CN110635686A - Control and fault detection method of boost circuit based on switching system - Google Patents

Control and fault detection method of boost circuit based on switching system Download PDF

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CN110635686A
CN110635686A CN201911110123.XA CN201911110123A CN110635686A CN 110635686 A CN110635686 A CN 110635686A CN 201911110123 A CN201911110123 A CN 201911110123A CN 110635686 A CN110635686 A CN 110635686A
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circuit
value
fault
observer
residual
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CN110635686B (en
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苏庆宇
历程龙
李健
仲广鑫
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Northeast Electric Power University
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Northeast Dianli University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/28—Testing of electronic circuits, e.g. by signal tracer
    • G01R31/2832—Specific tests of electronic circuits not provided for elsewhere
    • G01R31/2836—Fault-finding or characterising
    • G01R31/2843—In-circuit-testing
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00—Conversion of dc power input into dc power output
    • H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only with automatic control of output voltage or current, e.g. switching regulators

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Abstract

The invention relates to a control and fault detection method of a boost circuit based on a switching system, which is characterized by comprising the following steps: establishing a mathematical model of a booster circuit of a switching system, establishing an expression of a Luenberger observer, comparing a residual value with a threshold value, and realizing fault detection, closed-loop control of the booster circuit and a controller, and the like: software simulation and physical verification are carried out by taking the booster circuit as a model, the control circuit outputs stable voltage by taking a switching rule of the minimum Lyapunov function derivative, fault detection is carried out on the circuit in real time by comparing the constructed residual value with a threshold value through a Luenberger observer, and the fault can be immediately alarmed when the fault is found.

Description

Control and fault detection method of boost circuit based on switching system
Technical Field
The invention relates to the field of power electronic control, in particular to a control and fault detection method of a boost circuit based on a switching system.
Background
DC-DC boost converters are widely used in various fields, and are the most basic part of modern high-frequency switching power supplies. The working principle of the booster circuit is that the power semiconductor device is used as a switch, and the controller generates signals according to a switching rule to control the on and off of the power semiconductor device, so that the circuit outputs voltages which have different properties and are higher than the input end. The control method of the prior patent is to change the topological structure on the circuit, such as: chinese patent application No. 201310119679.1, entitled: the DC-DC booster circuit is a time-varying nonlinear discrete system, so that the effect of changing the circuit topology structure on the control circuit is small, and the defects of poor stability, poor adaptability, low accuracy and the like exist; the circuit sensor is a main device for information acquisition, and when the sensor fails, the circuit topology changes, voltage or current stress of other components in the circuit is increased, and damage to the components is caused to be dangerous, so that the research on the sensor fault detection is particularly important. There are patents that perform fault detection on a circuit structure by using a topological circuit structure, such as: chinese patent application No.: 201410229543.0, the name is: the active power factor correction circuit with the fault detection function mainly detects faults after the circuit structure topology is completed, and has the defects of weak anti-interference capability, poor adaptability and the like due to incomplete fault detection logic.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a control and fault detection method of a boost circuit based on a switching system, which has the advantages of strong applicability, high accuracy, strong anti-interference capability and good stability.
