采样系统快时变扰动比例积分观测器鲁棒H_2/H_∞控制  

Robust H_2/H_∞ controllers of sampled-data systems with fast time-varying disturbances based on proportional-integral state observers

作　　者：武俊峰[1] 董立志[1] 艾岭[1] 

机构地区：[1]哈尔滨理工大学自动化学院,哈尔滨150080

出　　处：《电机与控制学报》2009年第5期772-777,共6页Electric Machines and Control

基　　金：教育部科学技术研究重点项目(206041);教育部高校博士点专项研究基金(20060214004);哈尔滨市科技攻关计划(20051AA1CG037)

摘　　要：针对控制系统存在快时变扰动或噪声使传统观测器存在较大观测误差问题,依据鲁棒控制理论,采用线性矩阵不等式(LMI)方法,设计鲁棒H2/H∞全维状态比例积分观测器。研究系统在快时变扰动情况下,采样系统基于改进比例积分观测器的状态观测效果及鲁棒稳定性,得到一类充分条件,给出快时变扰动观测器比例增益、积分增益、控制器增益以及鲁棒H2性能指标的求解方法。仿真结果表明:所设计的观测器鲁棒性强,提高了状态观测精确度。In order to solve the problems of state observer errors big for traditional observers in practical systems with fast disturbances and noises, robust H2/H∞ controllers of a class of sampled-data systems based on proportional-integral state observers were designed by virtue of robust control theories and linear matrix inequalities （LMI） methods. Effects and robust stabilities of improved state observers were studied under fast-time varying disturbances. At the same time, a class of sufficient conditions was obtained and solution approaches of robust H2 performances index and state observer gains which contained proportion, integral and controllers were given. At last, the simulation shows the observers have advantages of better robust performances and high accuracies.

关 键 词：线性矩阵不等式 快时变扰动 采样系统 比例积分观测器 鲁棒控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]