Problem Of Robust Control For Several Generalized Uncertain Systems

This paper studies the problem of robust control for uncertain time delay systems.Firstly,the robust control theory and the current research and development situation of uncertainty,and then give the theorems and lemmas used,then aimed at the uncertain time-delay systems with several different classes,study on the design method of the system robust stability conditions and robust controller.Results are as follows:1.For generalized nonlinear switched systems with uncertain item and time delay.The uncertainties are parameters and the linear term is time-varying but satisfy the norm bounded generalized switching system,for a given performance index,wededuced the sufficient conditions for its existence that making the closed-loop system robust based on the Lyapunov stability theory and linear matrix inequality method.And design the corresponding rules,making the system robust_?interference suppression level and at the same time making guauanteed cost function have the upper bound for uncertain parameters.Then,an example is solved by using the LMI toolbox in Matlab,showing the effectiveness of the proposed method.2.This paper considers the issues of_?control and memory state feedback stabilization for a class of uncertain time-dealyed singular bilinear systems.Based on the Lyapunov stable theory,design a memory state feedback control approach constructing the generalized Lyapunov function and taking linear matrix inequality.A sufficient condition that ensure singular bilinear systems with robust_?control and memory state feedback and ensure the system satisfy the index with presented_?disturbance attenuation level?is given.Then,an example is solved by using the LMI toolbox in Matlab,showing the effectiveness of the proposed method.