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Transactions of the Institute of Systems, Control and Information Engineers
Vol. 28 (2015) No. 1 p. 22-31

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http://doi.org/10.5687/iscie.28.22

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In this paper, we deal with two problems of static output feedback for input-affine polynomial dynamical systems. One is to design a static output-feedback controller so as to render a prescribed algebraic set invariant for the resulting closed-loop system. The other is to design a static output-feedback controller so as to realize a prescribed vector field on a prescribed algebraic set. It is shown that the two problems can be represented by a particular inclusion of polynomials, and the inclusion can be solved. As a result, all the static output-feedback controllers required in the problems can be exactly represented by using free polynomial parameters.

Copyright © 2015 The Institute of Systems, Control and Information Engineers

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