Simultaneous control of linear systems by state feedback

被引：10
|
作者：
Saadatjoo, F. [1 ,3 ]
Derhami, Vali [2 ]
Karbassi, S. M. [1 ,3 ]
机构：
[1] Yazd Univ, Fac Math, Yazd, Iran
[2] Yazd Univ, Elect & Comp Dept, Yazd, Iran
[3] Yazd ACECR Higher Educ Inst, Yazd, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 01期
关键词：
Linear systems; Time invariant; Simultaneous control; Optimization; Eigenvalue assignment; SIMULTANEOUS STABILIZATION; OUTPUT-FEEDBACK; CONTROL DESIGN; COLLECTION;
D O I：
10.1016/j.camwa.2009.01.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper. a new method for finding a state feedback matrix in order to control simultaneously a collection of linear systems (of the same size) by using similarity operations is presented. For stabilization of all the systems, it is necessary that the eigenvalues of the closed-loop systems lie inside a specified region in the left hand side of the complex plane. This aim is achieved by solving linear and nonlinear parametric systems of equations using nonlinear programming. The presented method is implemented in two examples and the results are verified in view of the norm of the state feedback matrix and stabilizability. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：154 / 160
页数：7
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