Development of a decentralized robust controller 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 uncertainties. The parameter uncertainties are considered to be unknown but norm-bounded. By applying Lyapunov´s stability theorem, two new delay-dependent sufficient conditions are established in terms of linear matrix inequalities, and linear memoryless state feedback controllers are designed to maintain the robust stability for the class of systems under study. It is shown that either no tuning procedure is required or only one parameter from each inequality needs to be tuned. Two examples are presented to demonstrate the application of the results presented