Robust Control System Design Using Proportional Plus Partial Derivative State Feedback  

作　　者：DUAN Guang-Ren ZHANG Biao 

机构地区：[1]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, P. It. China [2]Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China

出　　处：《自动化学报》2007年第5期506-510,共5页Acta Automatica Sinica

基　　金：Supported in part by the Chinese Outstanding Youth Science Foundation(69925308);supported by Program for Changjiang Scholars and Innovative Research Team in University

摘　　要：经由为矩阵对的概括特征值敏感问题的比例的正部分衍生物状态反馈和结果把线性系统基于为描述符建议的一般参量的 eigenstructure 赋值结果，到在开环的系统矩阵的使不安的元素的靠近环的特征值敏感的参量的表示被获得。为有在经由反馈当时是的比例的正部分衍生物状态的线性系统建议了的描述符的最小的敏感的特征值赋值的一个有效算法。算法不包含回到过程，并且允许靠近环的特征值方便地在需要的区域以内被优化。一个例子表明它的有效性和简洁。Based on a general parametric eigeustructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs,parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained.An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.The algorithm does not contain‘going back’procedures,and allows the closed-loop eigenvalues to be conveniently optimized within desired regions.An example demonstrates its effectiveness and simplicity.

关 键 词：鲁棒控制系统 线性系统 特征值 比例偏导数状态反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]