Stability Analysis And Controller Design Of Several Classes Of T-S Fuzzy Systems

With the development of the times,science and technology,more and more phenomena such as nonlinearity,random disturbance,uncertainty and time delay appear in our real life and industrial engineering.Compared with the traditional control theory,T-S fuzzy model as a non-linear function approximator can analyze and control the controlled object more effectively.In this paper,Lyapunov stability theory,linear matrix inequalities(LMIs)and some integral inequalities are used.The stability conditions and controller design methods of several classes T-S fuzzy systems are given respectively.The main contents of this paper are as follows:Firstly,the designed LKF fully consider the characteristics of sampled-data and state quantization.The conditions are obtained to guarantee the T-S fuzzy system is asymptot-ically stable with an_?norm bound.The sampled-data and state-quantized controller is designed.By introducing free weighting matrices,some integral methods and modified inequalities,the results in this paper are less conservative than other existing results.Then an example is given to demonstrate the effectiveness of the proposed method.Secondly,based on the constructed LKF and Peng-Parks integral inequality,some suf-ficient conditions are obtained in the form of linear matrix inequalities(LMIs),which are less conservative than other papers.By combining the input delay approach and dynamic quantizer,the sampled-data and quantized controller is designed.A numerical example is given to verify the effectiveness and superiority of the proposed method.Finally,the sufficient conditions are obtained to guarantee the sliding mode dynamics is generalized admissible and robustly passive.Under the aperiodic sampled-data environ-ment,the SMC law is proposed via the event-triggered method.It guarantees that the state trajectory of the T-S fuzzy singular system can be driven onto the predefined sliding surface in a finite time and keep it forever.Then an example is given to prove the feasibility and validity of the proposed method.