Dissipative control for linear systems by static output feedback

Zhiguang Feng, James Lam and Zhan Shu

International Journal of Systems Science, 2013, vol. 44, issue 8, 1566-1576

Abstract: In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples.

Date: 2013
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DOI: 10.1080/00207721.2012.659698

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