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A Reliable Control Method for Nonlinear Switched Systems with Actuator Faults

A switching system and control method technology, applied in the field of reliable control of nonlinear switching systems, can solve problems affecting the stable operation of the system

Active Publication Date: 2020-10-27
XI AN JIAOTONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Since in the process of industrial control, actuators often have various failures, which affect the stable operation of the system, it is necessary to study the controller design problem of switching T-S fuzzy systems under the condition of actuator failures

Method used

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  • A Reliable Control Method for Nonlinear Switched Systems with Actuator Faults
  • A Reliable Control Method for Nonlinear Switched Systems with Actuator Faults
  • A Reliable Control Method for Nonlinear Switched Systems with Actuator Faults

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Experimental program
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specific Embodiment approach

[0104] Reliable Static Output Feedback Control (RSOFC) Algorithm:

[0105] S1: Set the dissipation performance index τ and the maximum allowable number of iterations Z>0.

[0106] S2: Find the matrix that meets the requirements and the scalar ε 0 Satisfy the following conditions, and set the number of iterations ρ=0;

[0107]

[0108] Θ tlij +Θ tlji <0,i≤j

[0109]

[0110] S3: Check whether ρ

[0111] S4: Solve the following optimization problem:

[0112] Minimize the matrix subject to satisfying S2 trace.

[0113] S5: P calculated from S4 t ,Q t ,N li , K lj ,ε into the sufficient conditions (4) and (5) in step 2, the sufficient conditions (4) and (5) hold and there is a small enough scalar σ>0 to satisfy the following inequality:

[0114]

[0115] Then the output controller parameter K lj and exit.

[0116] S6: If the inequality in S5 and the sufficient condition in S2 cannot be satisfied, set ρ=ρ+1, ε ρ+1 =ε ...

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Abstract

The invention discloses a reliable control method of a nonlinear switching system with an actuator fault, which comprises the following steps of: 1, giving a mathematical description of the nonlinearswitching system through a T-S fuzzy model, designing a reliable static output feedback controller according to a system switching rule and a fuzzy basis function, and assuming that parameters of thereliable static output feedback controller are known to obtain a mathematical expression of a closed-loop system; step 2, constructing a random Lyapunov function and giving a dissipative performance index, and establishing a sufficient condition for ensuring random stability and dissipative property of the closed-loop system; and 3, linearizing the sufficient condition in the step 2 by adopting aniterative algorithm and solving the parameters of the reliable static output feedback controller. By the adoption of the reliable control method of the nonlinear switching system with the actuator fault, the problem that performance of the system is poor or even unstable due to the actuator fault; when the actuator fails, the nonlinear switching system can still be effectively controlled, and thestatic output feedback controller depends on a measurement value of the system, so that a system state is not required to be measurable, and the practicability is improved.

Description

technical field [0001] The invention belongs to the technical field of automatic control and relates to a reliable control method of a nonlinear switching system with actuator failure. Background technique [0002] T-S fuzzy model can approximate continuous nonlinear system model with arbitrary precision, so T-S fuzzy model is widely used in nonlinear system modeling. In the actual operation process, nonlinear systems are often affected by external disturbances, structural mutations, parameter drift and other factors. In order to accurately describe the system model and achieve control purposes, the switched T-S fuzzy model is used to describe complex nonlinear systems. [0003] The switching T-S fuzzy system can be regarded as a sequential combination of multiple fuzzy subsystems in the time dimension. The running order and time of each subsystem are determined by random variables that conform to certain rules. Therefore, the switching T-S fuzzy model has a powerful modelin...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/0275G05B13/042
Inventor 张萌沈超管晓宏
Owner XI AN JIAOTONG UNIV