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控制理论与应用 2009
Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems
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Abstract:
The decentralized robust H-infinity and cost-guaranteed control problem for singular large-scale systems with uncertainty in states and control matrices is considered. The uncertainty is magnitude-bounded, but may violate the so-called matching conditions. Based on the bounded real lemma of singular systems, a sufficient condition for the existence of decentralized robust H-infinity and cost-guaranteed controller for uncertain singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities (LMI). The feasible solutions to this system of LMIs provide a parameterized expression for the set of decentralized robust H-infinity and cost-guaranteed controller. The given example shows the application of the method.