independently variable control parameters. Va. First Embodiment
In Figs. 1-3, the lens LPZ has a conventional manually operated object distance (focus) control member CMOD, and a conventional power or manually operated focal length (zoom) control member CMFL rotatably mounted on lens body B, about lens axis AL. Camera body BMC mounts the reversible motor drive unit MDU to selectively power control member CMFL through gears GM. An interlock control mechanism 10 with an object distance sending unit 11 and a focal length sending unit 12 controlling a ratio base control unit 14 powered through switch SWI and adjusted with selector knob 15 automatically maintains any selected ratio between object distance and focal length.
The camming surface 26 on an object distance cam 25 carried by control member CMOD axially displaces a spring urged drive rod 21 to adjust the movable contact POD-M of a linear potentiometer assembly 20 in sending unit 11 via a cam follower roller 24 in roller assembly 22 on drive rod 21 as control member CMOD is rotated to adjust the object distance parameter and focus lens LPZ. Similarly, the camming surface 36 on a focal length cam 35 carried by control member CMFL axially displaces a spring urged drive rod 31 to adjust the movable contact PFL-M of a linear potentiometer assembly 30 in sending unit 12 via a cam follower
roller 34 in roller assembly 32 on drive rod 31 as control member CMFL is rotated to adjust the focal length parameter of lens LPZ. The shape of the object distance camming surface 26 is logarithmic of the values of the object distance parameter to which the lens can be set so that the voltage output at the movable contact POD-M on potentiometer assembly 20 is the logarithm to common base of the value of the object distance parameter to which the lens is set. Thus, the drive rod 21 is axially displaced a variable distance d from the base object distance reference plane APOD over the total distance range dOD of the camming surface 26 while the drive rod 31 is axially displaced a variable distance db from the base focal length object distance plane APFL over the total distance range dFL of the camming surface 36.
The distance da is the logarithmic value of the actual value to which the control member CMOD has set the object distance parameter of the lens while the distance db is the logarithmic value of the actual value to which the control member CM FL has set the focal length control parameter of the lens. The distances da and db can be determined by the following equations:
where x is any convenient base for the logarithm and where K is a constant. While the actual control parameter values may be used in the calculations, dividing the actual control parameter value by the smallest control parameter value in its operation range facilitates such calculations by allowing the camming surfaces 26 and 36 to
start at "0" for graphing purposes. The shape of the camming surface 26 corresponds to the focal length curve in Fig. 3 while the shape of camming surface 36 corresponds to the object distance curve. The shape of the camming surfaces 26 and 36 are also adjusted for any axial movement of the control members CM
OD and CM
FL during adjustment.
As seen in Fig. 2, the control circuit for the interlock mechanism 10 interfaces with the already existing circuitry in the motor drive unit MDU. The conventional motor drive circuitry is seen in the upper portion of the schematic with a battery BATC, speed switch SWSP, a pair of zoom switches SWZO and SWZI controlled by actuator 45 (Fig. 1), and a reversible drive motor MFL to selectively rotate control member CMFL. This circuit is modified by connecting the switches SWZOand SWZI to motor MFL through the common contact and the contact shown open in Fig. 2 of selector switches SWI3 and SWI2 respectively in gang switch SWI. Thus, when switches SWI3 and SWI2 in Fig. 2 are transferred, the switches SWZO and SWZI operate motor MFL in conventional manner.
The ratio control unit 14 is powered by a battery BATI through switch SWI1 to produce a regulated B+ output. The fixed resistance of potentiometer POD in sending unit 11 is connected to the B+ output through resistance R2 and to ground through resistance R3. The fixed resistance of potentiometer PFL in sending unit 12 is connected to the B+ output through potentiometerPA1 of ganged potentiometer assembly PA and to ground through potentiometer PA2 of assembly PA where control knob 15 operates potentiometers PA1 and PA2 so that their effective resistances at any setting sum to the maximum resistance of each potentiometer. The voltage output OOD at the movable contact of
potentiometer POD is connected to opposite sign inputs of a pair of comparators CPI and CPO while the voltage output OFL at the movable contact of potentiometer PFL is connected to the other opposite sign inputs to the comparators. Cross biasing is provided with resistor R4. The output of comparator CPO drives the coil of relay RY0 while the output of comparator CPI drives the coil of relay RY1. The normally open contacts of relay RY0 drive the motor MFL in a first direction through switch SWI3 while the normally open contacts of relay RYI drive the motor MFL in the opposite direction through switch SWI2
The ganged potentiometer assembly PA controls the ratio which is to be maintained between the value of the object distance parameter versus the value of the focal length parameter. The comparators CPI and CPO drive the motor MFL to shift the value of the focal length parameter until the voltage output from the movable contact of potentiometer PFL equals the voltage output from the movable contact of potentiometer POD In effect, this is maintaining the apparent difference in the logarithmic equivalent of the object distance value and the logarithmic equivalent of the focal length value at zero as seen by the comparators CPI and CPO. In effect, the ganged potentiometer assembly PA is used to raise or lower the apparent focal length voltage output by a constant amount at each setting of the ganged potentiometer assembly PA.
