广义线性系统鲁棒极点配置分离原理  

Separation principle for robust pole assignment in descriptor linear systems

作　　者：吴爱国[1] 段广仁[1] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150001

出　　处：《系统工程与电子技术》2005年第10期1785-1787,共3页Systems Engineering and Electronics

基　　金：国家杰出青年基金资助课题(69925308)

摘　　要：针对广义线性系统,提出了基于全维观测器的控制系统设计的鲁棒极点配置分离原理。基于矩阵灵敏度理论证明了如下事实:与状态反馈系统相同的闭环系统极点具有和状态反馈系统极点相同的极点灵敏度。与观测器系统相同的闭环系统极点具有和观测器系统极点相同的极点灵敏度。于是全维观测器的状态反馈控制器中具有最小灵敏度的鲁棒极点配置,可以通过求解两个分开的鲁棒状态反馈极点配置问题实现。A separation principle for robust pole assignment in the full-order observer-based control system designs is proposed for descriptor linear systems. It reveals that the two facts： the closed-loop poles which are identical with those in the state feedback control system have the same sensitivities with respect to the perturbation parameters in the open-loop system coefficient matrices as those in the state feedback control system; the closed-loop poles which are identical with those in the observer system have the same sensitivities with respect to the perturbation parameters in the open-loop system coefficient matrices as those in the observer system. Thus, pole assignment with minimum sensitivities in a n-dimensional descriptor linear system using a full-order observer-based state feedback controller can be easily realized by solving two separate n-dimensional state feedback robust pole assignment problems.

关 键 词：广义线性系统 鲁棒极点配置 分离原理 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]