Quantized Feedback Stabilization And Finite-time Control

In recent years, considerable efforts have been devoted to the study of quantized control and finite-time control due to their theoretical and practical importance in the study of digital control and hybrid systems. The dissertation discusses fuzzy quantized feedback stabilization problem of fuzzy nonlinear systems, finite-time control of several systems subject to exogenous disturbance and the problem of H~∞control of two classes of impulsive systems with quantized feedback.The main contributions of this paper arc as follows:In chapter 1, we introduce the research background and present results. Meanwhile, base concepts are given and main results of this dissertation are presented.In chapter 2, we studied fuzzy quantized feedback stabilization problem of fuzzy nonlinear systems. New results on the stabilization of fuzzy nonlinear systems are obtained by choosing appropriately quantized strategics. H~∞performance analysis of fuzzy nonlinear systems with fuzzy quantized feedback is also discussed.In chapter 3, we gives concepts of finite-time stability(FTS), finite-time bound-edness(FTB). we present new results on finite-time control of several systems subject to exogenous disturbance including in two classes of linear systems, one class linear delayed system and two classes of fuzzy nonlinear systems subject to exogenous disturbance. Firstly, we study two classes of linear systems subject to exogenous disturbance. Applying the Lyapunov function theory, some sufficient conditions are established for finite-time stability via quantized feedback. Secondly, new results on finite-time control of one class of linear delayed system subject to exogenous disturbance arc investigated. Finally, we present new results on finite-time control of two classes of fuzzy nonlinear systems subject to exogenous disturbance. Applying the Lyapunov function theory, some sufficient conditions including relaxed ones are established for finite-time stability by fuzzy controller laws.In chapter 4, it is concerned with the problem of H~∞control of two classes of impulsive systems with quantized feedback. Firstly, several sufficient conditions of the H~∞control problems are established for impulsive systems including linear uncertain impulsive system and nonlinear impulsive system, respectively, with quantized feedback. We also deal with the problem of H~∞control of one class of fuzzy nonlinear impulsive systems with quantized feedback. New results on the H~∞control problems are established for one class of fuzzy nonlinear uncertain impulsive systems and one class of fuzzy nonlinear impulsive systems with nonlinear uncertainties by choosing appropriately quantized strategies, respectively.