For a class of networked control systems with time-varying state delays and parameter perturbations in the model, by constructing input delays and adding free matrices, using Lyapunov functional and linear matrix inequality tools, the robust asymptotic stability of the closed-loop system and the time-delay conditions satisfying the given H_ disturbance rejection level gamma are obtained, and the designer of the robust H_ state feedback controller of the system is given.
Law. The method is suitable for systems with time delays varying at any speed and does not need to know the derivative information of the time delays. Finally, the validity of the conclusion is proved by an example simulation. Networked control systems are widely used in reality.
Uncertainty and time delay are ubiquitous in practical systems, thermostatic element which are the main factors affecting system stability and corresponding performance indicators.
At the same time, it is unavoidable to suffer external interference in the process of system operation. Therefore, the stability analysis of uncertain time-delay systems and the design of an ideal controller are of great significance in theory and practice [1-3].
In recent years, robust H_ control for uncertain linear systems with state and input delays has attracted the attention of many scholars, and a lot of research results have been achieved.
In reference [4], robust H_ fault-tolerant control for a class of uncertain nonlinear singular systems is studied.
Reference [5] studies fault-tolerant guaranteed cost control of networked control systems with delay and packet loss. In reference [6], robust H_ non-fragile control for a class of uncertain networked control systems with time-varying delays is studied. Many existing research results assume that the time delay is fixed, or that the time delay is a smooth continuous function and its derivative is a fixed value less than 1.
Because the time-delay parameters in networked control systems change rapidly and sometimes the derivative of the time-delay parameters does not exist, the method chosen can not satisfy the real situation of the system, which undoubtedly increases the conservativeness of the system design [7-10].
Using Lyapunov functional and linear matrix inequality as tools, this paper studies the robust H_ control problem of networked control systems with time-varying delays and external disturbances by constructing input delays and introducing free matrices.
A sufficient condition for robust asymptotic stability and H_ performance of closed-loop systems is obtained, and the design of corresponding controllers is given [11-12].
Finally, the validity of the results is verified by numerical simulation.
SymboleB@control is studied. Based on Lyapunov stability theory, combining linear matrix inequality (LMI) with the method of adding free matrix, the design method of controller is given.
Finally, the simulation is carried out with the LMI toolbox of MATLAB, and the validity of the conclusion is obtained from the simulation results.