The Study Of Chattering Avoidance In Descriptor Discrete-Time T-S SMC System

The sliding mode variable structure control catches many researchers' attention extensively because it has distinct and ideal robustness and holds the invariance for the change of system parameters,outside disturbance and uncertainty of the system,and its algorithm is very simple.It will produce high frequency chattering around the sliding plane after the system state getting to the sliding plane,and the control variable of the system will also produce high frequency chattering so that the system would not to be put into practice.The chattering phenomenon is a big barrier for the sliding mode control to apply to engineering practice;therefore,the chattering phenomenon becomes a research focus of variable structure control.Because the descriptor system is a dynamical system with a wide range of analog normal systems,the T-S fuzzy control model is easy to express the dynamics of complex systems.This thesis mainly studies the chattering problem of the descriptor T-S sliding mode variable structure control system.The main research work is as follows:1.The literature on variable structure control and descriptor system are investigated com-prehensively,and the development history and research status of the two systems are summa-rized.The mechanism of charrering in variable structure control system is briefly analyzed.The research status of charrering problem at home and abroad and the main methods of eliminating buffeting are introduced Methods;2.1n this part,the basic concept of variable structure control,the model of descriptor dis-crete T-S fuzzy system,the definitions and lemmas used in this thesis are introduced.3.1n this part,the exponential reaching law and variable reaching law are analyzed,and a new approach law is designed with arctangent function in combination with the combination reaching law.4.For a class of descriptor T-S fuzzy discrete systems with time-varying delay,the quasi-switching surface and discrete sliding mode control are designed based on the improved reach-ing law,which,under the action of control system of solution path along the quasi switching lines converge to the origin,and its stability is given and the admissibility of proof,at last,through simulation prove the correctness and effectiveness of the proposed scheme;5.For a class of descriptor T-S fuzzy discrete system with input disturbance,for its H in fty variable structure control,design the quasi sliding mode surface and H in fty controller,through the theory to prove its stability and acceptability,and kalman filter are introduced to further weaken the chattering,finally through the simulation prove the correctness and effec-tiveness of the proposed scheme.In this thesis,the proposed method is proved theoretically,and MATLAB is used for sim-ulation.The simulation results show that these methods are correct and effective.At the end of the paper,the whole paper is summarized and the future work is prospected...