The technical scheme adopted for realizing the aim of the invention is that the control and fault detection method of the boost circuit based on the switching system is characterized in that the implementation of a control algorithm is carried out according to a numerical value fed back by a circuit, a PWM signal is generated in real time according to a switching rule of taking a minimum Lyapunov function derivative, and the boost circuit is controlled to output stable voltage; the implementation of a fault detection algorithm is carried out according to a numerical value fed back by a circuit, the fault detection algorithm is a method for comparing a residual value of a Luenberger observer structure with a threshold value, a sensor of the circuit is detected in real time, and an alarm can be given immediately when a fault is found, and the fault detection algorithm comprises the following contents:
1) establishing a mathematical model of a booster circuit of a switching system, wherein the expression is as follows:
Figure BDA0002272338450000011
y(t)＝Cx(t) (1)
where x (t) is a state vector,
Figure BDA0002272338450000012
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t)B and C are a set of state space models,
wherein:
Figure BDA0002272338450000021
when the system is in the mode 1, closing the mos tube S of the booster circuit; when the system is in a mode 2, conducting a mos tube S of the booster circuit;
2) switching rule of the boost circuit based on the switching system:
to establish the Lyapunov function, let z be x-x*Then consider the switching system:
Figure BDA0002272338450000022
wherein: a. theσ(t)And B is a set of state space models, u (t) is an input vector,
Figure BDA0002272338450000023
and
Figure BDA0002272338450000024
is a circuit theoretical value;
selecting a Lyapunov function: v (x) zTPz, wherein:
Figure BDA0002272338450000025
wherein, P11，P22Is a non-negative constant, since the switch S e 0,1 represents two modes of operation, there are two derivatives of the function
Figure BDA0002272338450000026
And
Figure BDA0002272338450000027
taking the minimum Lyapunov function derivative rule as follows:
when in use
Figure BDA0002272338450000028
The system is in a mode 1, and a mos tube S of the booster circuit is closed;
when in use
Figure BDA0002272338450000029
The system is in a mode 2, and a mos tube S of the booster circuit is conducted;
to ensure the voltage booster circuit can output stable voltage, letFor the Lyapunov function V (x), the derivative of V (x) is less than 0, so the smaller the derivative, the greater the decay rate of V (x), the faster the settling rate,
taking the switching rule of the minimum Lyapunov function derivative:
wherein the content of the first and second substances,
Figure BDA00022723384500000212
is V in the above two casesσ(x) Derivative of, argσmin is the minimum value symbol;
3) establishing an expression of a Luenberger observer:
when a sensor in the system has a fault, the output variable y (t) changes, and the expression of a fault model is as follows:
where x (t) is a state vector,
Figure BDA0002272338450000031
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t), B and C are a set of state space models, Q ═ I is a matrix of appropriate dimensions, f (t) is the fault signal caused when the sensor fails,
the space state expression of the Luenberger observer is designed as follows:
Figure BDA0002272338450000032
wherein:
Aσ(t), B and C are a set of state space models, u (t) is an input vector,
Figure BDA0002272338450000033
is the observer state, y (t) is the actual output value of the circuit,
Figure BDA0002272338450000034
is the observer output, H is the observer gain matrix, r (t) is the observer residual, takes
Figure BDA0002272338450000035
Augmented state vector
Figure BDA0002272338450000036
The space state expression of the fault model expression and the extended system of the Luenberger observer is as follows:
Figure BDA0002272338450000037
wherein:
Figure BDA0002272338450000038
Aσ(t)c is a set of state space models, H is an observer gain matrix;
4) and comparing the residual value with a threshold value to realize fault detection:
determining the residual value of the voltage and the current:
wherein iL(t) is the current value fed back by the circuit in real time, VL(t) is the voltage value fed back by the circuit in real time,
Figure BDA00022723384500000310
the current observed value of the observer is,
Figure BDA00022723384500000311
is the voltage observed value of the observer, defines the residual value
Figure BDA00022723384500000312
When the sensor is in failure, the residual error value is kept to be a small value, and when the sensor is in failure, the residual error is rapidly increased, and a residual error evaluation function is adopted:
Figure BDA00022723384500000313
wherein: 0 is the initial time, M is the detection duration, r1(t) is the residual value;
the threshold can be determined using a residual evaluation function:
Figure BDA0002272338450000041
using residual value r1(t) and threshold JthComparing and judging whether the sensor has a fault:
Figure BDA0002272338450000042
5) the booster circuit and the controller implement closed-loop control:
the boost circuit can be stabilized at the fastest speed by taking the switching rule of the minimum Lyapunov function derivative, the boost circuit is connected with the controller to form a closed-loop control system, the controller samples the output voltage and the current value of the boost circuit, a switching signal is generated in real time according to the feedback value and the control rule of the minimum Lyapunov function derivative, and the controller outputs a PWM signal which changes in real time to control the boost circuit, so that the voltage output of the boost circuit is stable; the residual value of the Luenberger observer is compared with a threshold value to detect the circuit sensor in real time, and the circuit sensor can give an alarm immediately when detecting a fault.
