The Stabilization Of Stochastic Feedforward Systems With Delays In The State And Input

In actual control systems,nonlinearity,time delay,and random perturbations are very common.For control systems,time delay tends to make its performance unstable or oscillate,which makes the study of stochastic nonlinear time delay systems more meaningful.In this paper,the controller design and stability analysis problems of a type of systems with time delay are studied.The main results of the study are as follows:1.For a type of stochastic feedforward systems with time delay in states and inputs,a memoryless feedback controller is designed by using feedback domination and the LyapunovKrasovskii functional method,so that the equilibrium point of the closed-loop system is stable.The proposed system satisfies certain growth conditions and allows the time delay of the system to be arbitrarily large,and finally a numerical example is used to verify the feasibility of the designed control law.2.For a type of stochastic feedforward time-delay systems with unknown control coefficients,the global mean square exponential stabilization problem is studied.By using the feedback domination method and selecting the appropriate Lyapunov-Krasovskii function,it is proved that the designed controller can make the closed-loop system meet the global mean square exponential stability.3.For a stochastic nonlinear system with both state and input time delay,the sampling data control problem of this system is studied.With the help of the Lyapunov-Krasovskii functional method and the control theory of feedback dominance,a memoryless digital feedback controller is constructed,which makes the global mean square exponential stable of the closed-loop system.The designed controller does not rely on the state information of the system at past moments,and is in a discrete form,which is easier to implement in practical applications.