不确定时滞系统的鲁棒控制

By Robust Control theoryAbstract:In the process of industry,the system of uncertainty widelyexist,such as,dynamic modeling,the uncertainty of the parameters'structure and theuncertainty of the outside disturbances.All these uncertainties are difficult to measure.So people usually can only give these uncertainties some constraints.However,theRobust Control theory is one of the best methods to solve these uncertainties.On theother hand,in many industrial production processes,the time delay system is acommon phenomenon,especially in larger size industrial device.As in these devices,this phenomenon is difficult to be avoided.It is due to come up the delay phenomenonin industry transmission,complex linear analysis,and petrochemical andmetallurgical industries producing processes.The delay phenomenon has seriousimpact on the control system's stability and performance index.Therefore,the controlsystem stability problems,especially time delay system stability and its performanceindex come to be the important research subject of control theory.This research mainly focuses on the problems of uncertainty time delay system'sRobust Control.By using matrix theory of linear matrix inequality,andLyapunov theory and so on to deal with the following questions1.On the linear uncertain time delay system,such asx(t)=Ax()+4x(t-7)system,the research gives a necessary and sufficient condition to the certainty ofthe system in the matrix inequality form.On this base,the research extends its stabilityjudgment conditions.At last,the research gives number examples to prove its validity.2.On the linear uncertain time delay system,such asx(t)=Aox(t)+Bou(t)+Ax(t-d)+BFx(t-h)+Dw(t)system,this research gives some situation time delay system and input linear timedelay system of Robust stable devices,some judgment and still some approached to theclosed system stability and good condition.3.On the linear uncertain time lag system,this research does some studies onthe insurance cost control.