Because there is a relationship between the resistive values of the potentiometers POD, PFL, PA1 and PA2; and the resistors R2 and R3, choosing the resistive values of the fixed resistances of potentiometers POD and PFL as equal simplifies the determination of the remaining resistive values. The relationship is further simplified when the resistive values of resis
tors R2 and R3 are each selected as equal to the resistive value of the fixed resistance of potentiometer PO D or PFL, and this is the case in this application. For illustration purposes, say the resistive value of the fixed resistances of potentiometers POD and PFL as well as resistors R2 and R3 is selected as "R".
It will be further noted that the fixed resistances of the potentiometers PA1 and PA2 are selected as equal to each other to give proper voltage output curve shift. Under these conditions, it will be seen that, if full range of operation of the controls is desired, then the resistive value of each of potentiometers PA1 and PA2 is limited to a range of "R" to "2R". In one limiting case, that illustrated in the drawings, the resistive value of each potentiometer PA1 and PA2 is selected as "2R" and one end of the fixed resistance in each is left open or unconnected. In the other limiting case (not shown in the drawings), the resistive value of each potentiometer PA1 and PA2 would be "R" and those ends of the fixed resistances shown unconnected in the drawings would be shorted to each other. Because selecting the value for potentiometers PA1 and PA2 at "R" results in maximum circuit current drain while selecting the value at "2R" resuits in minimum circuit current drain, the value selected in the illustrated circuit is "2R". In the case where the resistive value of potentiometers PA1 and PA2 is selected somewhere between the limiting values of "R" and "2R", then some calculated resistance would be placed between the unconnected ends of the fixed resistances of the potentiometers PA1 and
PA2.
As seen in Fig. 3, the output OOD (Fig. 2) of the object distance sending unit 11 is. the voltage equivalent of the logarithmic value of the value to
which the control member CMOD has set the object distance parameter while the output OFL (Fig. 2) of the focal length sending unit 12 is the voltage equivalent of the logarithmic value of the value to which the control member CMFL has set the focal length parameter plus the shifted value of the potentiometer assembly PA. This allows the output OFL to be appropriately adjusted so that the focal length voltage curve can be matched to any point on the object distance voltage curve.
A better understanding of the significance of the shifted value of the potentiometer assembly PA can be had by considering a series of postiions to which it is set. Suppose the object distance control member CMOD is set as seen in Fig. 1 so that the cam follower roller 24 has been shifted the distance da from the base reference plane APOD to generate voltage output Va in Fig. 3. Now, if the potentiometer assembly Pa is set at the desired value, the motor drive unit MDU will shift the focal length control member CMp, until the cam follower roller 34 is shifted the distance db from the base reference plane APFL as seen in Fig. 1 to generate voltage output Vb in Fig. 3. It will be noted that at this postition, the voltage Va is equal to voltage Vb as indicated by the phantom line in Fig.
3 labelled Po . This takes into account the situation in which the potentiometer assembly PA is set at the desired ratio.
If one wants the ratio to be such that, the voltage output Vb ' on the focal length voltage curve is to correspond to the voltage VA on the object distance voltage curve, the potentiometer assembly PA is shifted using the knob 15 until the voltage value VS is added to the voltage value Vb ' so that the apparent voltage in the output OFL of the sending unit 12 would be the
value Vb illustrated by the shifted dashed line curve in Fig. 3. The value VS added will be different depending on which points of correspondence on the focal length voltage curve one wants to correspond to the voltage Va on the object distance voltage curve.
Suppose the potentiometer assembly PA is set so that the focal length voltage curve is defined by the solid line curve in Fig. 2. Now, if the potentiometer assembly PA remains in the same position, and the object distance control member CMOD is rotated to a new position so that its associated sending unit 11 generates a voltage output Va s as seen in Fig . 3 , then the ratio base control unit 14 will cause the motor drive unit MDU to rotate the focal length control member CMFL so that the voltage output from its associated sending unit 12 will be changed to voltage Vbs where the voltages Vas and Vbs are again equal. This is illustrated by the phantom line seen in Fig. 3 which is labelled Ps.
