Decentralized robust control for large scale interconnected uncertain systems with time-delay

Abstract

For a class of interconnected time-delay uncertain systems satisfing the matching conditions, the sufficient condition for decentralized stabilization feedback control laws is derived based on Lyapunov stability theorem. This condition is expressed as the solvability problem of linear matrix inequalities(LMI). It can be easily determined whether or not, it is feasible and one can easily obtain the decentralized stabilizing state feedback matrices via LMI techniques. The method overcomes the limitations of the existing algebraic Riccati equation method. The given example shows the application of the method.

Keywords

uncertainties / time-delay / linear matrix inequality / decentralized control / robustness

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