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Robust Decentralized Stabilization for Uncertain Interconnected Systems

Amal Zouhri , Ismail Boumhidi


In this paper, we present a new decentralized robust stabilization for uncertain interconnected systems. The system is represented by a set of interconnected subsystems, each of which contains the uncertainties and interactions, we also interest to study the stabilization of the global system in closed loop using state feedback decentralized controllers. The stabilization conditions are presented in terms of LMI, and the feedback gain matrix of each local controller is obtained by solving the LMIs. The solutions of the LMIs can be obtained easily using efficient convex optimization techniques. A practice example is given in order to show the efficiency of the obtained result.


Interconnected systems; decentralized control; uncertain system Lyapunov method; linear matrix inequality (LMI).

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