Abstract and Applied Analysis

Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations

Hua-Feng He, Guang-Bin Cai, and Xiao-Jun Han

Full-text: Open access

Abstract

The problem of state feedback optimal pole assignment is to design a feedback gain such that the closed-loop system has desired eigenvalues and such that certain quadratic performance index is minimized. Optimal pole assignment controller can guarantee both good dynamic response and well robustness properties of the closed-loop system. With the help of a class of linear matrix equations, necessary and sufficient conditions for the existence of a solution to the optimal pole assignment problem are proposed in this paper. By properly choosing the free parameters in the parametric solutions to this class of linear matrix equations, complete solutions to the optimal pole assignment problem can be obtained. A numerical example is used to illustrate the effectiveness of the proposed approach.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 301375, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412278769

Digital Object Identifier
doi:10.1155/2014/301375

Mathematical Reviews number (MathSciNet)
MR3253576

Zentralblatt MATH identifier
07022114

Citation

He, Hua-Feng; Cai, Guang-Bin; Han, Xiao-Jun. Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 301375, 7 pages. doi:10.1155/2014/301375. https://projecteuclid.org/euclid.aaa/1412278769


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