The invention relates to a control and fault detection method of a boost circuit based on a switching system, which is a method for comparing a derivative minimum value in two groups of Lyapunov functions and a Luenberger observer construction residual value with a threshold value, and performs software simulation and physical verification by taking the boost circuit as a model; the booster circuit and the controller form a closed-loop control system, the controller implements a control algorithm according to output voltage and current fed back by the circuit, the control algorithm generates a switching signal in real time, and the switching signal acts on a switching tube of the booster circuit to enable the booster circuit to output stable voltage; the controller implements a fault detection algorithm according to the output voltage and current fed back by the circuit, the Luenberger observer and the circuit feedback value form a residual value, the residual value is compared with a threshold value, the alarm is given when the residual value is larger than the threshold value, and the alarm is not given when the residual value is smaller than the threshold value.
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The invention is further illustrated by the following figures and examples.
FIG. 1 is a schematic diagram illustrating a method for controlling a boost circuit based on a switching system and detecting a fault according to the present invention;
FIG. 2 is a graph of the output voltage and current response of a software simulation under the control rules employed by the present invention;
FIG. 3 is a graph of the output voltage and current response of a real world circuit under the control rules employed by the present invention;
FIG. 4 is a flow chart of a switching signal generated by a control method of a boost circuit based on a switching system according to the present invention;
FIG. 5 is a response diagram of residual values and alarm values of software simulation during an inductive fault under the fault detection algorithm adopted by the present invention;
FIG. 6 is a response diagram of residual values and alarm values of the physical circuit when the inductor fails under the fault detection algorithm adopted by the present invention;
FIG. 7 is a response graph of residual values and alarm values of software simulation during a capacitive fault under a fault detection algorithm employed by the present invention;
FIG. 8 is a response diagram of residual values and alarm values of the physical circuit when the capacitor fails under the fault detection algorithm employed in the present invention;
fig. 9 is a flowchart of a method for detecting a fault in a boost circuit based on a switching system according to the present invention.
Detailed Description
The invention is further illustrated by the following figures and examples.
Referring to fig. 1, in the control and fault detection method of the Boost circuit based on the switching system, the Boost circuit structure is built on a Typhoon-HIL power electronic operation platform; the digital controller DSP28335 is used as a control core, the feedback output of the circuit is connected to an ADC pin of the digital controller DSP28335, a control algorithm is implemented according to a current and voltage value fed back by the circuit, and a switching signal is generated in real time according to a minimum Lyapunov function derivative rule; and implementing a fault detection algorithm according to a current and voltage value fed back by the circuit, detecting a sensor of the circuit in real time according to a method for comparing a structural residual value of a Luenberger observer with a threshold value, and immediately alarming when a fault is found.
