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Matrix method for eigenstructure assignment - The multi-input case with application

Pradhan, S and Modi, VJ and Bhat, MS and Misra, AK (1994) Matrix method for eigenstructure assignment - The multi-input case with application. In: Journal of Guidance, Control, and Dynamics, 17 (5). pp. 983-985.

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The eigenvalue and eigenstructure assignment procedure has found application in a wide variety of control problems. In this paper a method for assigning eigenstructure to a linear time invariant multi-input system is proposed. The algorithm determines a matrix that has eigenvalues and eigenvectors at the desired locations. It is obtained from the knowledge of the open-loop system and the desired eigenstructure. Solution of the matrix equation, involving unknown controller gams, open-loop system matrices, and desired eigenvalues and eigenvectors, results hi the state feedback controller. The proposed algorithm requires the closed-loop eigenvalues to be different from those of the open-loop case. This apparent constraint can easily be overcome by a negligible shift in the values. Application of the procedure is illustrated through the offset control of a satellite supported, from an orbiting platform, by a flexible tether.

Item Type: Journal Article
Publication: Journal of Guidance, Control, and Dynamics
Publisher: American Institute of Aeronautics and Astronautics
Additional Information: Copyright of this article belongs to American Institute of Aeronautics and Astronautics.
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Date Deposited: 26 Apr 2011 10:01
Last Modified: 06 Nov 2018 07:03
URI: http://eprints.iisc.ac.in/id/eprint/36489

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