Guaranteed cost static output feedback for networked control systems

This paper is concerned with the guaranteed cost static output feedback (SOF) control for a networked control system (NCS) in imperfect conditions. First, by analyzing the sampling process in connection with network-induced delays and consecutive data packet dropouts and by introducing a new delay function, we formulate such a NCS as a continuous time delay system with the practical assumption that network delays and consecutive dropouts are bounded. Then, based on the delay-dependent approach, sufficient conditions for the existence of a guaranteed cost SOF controller in the NCS are obtained via a set of non-convex matrix inequalities. A cone complementary linearization (CCL) algorithm is used to solve these inequalities to determine a sub-optimal controller that minimizes the guaranteed cost of the NCS. Simulation results are shown to demonstrate the effectiveness of the proposed method.