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Decentralized Robust H∞ Control of Large Scale Systems with Polytopic-Type Uncertainty

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In this article, we present a decentralized robust stabilization and H∞ control for large-scale uncertain systems. The system is represented by a set of interconnected subsystems. We interest to the study of stability of the global system in closed loop using state feedback decentralized controllers. The stability conditions are presented in terms of LMI. In order to improve this first approach, we propose, through a criterion H∞, to study the robustness according the effects of interconnections between the subsystems. Some sufficient conditions, ensuring all the closed-loop stability, are supplied in terms of Linear Matrix Inequalities (LMIs) and the feedback gain matrix of each local controller is obtained by solving the LMIs. Finally, the practice examples are given to illustrate the efficiency of the proposed approach.
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Decentralized Control; Large-Scale System; Linear Matrix Inequality (LMI); Uncertain Systems

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