Decentralized robust H∞ control of uncertain large-scale systems with state-delays-LMIs approach

This paper deals with the problem of decentralized robust H_∞ control for a class of interconnected uncertain systems with state delays. The parameter uncertainties are unknown but norm-bounded. The definition of decentralized robust H_∞ control of uncertain large-scale systems is proposed. A new sufficient condition is obtained for each subsystem and overall system to be stabilizable with given H_∞ norm bound via linear memoryless state feedback decentralized controllers. The results depend on the size of the delays and are given in terms of linear matrix inequalities. Finally, an illustrative example is presented