Simultaneous control of linear systems by state feedback

Authors:
F. Saadatjoo;Vali Derhami;S. M. Karbassi
Affiliations:
Faculty of Mathematics, Yazd University, Yazd, Iran and Yazd-ACECR Higher Education Institute, Yazd, Iran;Electrical and Computer Department, Yazd University, Yazd, Iran;Faculty of Mathematics, Yazd University, Yazd, Iran and Yazd-ACECR Higher Education Institute, Yazd, Iran
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

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.