Robust Decentralized H∞ Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

This paper considers a robust decentralized H_∞ control problem for uncertain multi-channel time-delay systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the sufficient condition is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. A given example shows the efficiency of this method