Decentralized robust controller design for uncertain large-scale systems with control delays

This paper presents a decentralized robust controller design for a class of interconnected dynamic systems with control delays and parametric uncertai nty. The parameter uncertainties are considered unknown but norm bounded. B y applying the Lyapunov stability theorem, two new delay-dependent sufficie nt conditions are established in terms of linear matrix inequalities, and l inear memoryless state feedback controllers are designed to maintain the ro bust stability for the class of systems under study. It is shown that eithe r no tuning procedure is required or only one parameter from each inequalit y needs to be tuned. An example is presented to demonstrate the application of the results presented here.