Finite-time Stabilization With Output-constraints Of A Class Of High-order Nonlinear Systems

Nonlinear control systems have achieved wide applications in many fields.In recent decades,the nonlinear system theory has made great progress,many analytical theories and comprehensive methods for studying nonlinear systems are derived,the theories and the methods will have an important impact on the theory of nonlinear systems and even the entire system science.In nonlinear systems,the characteristics cannot be analyzed like they are in the linear system using the principle of superposition,increasing the complexity of the study,causing the theory of nonlinear systems to be far less mature and complete than the theory of linear systems.As the nonlinear system have different nonlinear functions,there is currently no unified method for studying nonlinear systems.Higher-order nonlinear systems with output constraints are an important class of nonlinear systems.Although the problems with output constraints and the problems of finite-time stabilization respectively achieved a lot of results,the results of study on the finite-time stabilization of higher-order nonlinear systems with output constraints are few considered in the literature.This paper focuses on the finite-time stabilization of higher-order non-linear systems with output constraints for two classes of higher-order nonlinear systems.The main work of this paper are as follows:Chapter 1 concerns introduction.The nonlinear system,finite-time stability,output constraint control are summarized,and the main contents and structure of the paper are briefly introduced.Chapter 2 concerns the finite-time stabilization with output-constraint for a class of high-order nonlinear systems with the powers of positive odd rational numbers,existence co!ndition and design method of state feedback controller are derived.In this chapter,a class of high-order nonlinear systems with uncertainties is investigated,where the powers of the system are positive odd rational numbers,and there is uncertainty in the controller channel.First,sufficient conditions for the solvability of a finite-time stabilization with output constraints for high-order nonlinear systems with positive odd rational powers are derived.Then,based on the technique of adding one power integrator,an iterative design method for state feedback controllers is proposed to guarantee global finite-time stalbility with output constraints of the closed-loop nonlinear system.Finally,an example is provided to demonstrate the effectiveness of the proposed result.Chapter 3 concerns the finite-time stabilization with output-constraint for a class of high-order nonlinear systems with the powers of positive real numbers,existence condi-tion and design method of state feedback controller are derived.In this chapter,a class of high-order nonlinear systems with output constraints is investigated,based on the last chapter,the powers of the nonlinear system are expanded into positive real numbers.First,sufficient conditions for the solvability of a finite-time stabilization with output constraints for high-order nonlinear systems with positive real powers are derived.Then,based on the technique of adding one power integrator,an iterative design method for state feedback controllers is proposed to guarantee global finite-time stability with out-put constraints of the closed-loop nonlinear system.Finally,an example is provided to demonstrate the effectiveness of the proposed result.The conclusions and perspectives end the dissertation.