Research On The Control Problem Of Strict Feedback Time-delay Syste

Stochastic disturbance and time delay exist widely in practical systems,and their existence is often an important factor that leads to the deterioration and instability of system performance.Therefore,the research on stochastic/time-delay nonlinear systems has been widely concerned and rich theoretical results have been obtained.In this paper,the controller design and stability analysis for two kinds of strict-feedback time delay systems are studied.The main contents include:1.For a class of strict-feedback nonlinear systems with different time-varying delays,this chapter presents two design schemes of state feedback control and output feedback control respectively.First,under the assumption that the nonlinear terms satisfy linear growth,an equivalent closed-loop system is obtained by constructing a parameterdependent state feedback controller and introducing appropriate coordinate transformation.Then,by selecting a Lyapunov-Krasovskii functional with an exponential term and selecting appropriate design parameters,the closed-loop system is proved to be exponentially stable.Finally,the proposed state feedback control method is applied to the control of a two-stage chemical reactor system,and the effectiveness of the control method is verified.On this basis,the problem of output feedback control is further solved by constructing a realizable observer.2.The global asymptotic stabilization problem is studied for a class of stochastic strict-feedback nonlinear systems with different delay states.In this chapter,two new control methods are proposed,namely,parameter-dependent state feedback control and parameter-dependent output feedback control.By constructing Lyapunov-Krasovskii functional,selecting suitable design parameters,and using the stability theory of stochastic nonlinear time delay systems,the global asymptotic stability of stochastic closed-loop systems can be realized.Finally,the proposed output feedback control scheme is applied to the control design of the one-link manipulator system,and the effectiveness of the method is verified.