1) Establishing a mathematical model of a booster circuit of a switching system, wherein the expression is as follows:
Figure BDA0002272338450000051
y(t)＝Cx(t) (1)
where x (t) is a state vector,
Figure BDA0002272338450000052
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t)B and C are a set of state space models,
wherein:
Figure BDA0002272338450000053
when the system is in the mode 1, closing the mos tube S of the booster circuit; when the system is in a mode 2, conducting a mos tube S of the booster circuit;
2) switching rule of the boost circuit based on the switching system:
to establish the Lyapunov function, let z be x-x*Then consider the switching system:
Figure BDA0002272338450000054
wherein: a. theσ(t)And B is a set of state space models, u (t) is an input vector,
Figure BDA0002272338450000055
and
Figure BDA0002272338450000056
is a circuit theoretical value;
selecting a Lyapunov function: v (x) zTPz, wherein:
Figure BDA0002272338450000057
wherein, P11，P22Is a non-negative constant, since the switch S e 0,1 represents two modes of operation,there are therefore two derivatives of the functionAnd
Figure BDA0002272338450000059
taking the minimum Lyapunov function derivative rule as follows:
when in use
Figure BDA0002272338450000061
The system is in a mode 1, and a mos tube S of the booster circuit is closed;
when in use
Figure BDA0002272338450000062
The system is in a mode 2, and a mos tube S of the booster circuit is conducted;
to ensure the voltage booster circuit can output stable voltage, let
Figure BDA0002272338450000063
For the Lyapunov function V (x), the derivative of V (x) is less than 0, so the smaller the derivative, the greater the decay rate of V (x), the faster the settling rate,
taking the switching rule of the minimum Lyapunov function derivative:
wherein the content of the first and second substances,
Figure BDA0002272338450000065
is V in the above two casesσ(x) Derivative of, argσmin is the minimum value symbol;
3) establishing a Luenberger observer expression:
when a sensor in the system has a fault, the output variable y (t) changes, and the expression of a fault model is as follows:
where x (t) is a state vector,
Figure BDA0002272338450000067
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t), B and C are sets of state space models, Q ═ I is a matrix of appropriate dimensions, and f (t) is the fault signal caused when a sensor fails.
The space state expression of the Luenberger observer is designed as follows:
Figure BDA0002272338450000068
wherein:
Aσ(t), B and C are a set of state space models, u (t) is an input vector,
Figure BDA0002272338450000069
is the observer state, y (t) is the actual output value of the circuit,
Figure BDA00022723384500000610
is the observer output, H is the observer gain matrix, r (t) is the observer residual value. Get
Figure BDA00022723384500000611
Augmented state vector
Figure BDA00022723384500000612
The space state expression of the fault model expression and the extended system of the Luenberger observer is as follows:
Figure BDA00022723384500000613
wherein:
Figure BDA0002272338450000071
Aσ(t)and C is a state spaceThe set of models, H, is the observer gain matrix.
4) And comparing the residual value with a threshold value to realize fault detection:
determining the residual value of the voltage and the current:
Figure BDA0002272338450000072
wherein iL(t) is the current value fed back by the circuit in real time, VL(t) is the voltage value fed back by the circuit in real time,
Figure BDA0002272338450000073
is the current observed value of the observer,is the voltage observed value of the observer, defines the residual value
Figure BDA0002272338450000075
In the absence of a fault, the residual value remains a small value. When a sensor fails, the residual error increases rapidly. In order to better judge the occurrence of the fault, a residual error evaluation function is adopted:
Figure BDA0002272338450000076
wherein: 0 is the initial time, M is the detection duration, r1(t) is the residual value.
The threshold can be determined using a residual evaluation function:
Figure BDA0002272338450000077
using residual value r1(t) and threshold JthComparing and judging whether the sensor has a fault:
5) the booster circuit and the controller implement closed-loop control:
the boost circuit can be stabilized at the fastest speed by taking the switching rule of the minimum Lyapunov function derivative, the boost circuit is connected with the controller to form a closed-loop control system, the controller samples the output voltage and the current value of the boost circuit, switching signals are generated in real time according to the feedback value and the control rule of the minimum Lyapunov function derivative, and the controller outputs PWM signals which change in real time to control the boost circuit, so that the voltage output of the boost circuit is stable. The method for comparing the residual value and the threshold value of the Luenberger observer is used for detecting the circuit sensor in real time, and the circuit sensor can give an alarm immediately when detecting a fault.
Specific implementation and results:
1. software simulation results
The circuit is simulated by using MATLAB, the minimum Lyapunov function derivative switching rule is called in the form of an S function, the circuit can stably output voltage, and FIG. 2 shows the simulation result of the output voltage and current; calling a fault detection algorithm in the form of an S function to detect the fault of the circuit in real time, wherein FIG. 5 is a simulation result of residual values and alarm values when the circuit has a fault in the inductor within 0.2 second; FIG. 7 is a simulation result of residual value versus alarm value when the circuit fails at 0.2 seconds of capacitance.
