Hinfinite control method of networking linear parameter changing system

Abstract

The invention discloses an Hinfinite control method of a networking linear parameter changing system. On the condition that random packet loss exists in signal transmission of the networking linear parameter changing system, a closed-loop networking linear parameter change changing control system model is established firstly, and then an appropriate Lyapunov function is constructed, thereby obtaining a sufficient condition of a fact that a stable mean square index of the networking linear parameter changing control system is realized and an Hinfinite controller exists. By means of an approximate primary function and grid technology, a problem of solving an original infinite-dimensional linear matrix inequality set is approximated to a problem of solving a finite-dimensional linear matrix inequality set, and the gain of a corresponding Hinfinite controller is defined to K(rho)=VB1<-1>(rho)P11<-1>(rho)B1(rho)V<T>M. According to the Hinfinite control method, a packet loss condition in a process of sensor-controller and a process of controller-executor are considered. The packet loss probability accords with Bernoulli distribution, and higher practical value is obtained. Hinfinite performanace restriction which depends on a parameter is presented. Conservatism of the Hinfinite control method is reduced.

Description

technical field [0001] The present invention relates to a networked linear parameter change control system and H ∞ control, especially H involving a networked linear parameter change control system with packet loss ∞ Control Method. Background technique [0002] Linear Parameter Variation (LPV) system is a special kind of linear system, its state space matrix (coefficient matrix in system state space description, referred to as "state space matrix") is not linear time-invariant, but some time-varying. The parameter vector is the function of the independent variables. Linear parameter variation systems are more extensive and general systems than general linear time-varying (LTV) systems and linear time-invariant systems (LTI). When the time-varying parameter trajectory change of the linear parameter changing system is given, it can be regarded as a general linear time-varying system; when the time-varying parameter is a given constant, the linear parameter changing system ...

AI Technical Summary

Problems solved by technology

However, most of the existing studies only consider the H of the time-delay linear parameter variation system ∞ control, there is almost no research on uncertain packet loss factors, so H ∞ Controllers are important

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