Decentralized H-infinity control for multi-channel uncertain descriptor systems with time-delay

A robust decentralized H-infinity control is studied for uncertain multi-channel descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded. A sufficient condition for the uncertain multichannel descriptor time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory in which the Lyapunov-Krasovskii matrix is set to a block diagonal form with compatible order to the controller. This condition is in terms of linear matrix inequalities (LMIs) with a feasible solution. The design of the decentralized H-infinity control with desired order and output feedback is given.