Dissipative control for linear systems by static output feedback |
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| Authors: | Zhiguang Feng James Lam Zhan Shu |
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| Affiliation: | 1. Department of Mechanical Engineering , The University of Hong Kong , Pokfulam Road, Hong Kong congdian@gmail.com;3. Department of Mechanical Engineering , The University of Hong Kong , Pokfulam Road, Hong Kong;4. Electro-Mechanical Engineering Group, Faculty of Engineering and the Environment , University of Southampton , England |
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| 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. |
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| Keywords: | dissipativity linear matrix inequality static output-feedback |
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