2. Real object circuit result
The logic of a switching signal generated by a designed switching rule and the logic of a fault detection algorithm are written into a controller, a digital controller DSP28335 is selected as a core controller, a circuit structure is realized by relying on a Typhoon-hil power electronic operation platform, and a closed-loop control system is formed:
the first step is as follows: initializing a digital controller DSP28335 system, configuring a register and setting pins;
the second step is that: the pins ADCIN1 and ADCIN2 of the digital controller DSP28335 acquire the inductive current and the inductive voltage of the pins DA1 and DA2 of Typhoon-hil, convert the analog quantity acquired for many times into digital quantity and take the average value, and adopt the minimum method of taking the minimum Lyapunov function derivative based on a switching system, if
Figure BDA0002272338450000082
The DSP outputs a low level if
Figure BDA0002272338450000083
The DSP outputs high level, so that PWM signals with real-time changing duty ratio are output, and the PWM signals control the booster circuit to output stable voltage. FIG. 3 shows the output voltage and current values of the real object circuit under the control algorithm.
The third step: the pins ADCIN1 and ADCIN2 of a digital controller DSP28335 acquire inductive current and inductive voltage of pins DA1 and DA2 of Typhoon-hil, analog quantity acquired for multiple times is converted into digital quantity and averaged, an observer value and a feedback value form a residual value, a Luenberger observer is adopted to construct a method for comparing the residual value with a threshold value, if the residual value r1 is greater than the threshold value, and if the r1 is less than the threshold value, no alarm is given, the circuit is detected in real time, a graph 6 shows the result of the residual value and the alarm value when the inductor of a real object circuit fails within 20 seconds, and a graph 8 shows the result of the residual value and the alarm value when the capacitor of the real object circuit fails within 20 seconds.
Compared with the prior art, the control and fault detection method of the boost circuit based on the switching system has the technical characteristics and effects that: a mathematical model of a boost circuit based switching system; the designed switching rule ensures that the system state is stable and fast; the designed fault detection algorithm ensures that the accuracy of the system for detecting the fault is high; the system has good stability and accuracy.
The booster circuit comprises a resistor R, an inductor L, a diode d, a mos tube S, a capacitor C and a load resistor RloadAre connected. The booster circuit is connected with the digital controller. The parameters of the selected devices are shown in table 1:
table 1:
Figure BDA0002272338450000091
the embodiments of the present invention are not exhaustive, and those skilled in the art will still fall within the scope of the present invention as claimed without simple duplication and modification by the inventive efforts.

Claims (1)

1. A control and fault detection method of a boost circuit based on a switching system is characterized in that the method implements a control algorithm according to a numerical value fed back by a circuit, generates a PWM signal in real time according to a switching rule taking a minimum Lyapunov function derivative, and controls the boost circuit to output stable voltage; the implementation of a fault detection algorithm is carried out according to a numerical value fed back by a circuit, the fault detection algorithm is a method for comparing a residual value of a Luenberger observer structure with a threshold value, a sensor of the circuit is detected in real time, and an alarm can be given immediately when a fault is found, and the fault detection algorithm comprises the following contents:
1) establishing a mathematical model of a booster circuit of a switching system, wherein the expression is as follows:
Figure FDA0002272338440000011
y(t)＝Cx(t) (1)
where x (t) is a state vector,
Figure FDA0002272338440000012
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t)B and C are a set of state space models,
wherein:
Figure FDA0002272338440000013
when the system is in the mode 1, closing the mos tube S of the booster circuit; when the system is in a mode 2, conducting a mos tube S of the booster circuit;
2) switching rule of the boost circuit based on the switching system:
to establish the Lyapunov function, let z be x-x*Then examineConsider switching system:
wherein: a. theσ(t)And B is a set of state space models, u (t) is an input vector,
