Robust Stability of Networked Control Systems with Communication Constraints

Abstract

Abstract-This paper investigates a robust state feedback controller for networked control systems (NCSs) with a finite bandwidth and network congestion. A simple scheme is used in order to eliminate the effect of the congestion, considering the existence of arbitrary packet dropout. A mathematical model of NCS with uncertain, varying and bounded network induced delay is obtained. The model is then converted into uncertain switching system model. The stability criteria for closed-loop system are formulated and sufficient conditions for the controller are given in terms of solvability of linear matrix inequalities (LMIs). An illustrative example is used to evaluate how effective the simple congestion control scheme is in reducing network bandwidth and preserving the stability of the NCS.