Stable Control Design For Several Types Of Uncertain Nonlinear Systems

The control design of nonlinear systems has always been a hot and difficult problem in the field of control theory,which is widely used in robot systems,power systems,aerospace systems and biochemical systems,and so on.Therefore,the study of nonlinear system control theory is of great significance in theoretical and practical aspect.In this paper,the feedback stabilization of time-delay nonlinear systems with continuous time-varying output functions is studied.And the stability control design of a class of perturbed high-order uncertain nonlinear systems is presented.The main results include:(Ⅰ)Global output feedback stabilization of time-delay nonlinear systems with continuous time-varying output functionIn this part,the innovation is that the time-delay nonlinear system has continuous time-varying output function.And it is first proposed to use double-domination control method to deal with time variable error and time delay state.This control strategy is mainly based on the selection of Lyapunov-Krasovskii functionals.At the same time,the newly constructed state observer does not use the information of output function and nonlinear term.Finally,a simulation example is given to verify the correctness of the proposed control method.(Ⅱ)Stability control of a class of high-order uncertain nonlinear system with disturbanceThe innovation of this part is to generalize the fast finite-time control method to study the control design problem of a class of perturbed high-order uncertain nonlinear systems.The Lyapunov function is constructed by means of symbolic function technique and fast finite-time stability theory.This ensures that the designed continuous controller can effectively deal with the uncertainties of the nonlinear systems studied.Finally,the simulation example is given to verify the correctness of the proposed control method.In a word,in terms of the control design of nonlinear system,this paper provides some new control design methods,which can promote and promote the solving of practical problems.