不确定广义系统的状态反馈鲁棒镇定控制器设计  

Design of State Feedback Robust Stabilization Controller for Uncertain Singular Systems

作　　者：吴越 WU Yue(Department of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《白城师范学院学报》2021年第2期23-29,共7页Journal of Baicheng Normal University

摘　　要：在参数不确定广义系统的鲁棒稳定性分析下研究控制器设计的可行性问题,结合对反馈意义下不确定广义系统的二次稳定的概念,进一步讨论在参数发生变化时广义系统的二次稳定与鲁棒稳定的等价关系问题.控制器的设计可以减少干扰因素和不确定性因素的影响.根据设计不同参数的不确定性的结构形式,基于LMI研究方法和鲁棒稳定性判据,即对受控制的系统在运行中的扰动因素产生的系统偏差进行整改,需要对系统采取相应的控制手段,设计一个状态反馈控制器,使闭环系统满足目标动态要求,从而让系统正常运行,达到标准.The parameter feasibility of controller design in robust stability analysis of singular systems have been discussed,it combines with a preliminary understanding of the concepts of quadratic stability for uncertain singular systems,and the equivalence between quadratic stability and robust stability of singular systems is further discussed when parameters change.According to the structure form of uncertainty of different parameters,based on LMI research method and robust stability criterion,the system deviation caused by disturbance factors in operation of controlled system is rectified.A state feedback controller is designed to make the closed-loop system meet the dynamic requirements of the target,so that the system can run normally and meet the standard.

关 键 词：广义系统 鲁棒稳定 控制器 参数不确定性 

分 类 号：O231[理学—运筹学与控制论]