Nonlinear networked control system non-fragile H-infinity fault tolerance control method

Abstract

The invention discloses a nonlinear networked control system non-fragile H-infinity fault tolerance control method. Firstly a closed-loop nonlinear networked control system model is established for considering the situation of parameter perturbation, time delay and packet loss of the nonlinear networked control system and random fault of an actuator, and then a Lyapunov function including packet loss information is constructed. The sufficient conditions of nonlinear networked control system stochastic stability and existence of an H-infinity fault tolerance controller are obtained by using the theory of Lyapunov stability and a linear matrix inequality analysis method. Solving is performed by using a Matlab LMI tool box, a non-fragile fault tolerance controller gain matrix K=YP<-1><011> is given, the conditions for optimization of the minimum disturbance suppression ratio gamma are given, and the optimized controller gain matrix K* under the minimum disturbance suppression ratio gamma<min> (the square root of e) is acquired. The situation of the random fault of the actuator is considered, and the probability of the random fault meets BerRoulli distribution so as to have more practical meaning.

Description

technical field [0001] The present invention relates to networked control systems and fault-tolerant control, in particular to a non-fragile H ∞ fault-tolerant control method. Background technique [0002] The closed-loop control system formed through the communication network is called networked control system (networked control system, abbreviated as NCSs). NCSs has the advantages of convenient installation and maintenance, high flexibility and easy reconfiguration. However, the introduction of the communication network has led to the following problems in the system: 1) Network delay: when data is transmitted in the communication network due to network congestion or external interference, there is a problem of network delay in the networked control system; 2) Packet loss : In the process of data transmission, due to network congestion and resource competition, the problem of data packet loss will be caused. At the same time, external uncertain factors may lead to system...

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Problems solved by technology

However, the introduction of the communication network has led to the following problems in the system: 1) Network delay: When data is transmitted in the communication network due to network congestion or external interference, there is a problem of network delay in the networked control system; 2) Packet loss : In the process of data transmission, due to network congestion and resource competition, the problem of data packet loss will be caused

In the paper "Non-fragile Robust Fault-Tolerant Control with Actuator Saturation Uncertainty", Cao Huichao et al. gave a design method of a non-fragile robust fault-tolerant controller for actuator saturation, but this is only for actuators that fail completely or completely Normal situation, can not meet the needs of the actual situation

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