Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output☆

Abstract

Abstract This paper deals with the problem of delay-dependent stability for networked control systems (NCSs) with structured uncertainties and multiple state time-delays. In view of multi-input and multi-output (MIMO) NCSs with many independent sensors and actuators, a continuous time model of NCSs with distributed time-delays and uncertainties is proposed. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria for the system in terms of LMIs are derived. With the proposed criteria, we are able to analyze the delay-dependent asymptotic stability and obtain maximum allowable delay bound (MADB) of NCSs with uncertainties and multiple time-delays. Compared to other criteria, the proposed criteria give a much less conservative MADB and more general results. Numerical example and simulation show that the proposed criteria are effective and are an improvement over previous ones.