广义不确定系统的分步H_∞鲁棒控制  

Staged H∞ robust control for uncertain descriptor systems

作　　者：刘艳红[1] 李春文[1] 姜培刚[1] 

机构地区：[1]清华大学自动化系,北京100084

出　　处：《控制与决策》2004年第12期1403-1406,共4页Control and Decision

基　　金：国家重点基础研究专项基金资助项目(G1998020307);国家自然科学基金重点项目(69934010).

摘　　要：针对具有参数不确定性和外部未知扰动的广义系统鲁棒控制问题,在系统状态不可测时,提出一种基于广义函数观测器的分步H∞控制方法.首先确定使系统二次容许且具有一定干扰抑制度和不确定参数限制度的状态反馈控制器;然后构造广义函数观测器以实现反馈控制.结果证明,闭环系统可以保持二次容许,且H∞鲁棒性能可任意逼近原状态反馈系统.具体算例表明了该方法的有效性.For robust control of descriptor systems with parameter uncertainty and unknown disturbance, when the states are not measurable, a staged H∞ control method based on generalized function observer is proposed. Firstly, a state feedback controller is designed to quadratically stabilize the system satisfying the prescribed disturbance attenuation and uncertain parameter limit. Secondly, a generalized state function observer is presented to implement the controller. The closed system is shown to be quadratically stable and the H∞ performance can arbitrarily approach to that achieved by state feedback. An example illustrates the effectiveness of the method.

关 键 词：广义系统 鲁棒控制 函数观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]