Global Control For Stochastic Nonlinear Time-delay Systems

The study on the control issues for stochastic nonlinear systems is always a major research trend in international automatic control field. Stochastic feedforward(also called the upper-triangular) nonlinear system, which can be described by the upper-triangular structure equation. As many researchers’ well known, the time-delay phenomenon widespread in a great number of practical physical systems, and the existence of time-delay is a key factor leads to system instability. To solve this problem, the paper concentrates on the global control issues of two kinds of stochastic nonlinear systems with time-delay. The main contents as follows:The third chapter targets on solving the global state-feedback control problem for a class of stochastic feedforward nonlinear systems with input time-delay. By selecting the suitable Lyapunov-Krasoviskii functional(LKF) and using the homogeneous dominant idea, we can design an independent-state state-feedback controller, which ensures that the closed-loop system is globally asymptotically stable in probability. Applying Matlab simulation to verify the feasibility of the proposed scheme.The fourth chapter by using common Lyapunov function design method, constructing an implementable reduced-order observer and selecting an appropriate LKF, an output feedback controller independent of switching signals is devised. Thus, it solves the global output-feedback control problem for a kind of stochastic nonlinear time-delay systems under arbitrary switching.Applying Matlab simulation to demonstrate the efficiency of the proposed scheme.