A rank constrained LMI algorithm for decentralized state feedback guaranteed cost control of uncertain systems with uncertainty described by integral quadratic constraints

Publication Type:
Conference Proceeding
Citation:
Proceedings of the American Control Conference, 2007, pp. 796 - 801
Issue Date:
2007-12-01
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The paper presents a numerical algorithm for constructing a decentralized state feedback guaranteed cost controller for an uncertain system. The uncertain systems under consideration contain structured uncertainty described by integral quadratic constraints. The decentralized controller is designed to achieve a closed loop system which is absolutely stable and such that a cost function satisfies a given bound for all admissible uncertainties. The main result gives an algorithm for constructing the desired controller in terms of LMIs subject to rank constraints. © 2007 IEEE.
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