The Stability Analysis And Design Of Sampling Control System Based On T-S Model

With the development of technology and society, the classical control theory’sapplication in the practical engineering has more or less limitation, which is difficult to solvethe problems in real production activities, especially considering the interference ofuncertain factors. The propose of the fuzzy theory has brought new developmentopportunities to the classical control theory, and the sampling control systems are widelystudied in recent years, variable sampling technique is applied to various fields. At present,there have been many research achievements about fuzzy sampling systems, but there arestill many problems that need to be solved when appling it to the actual project pefectly. Soit is necessaryto make further research on fuzzy sampling systems.In this article, we do some rearchon stability analysis and controller design for constantsampling control systems, variable sampling systems and variable sampling systems withparameter uncertainties based on T-S model. By choosing an appropriate Lyapunov-Krasovskii functional, using discretization method and Jensen inequality to deal with thefuzzy sampling system, the results are given in the form of linear matrix inequality (LMI)and some of the new controller design scheme and better results are given.In this paper, we will do rearch and make improvement in the following aspects:At first, we make analysis for the research significance of T-S fuzzy systems andsampling control systems, formulate the development status of the T-S fuzzy samplingcontrol systems, give a simply introduce to the main work of this article, then the basicknowledge and important lemmas are introduced.By choosing an appropriate Lyapunov-Krasovskii functional, we make stabilityanalysis and controller design for constant sampling controlsystems based on T-S model. Byusing the discretization method, we got a less conservative stability criterion, the result ismore simple, avoiding the problems that getting the same problem of fuzzy controller gainwhich is cased by asymmetric structure under the controller design of the previous fuzzysampling controlsystems.The problems of variable sampling based on T-S model is disscussed. An input delayapproach is introduced to the reserch of this system, stability criterion with less conservativeand more concise is given by using Jensen inequality technology. Then the controller ofvariable sampling control system based on T-S model is designed and the system state response figures are given. The comparison of the system state response figures illustratethat the designed controller has good performance.The T-S fuzzy variable sampling systems with parameter uncertainties is considered.We do rearch on norm-bounded uncertainty T-S fuzzy sampling systems. The thesis makestability analysis and controller design to this system, several controller gain parametersand Simulink graphics are given, and the Simulink graphics proved the method is feasible.