Guaranteed Cost Control of Uncertain Large-Scale Discrete-Time Systems

In this paper, we address the problems of guaranteed cost control for a class of large-scale discrete-time systems with parameter uncertainties. The parameter uncertainties are real time-varying norm-bounded. Using the Lyapunov method, a robust decentralized state-feedback controller is constructed to render the closed-loop system robustly stable while guaranteeing a prescribed level of performance. The developed result is expressed in terms of linear matrix inequalities. A numerical example is included to illustrate the design procedure.

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