Local mode dependent decentralized H∞ control of uncertain Markovian jump large-scale systems

This paper deals with the problem of robust H∞ control via decentralized state feedback for a class of large-scale systems with Markov jump parameters. A sufficient condition is developed to design controllers via local system states and local system operation modes. The proposed sufficient condition is given in terms of rank constrained linear matrix inequalities. Finally, an illustrative numerical example is used to demonstrate the developed theory.