Robust Stabilization of Multi-Channel Descriptor Systems with Time-Delay Using Decentralized Output Feedback Control

This paper considers a robust decentralized output feedback stabilization problem for uncertain multi-channel descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. An example is given to show the efficiency of this method.