From the foregoing, it will be seen that the apparent voltage in the output OFL, is the sum of the voltage attributable directly to the potentiometer PFL plus the voltage attributable to the potentiometer assembly PA. This means that the equation voltage PFL + voltage PA = voltage POD is satisfied. It follows that, based on the above set forth relationships, this equation can be rewritten as
which can be rewritten as
It will be noted that, as long as the potentiometer assembly P
A remains at any one setting, the value K
V also remains constant. Since K, x, smallest object distance, smallest focal length, are all constants, it follows that log [actual object distance/actual focal length] also remains constant as long as the setting of the potentiometer assembly P
A remains constant which implies that
c
Thus, once the potentiometer assembly PA is set, the ratio of object distance to focal length is maintained constant which is the characteristic desired. It will further be understood that changing the potentiometer assembly PA to another constant will still cause the ratio to remain constant but to a constant of a different value. This is also a desired characteristic.
It will be further appreciated that the lens LPZ has two degrees of freedom. The interlock mechanism 10 allows the two control parameters to be interconnected so that the number of degrees of freedom are reduced to one. This greatly simplifies the operation of the lens LPZ so as to keep the image size constant while the distance between the subject being photographed and the lens changes. Recently, cameras with automatic focusing have been developed. The mechanism 10 can be easily added to these automatic focusing cameras when they are equipped with a zoom lens so that, with the automatic focusing feature, the number of degrees of freedom of the lens system is reduced to zero. Because the power of the electric motor Mp, required to operate the control member CMFL is relatively low, the control member CMFL can be manually shifted momentarily by overpowering the motor MFL if it is desirable to momentarily change the focal length
parameter. When the control member CMFL is released, the motor MFL will power the control member CMFL back to its prescribed ratio position for continued operation.
Vb. Second Embodiment
Fig. 4 illustrates a second embodiment that mechanically maintains the desired ratio between focal length and object distance and is applied to a zoom lens LZ for a still camera BC. Lens LZ has an object distance control member CMOD and focal length control member CMp, mounted on lens body BL about lens axisAL.
Interlock mechanism 110 connects members CMOD and CMFL to maintain the desired image size. Mechanism 110 has an object distance control cam 111 carried by the control member CMOD and a focal length control cam 112 carried by control member CMFL . Cam
111 has a camming slot 121 whose logarithmic relationship with control member CMOD corresponds to that of camming surface 26 for the first embodiment. Cam
112 has a camming slot 125 whose logarithmic relationship with control member CMFL corresponds to that of camming surface 36 for the first embodiment. An interconnect unit 14 selectively connects the cams 111 and 112 to maintain desired ratios between the control members CMOD and CMFL. Housing 130 of unit 114 is mounted on lens body BL and slidably mounts cam follower members 131 and 132 for movement along a path RL parallel to lens axis AL. The cam followers 131 and 132 can slide in housing 130 independently of each other but can also be locked together using the teeth 144 and 145 on members 131 and 132 and clamp 148 so that the members 131 and 132 move as a unit. It will be noted that the members 131 and 132 can be locked together at any position relative to each other over their respective ranges of movement. The member 131 is drivingly connected to the object distance camming slot 121 through follower 136 while member 132 is drivingly connected
to the focal length camming slot 125 through follower 140. Thus, rotation of control member CMOD axially displaces cam follower member 131 and axial movement of member 131 rotates member CMOD through slot 121 while rotation of control member CMFL axially displaces cam follower member 132 and axial movement of member 132 rotates member CMFL through slot 125. When the cam follower members 131 and 132 are locked togeτ ther, it will be seen that rotation of one of the control members CMOD or CMFL causes an appropriate rotation of the other control member CM OD or CMFL to maintain a constant ratio between object distance and focal length.
Because the slots 121 and 126 are logarithmic, it will be seen that the displacement da of the cam follower member 131 from the base object distance plane APOD over its range d1, corresponds to that of the first embodiment and that the displacement db of the cam follower member 132 from the base focal length plane APFL over its range d2 corresponds to that of the first embodiment. It will be noted that the planes APOD and APFL are spaced apart a fixed distance d3. When the cam follower members 131 and 132 are selectively locked together to selectively fix the distance d between the followers 136 and 140 at a constant value, it will be seen that d3 - da + db = constant (dc).
Because of the logarithmic nature of da and db, this equation can be rewritten as
Since K, x, smallest object distance, smallest focal length, and d, are all constants, it follows that log
x
[actual object distance/actual focal length] is also constant which implies that
Thus, once the members 131 and 132 are locked together, the ratio of object distance to focal length is maintained constant so that rotation of the control members CM
OD or CM
FL also drives the other control member CM
OD or CM
FL to keep the ima.ge size constant. Any desired ratio can be maintained between object distance and focal length simply by initially setting the control members at the desired ratio before the cam follower members 131 and 132 are locked together.
Vc. Other Embodiments
While the first two embodiments of the invention are incorporated in control systems having only two degrees of freedom, the invention can be applied to any control system having any number of degrees of freedom. In any such system, each of those control parameters which are sought to be controlled would have sending means for generating an output which is logarithmic of the particular values over the operating parameter range and interlock means for selectively controlling the various control parameters so that selected fixed differences can be maintained between the logarithmic outputs of the sending means.
