Output-Feedback Tracking Of Stochastic Nonlinear Systems With Time-Varying Delay

In reality,many fields can be described by stochastic systems,such as power systems,biology and environmental fields.In addition,time-delay is widely present in many engineering systems.Inspired by the above real application environments,this paper studies the tracking control problem of such systems with unmeasurable states by using high-gain homogeneous domination design and backstepping method.The research work in this paper is as follows:Firstly,for a class of stochastic nonlinear time-delay systems,the tracking control under the condition that the state is not measurable is studied.This research extends the previous research on stochastic systems.This paper uses output-feedback method to study its tracking problems.By using the backstepping method,coordinate transformation and high-gain homogeneous design,the controller is designed.Based on the Lyapunov–Krasovskii method and selecting the gain parameters,the tracking problem is solved.The simulation example verifies the effectiveness of the scheme.Secondly,we consider the tracking problem of a stochastic nonlinear time-delay system with Markov switching.By designing an output-feedback controller,using the Lyapunov–Krasovskii method and the ingenious design of gain parameters,the tracking problem is solved.The simulation example verifies the effectiveness of the controller.Thirdly,we study the distributed tracking control of stochastic nonlinear multi-agent systems with time-delay.A new distributed stochastic homogeneous dominanation method is proposed.Based on coordinate transformation,the distributed output-feedback controller is designed.Then,by selecting the gain of the controller,using appropriate Lyapunov-Krasoviskii function,the tracking problem of the system is solved.The simulation example verifies the effectiveness of the scheme.Finally,the content of the research in this article is summarized,and the future research direction is clarified.