An improved stabilization criterion for networked control systems

This paper addresses control of linear networked control system with non-ideal network Quality of Services (QoSs). A new Lyapunov-Krasovskii function is proposed to drive the delay-dependent stabilization criterion, which is convenient for us to utilize of the information of the first derivative of network-induced delay equals to 1, and the lower and upper bounds of the time-varying network-induced delay. The criterion is formulated in the form of a non-convex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of Linear Matrix Inequalities(LMIs). Because inner property of delay are fully considered and none of cross product items are arbitrarily ignored and magnified in the derivation, then the less conservative results are introduced. Numerical simulations are given to demonstrate the effectiveness of the proposed approach.