Based On LMI Dynamic Output H₂/H_? Reliable Control

In the controller design process,which could be consider the fault may appear,we call this reliable control.The purpose of reliable control system is regardless of whether the failure of the control section are enable to make closed-loop system stable.With the progress of technology,reliable control system gain the popularity by more and more people,the reliability of the application in the production of life is also very broad.The first chapter briefly introduces the reliable control system,LMI development situation,the reliable control system component failure and research content of this paper.The second chapter of the thesis is writing process involved basic concepts and theorems proved some important lemmas used by.The third chapter,chapters IV and V are the main results of this study.The third chapter based on LMI,dynamic output feedback,the paper gives a linear system H₂/H_? controller design method,numerical examples demonstrate the effectiveness of this controller design method.The fourth chapter discusses the linear systems when the sensor fails,the system can still maintain a stable dynamic output feedback H₂/H_? controller design method,and a H₂/H_? reliable control against sensor failure simulation example.The content of the fifth chapter is for linear systems,when considering the system's the actuators fails,given the resistance of the failure to actuators of H₂/H_? dynamic output feedback reliable controller design method and simulation examples demonstrate the viability of the controller.In this paper the most important issue is for the matrix treatment,the nonlinear matrix inequality by Lemma decomposition of linear matrix inequality,from the original can not be solved become to be,and then start analyzing the stability of the system.The last part of each chapter are accompanied by a corresponding numerical examples are given in the text of Theorem verified,and the results are valid and correct.