Hinfinite control method of networking linear parameter changing system

A technology of linear parameter change and control method, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as uncertain packet loss factors

Active Publication Date: 2017-02-08
上海银丽科技有限公司
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Problems solved by technology

However, most of the existing studies only consider the H of the time-delay linear parameter variation syste

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  • Hinfinite control method of networking linear parameter changing system
  • Hinfinite control method of networking linear parameter changing system
  • Hinfinite control method of networking linear parameter changing system

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Embodiment

[0157] The H of a networked linear parameter change system proposed by the invention ∞ In the control method, in the absence of external disturbance, that is, when w(k)=0, the closed-loop networked linear parameter change control system is mean square exponentially stable. When there are external disturbances, the system is also mean square exponentially stable and satisfies H ∞ Performance. The specific implementation method is as follows:

[0158] Step 1: The controlled object is a closed-loop networked linear parameter change control system, its state space model is formula (1), and its system parameters are given as

[0159] A = 1.1 - 0.633 + 0.5 s i n ( k ) ...

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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 ...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 潘丰陈冬杰
Owner 上海银丽科技有限公司
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