Research On H_? Tracking Control For T-S Fuzzy Systems With Partly Immeasurable Premise Variables

This study is concerned with the problem of H? tracking control design for T-S fuzzy systems with partly immeasurable premise variables and external disturbances.The main object is to make full use of the information of measurable premise variables,to obtain less conservative results and to improve the tracking performance.The research background is introduced in the first chapter.The basic knowledge of T-S fuzzy system and some theories are presented in the second chapter,which provide a theoretical basis for the following controller design.In the third chapter,a state feedback tracking control approach is proposed for T-S fuzzy systems with partly immeasurable premise variables.Different from the past design methods,a novel fuzzy observer is constructed by using the measurable premise variables and the estimations of immeasurable premise variables of fuzzy models.And a new fuzzy control scheme is proposed by using measurable premise variables of fuzzy models as the premise variables of fuzzy controllers.Further,by constructing the set-theoretic description of fuzzy models,employing the Lipschitz-like conditions and adopting the set theory,new robust stability conditions are obtained.Finally,two examples are given to illustrate the effectiveness of the proposed method.In the fourth chapter,a method of obtaining a large attractive domain for the actuator saturation case is proposed based on the third chapter.And the given simulation show that the proposed method is effective.In the fifth chapter,an output tracking control method is proposed.Different from the previous transformation model,an uncertain fuzzy system containing only the measurable premise variables is constructed for representing the T-S fuzzy model both with measurable and immeasurable premise variables.A novel switching H? tracking control scheme is proposed.Then,new conditions are obtained by constructing a minimum-type piecewise Lyapunov function and using equivalence relation in set theory.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.At last,conclusions and further research directions are given in the sixth chapter.