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A Homotopy Method for Stabilization of Multivariable Systems with Structural Constraints on State Feedback

Phatak, Makarand S and Keerthi, Sathiya S (1991) A Homotopy Method for Stabilization of Multivariable Systems with Structural Constraints on State Feedback. In: 1991 IEEE Region 10 International Conference on EC3-Energy, Computer, Communication and Control Systems. TENCON '91, 28-30 August, New Delhi,India, Vol.1, 19-23.


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Various structural Constraints on the state feedback gain matrix, K, used in the control of a multivariable dynamical system arise because of the way feedback is realized. Static output feedback, decentralized state feedback,simultaneously stabilizing state feedback for several operating points of a system, and two-controller feedback are some examples of control structure realizations which impost: constraints on K. We cast each of the problems in a general class of problems of stabilization of multivariable systems with such structural constraints into a problem of solving a system of equalities and inequalities which is then solved using a continuous realization of the gradient projection method and a barrier method under the homotopy framework. Our method is illustrated with two examples.

Item Type: Conference Paper
Additional Information: Copyright 1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Depositing User: Kujur Pawan
Date Deposited: 25 Aug 2008
Last Modified: 19 Sep 2010 04:27
URI: http://eprints.iisc.ac.in/id/eprint/6924

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