On Reliable Control For Linear Uncertain Time-delay Systems

Time-delay always appears in many practical systems,the time-delay often leadsthe instability and poor performance of the system.Over the past several decades,thestability analysis problem of time-delay system and H control time-delay systemhave received considerable attentions.Therefore,the research of reliable control for thetime-delay system has great theoretical and practical significance.This paperdetailedly considers state delay problem and input delay problem,uses state feedbackcontroller with time-delay,and comprehensively discusses the stability problem for thetime-delay system.The first chaper of this paper gives a brief introduction to time-delay system androbust fault-tolerant control and robust H reliable control,the main research contentsof this paper in the same time. In the second chapter, some of the basic concepts andbasic theories are introduced,which will be used in this paper.In the thirdchapter,robust fault-tolerant control for the linear uncertain time-delay system isdiscussed.Introducing memoryless state feedback control law,the sufficient conditionsfor the closed-loop system possessing robust fault-tolerant capability against theactuator faults or the sensor faults are obtained by using modified Lyapunovinequality.In the forth chapter,I give further considerations of the linear uncertaintime-delay system.Using time-delay state feedback,it proposes the fault-tolerantcontrol conditions aginst manifold failures,in terms of Lyapunov stability theory.In thefifth chapter,the design method of robust H reliable control for a class of uncertainsystems with time-varying input delay are proposed.Firstly,the system state modelincluding uncertain parameters with control input delay and actuator fault isestablished,then according to the modified Lyapunov stability theory,I can deducematrix inequality for robust H reliable control with time-varying input delay,andtransform it into linear matrix inequality. Under the discussions above,firstly, we processe faults,then processe parameteruncertainties by introducing lemmas,the original system equation is converted intolinear matrix inequality.Corresponding numerical example is accompanied at the endof each chapter,and they verify that the results corresponding are solvable andfeasible.