Figs. 5 and 6 illustrate a control system which has three independent control parameters and thus three degrees of freedom. The control system has its three control parameters controlled by three different control members CM1-CM3 where each can be manually adjusted with control knobs CK1-CK3 and/or electrically adjusted with motors M1-M3. The control members CM1-CM3 are illustrated as axially movable along respective paths P1-P3.
The interlock mechanism 210 has a separate sending unit 211 connected to each control member CM1-CM3 respectively referenced 2111-2113. The sending units may be mechanical or electromechanical but are illustrated as electrical by way of example. Sending units 2111-2113 generate respective outputs O1-O3 that correspond to the logarithm of the operating parameter value associated with the particular sending unit as set by the control members CM1-CM3.
As seen in Fig. 6, the output 0, is connected to ratio base control units 214. and 214B; to comparators 215. and 215B; and to selector switch 218A, 218B and 218C. Output O2 is connected to ratio base control
units 214A and 215C; to comparators 215. and 215C; and to selector switches 218A, 218B and 218C. Output O3 is connected to ratio base control units 214B and 2145C; to comparators 215B and 215C; and to selector switches as 218A, 218B and 218C. The ratio base control units 214 are activated by actuating switches SW which may be ganged to operate together. Closure of switches SW causes the ratio base control unit 214. to generate output OA to the comparator 215A representative of the difference between outputs O1 and O 2 at the time of closure of switch SW, causes the ratio base control unit 214B to generate output OB to the comparator 215B representative of the difference between outputs O1 and O3 at the time of closure of switch SW, and causes the ratio base control unit 214C to generate output OC to the comparator 215C representative of the difference between outputs O2 and O3 at the time of closure of switch SW.
Output 0. biases the comparator 215. to generate a compared control output signal S. to selector switch 218. until the difference between outputs O1 and O2 matches that indicated by the ratio base control unit 214A. Output OB biases the comparator 215B to generate a compared control output signal SB to selector switch 218B until the difference between outputs O1 and 0, matches that indicated by the ratio base control unit 214B. Output OC biases the comparator 215C, to generate a compared control output signal SC to selector switch 218C until the difference between outputs O2 and O3 matches that indicated by the ratio base contiol unit 214C. Switch 218. selectively controls motors M1 and M2 , switch 218B selectively controls motors M1 and M3 and switch 218C controls motors M2 and M3. The motors M1-M3 can be manually individually controlled through switches OS1-OS3.
The operator initially sets the value of the operating parameters to the desired ratios and closes the activation switches SW to energize ratio base control units 214A-214C and activate the interlock mechanism 210. Now if the setting on one αf the control members is changed, the mechanism 210 will appropriately move the other control members to maintain the set ratio between the operating parameters. For example, assume control member CM1 is moved to change its operating parameter and change output O1. The comparator 215. senses a differential between outputs 0, and O2 different from that set in ratio base control unit 214. and operates motor M2 through switch 218. to shift member CM2 until the differential sensed by comparator 215. again matches that initially set in ratio base control unit 214A. At the same time, the comparator 215B senses a differential between outputs O1 and O3 different from that set in ratio base control unit 214B and operates motor M3 through switch 218B to shift member CM3 until the differential sensed by comparator 215B again matches that initially set in ratio base control unit 214B. Thus, it will be seen that the control members CM2 and CM3 have been moved until the operating values controlled thereby have the same ratio as they had initially. It will also be noted that the first changed output O1-O3 appropriately enables only those selector switches 218A-218C to cause the other motors M1-M3 not associated with the first changed output O1-O3 to be controlled from the comparators 215A-215C. The mechanism 210 may be used to interlock any two of the control members as well as all three as explained above.
It will be noted that the interlocking process need not be a one step procedure, but may be performed in separate steps. For example, a control system with
eight independent operating parameters V1-V8 would have eight degrees of freedom. One may interlock parameters V2, V5, and V7; interlock parameters V1, V3, and V8 ; and interlock parameters V4 and V6 in accordance with the invention. The system would then have three degrees of freedom with the ratios V2/V5, V2/V7 or V5/V7 being constant, the ratios V1/V3, V1/V6 or V3/V6 being constant and the ratio V4/V6 being constant. The ratio of the parameters in any one interlocked group to the ratio of the parameters in any other interlocked group may be independently changed as desired. At some later time, any of the three interlocked groups of parameters may be interlocked with any other interlocked group of parameters in accordance with the invention to reduce the system degrees of freedom to two, or all of the interlocked groups of parameters may be interlocked in accordance with the invention to reduce the system degrees of freedom to one.