Figure FDA0002272338440000015
and
Figure FDA0002272338440000016
is a circuit theoretical value;
selecting a Lyapunov function: v (x) zTPz, wherein:
wherein, P11，P22Is a non-negative constant, since the switch S e 0,1 represents two modes of operation, there are two derivatives of the function
Figure FDA0002272338440000018
And
Figure FDA0002272338440000019
taking the minimum Lyapunov function derivative rule as follows:
when in use
Figure FDA0002272338440000021
The system is in a mode 1, and a mos tube S of the booster circuit is closed;
when in use
Figure FDA0002272338440000022
The system is in a mode 2, and a mos tube S of the booster circuit is conducted;
to ensure the voltage booster circuit can output stable voltage, let
Figure FDA0002272338440000023
For the Lyapunov function V (x), the derivative of V (x) is less than 0, so the smaller the derivative, the greater the decay rate of V (x), the faster the settling rate,
taking the switching rule of the minimum Lyapunov function derivative:
Figure FDA0002272338440000024
wherein the content of the first and second substances,
Figure FDA0002272338440000025
is V in the above two casesσ(x) Derivative of, argσmin is the minimum value symbol;
3) establishing an expression of a Luenberger observer:
when a sensor in the system has a fault, the output variable y (t) changes, and the expression of a fault model is as follows:
Figure FDA0002272338440000026
where x (t) is a state vector,
Figure FDA0002272338440000027
is x (t) is the derivative of the state vector, y (t) is the output vector, u (t) is the input vector, σ (t) is the switch signal, Aσ(t), B and C are a set of state space models, Q ═ I is a matrix of appropriate dimensions, f (t) is the fault signal caused when the sensor fails,
the space state expression of the Luenberger observer is designed as follows:
Figure FDA0002272338440000028
wherein:
Aσ(t), B and C are a set of state space models, u (t) is an input vector,
Figure FDA0002272338440000029
is the observer state, y (t) is the actual output value of the circuit,
Figure FDA00022723384400000210
is the observer output, H is the observer gain matrix, r (t) is the observer residual, takes
Figure FDA00022723384400000211
Augmented state vector
Figure FDA00022723384400000212
The space state expression of the fault model expression and the extended system of the Luenberger observer is as follows:
Figure FDA00022723384400000213
wherein:
Figure FDA00022723384400000214
Aσ(t)c is a set of state space models, H is an observer gain matrix;
4) and comparing the residual value with a threshold value to realize fault detection:
determining the residual value of the voltage and the current:
Figure FDA0002272338440000031
wherein iL(t) is the current value fed back by the circuit in real time, VL(t) is the voltage value fed back by the circuit in real time,
Figure FDA0002272338440000032
the current observed value of the observer is,
Figure FDA0002272338440000033
is the voltage observed value of the observer, defines the residual valueWhen the sensor is in failure, the residual error value is kept to be a small value, and when the sensor is in failure, the residual error is rapidly increased, and a residual error evaluation function is adopted:
Figure FDA0002272338440000035
wherein: 0 is the initial time, M is the detection duration, r1(t) is the residual value;
the threshold can be determined using a residual evaluation function:
Figure FDA0002272338440000036
using residual value r1(t) and threshold JthComparing and judging whether the sensor has a fault:
Figure FDA0002272338440000037
5) the booster circuit and the controller implement closed-loop control:
the boost circuit can be stabilized at the fastest speed by taking the switching rule of the minimum Lyapunov function derivative, the boost circuit is connected with the controller to form a closed-loop control system, the controller samples the output voltage and the current value of the boost circuit, a switching signal is generated in real time according to the feedback value and the control rule of the minimum Lyapunov function derivative, and the controller outputs a PWM signal which changes in real time to control the boost circuit, so that the voltage output of the boost circuit is stable; the residual value of the Luenberger observer is compared with a threshold value to detect the circuit sensor in real time, and the circuit sensor can give an alarm immediately when detecting a fault.
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CN115508665A (en) * 2022-09-23 2022-12-23 淮阴工学院 Fault detection method for RLC fractional linear circuit

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