Finite-time Bounded Control And Observe Design For Several Classes Of Generalized Lipshitz Systems

With the practicability and availability in the real enginering application,finite-time boundedness has raised recent research attentions.At the same time,in the controller and observer design,systems satisfy the one-sided Lipschitz and quasi-one-sided Lipschitz condition,has less consercative than the classical Lipschitz condition.This thesis will consider the finite-time bounded controller and observer design for one-sided Lipschitz and quasi-one-sided Lipschitz systems.This thesis divides into six chapters,the research contents of each chapter are as follows:Chapter one is introduction,mainly introduces the finite-time control concept?one-sided Lipschitz and quasi-one-sided Lipschitz condition and nonlinear differential inclusions domestic and overseas journalists;sketchs the mathematics foundation used in this thesis and MATLAB toolbox used in simulation part with some relevant programming language.Chapter two investigates the finite-time bounded state feedback design for a class of one-sided Lipschitz systems,by using the linear matrix inequality theory,obtains an optimal control gain satisfying an interference rejection condition.Chapter three designs a form of Luenberger observer for a class of quasi-one-sided Lipschitz system with delay,based on the finite-time bounded and matrix inequality theory,designs an algorithm to obtain the observer satisfying a disturbance rajection condition.Chapter four investigates the functional observer design for a class of one-sided Lipschitz systems with time delay.Based on the finite-time bounded and matrix inequality theory,the error dynamics is proved to satisfy finite-time bounded definition,and the observer gain matrices has been calculated.Chapter five investigates the controller design for a class of polytopic differential inclusions,the nonlinear function satisfies one-sided Lipschitz condition,by designing quadratic convex function as system's candidate Lyapunov function,based on the finite-time bounded and matrix inequality theory,the optimal control gain matrix is finally obtained.The sixth chapter summarizes the main contents of this thesis and presents several valueble topics of this field.