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A homotopy approach for stabilizing single-input systems with control structure constraints

Phatak, Makarand S and Keerthi, Sathiya S (1992) A homotopy approach for stabilizing single-input systems with control structure constraints. In: Automatica, 28 (5). pp. 981-987.

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Official URL: http://dx.doi.org/10.1016/0005-1098(92)90151-5


A linear state feedback gain vector used in the control of a single input dynamical system may be constrained because of the way feedback is realized. Some examples of feedback realizations which impose constraints on the gain vector are: static output feedback, constant gain feedback for several operating points of a system, and two-controller feedback. We consider a general class of problems of stabilization of single input dynamical systems with such structural constraints and give a numerical method to solve them. Each of these problems is cast into a problem of solving a system of equalities and inequalities. In this formulation, the coefficients of the quadratic and linear factors of the closed-loop characteristic polynomial are the variables. To solve the system of equalities and inequalities, a continuous realization of the gradient projection method and a barrier method are used under the homotopy framework. Our method is illustrated with an example for each class of control structure constraint.

Item Type: Journal Article
Publication: Automatica
Publisher: Elsevier science
Additional Information: Copyright of this article belongs to Elsevier science.
Keywords: Eigenvalues;nonlinear programming;numerical methods;output feedback;stabilizers.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 24 Jan 2011 09:16
Last Modified: 24 Jan 2011 09:16
URI: http://eprints.iisc.ac.in/id/eprint/34708

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