Robust stabilization of nonlinear networked control systems with quasi-one-sided Lipschitz condition

Abstract

This paper investigates the robust stabilization problem for a class of nonlinear networked control systems (NCSs) with a more general family of nonlinear functions, namely quasi-one-sided Lipschitz functions. Based on a time-varying delay system transformed from the NCSs, an augmented Lyapunov functional containing more useful information is constructed. A less conservative sufficient condition is established such that the closed-loop system stability and a prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance are satisfied while both time-varying network-induced delay and packet losses are taken into account. The controller design scheme is given in terms of linear matrix inequalities (LMIs). Numerical simulation is provided to illustrate the effectiveness and merits of the proposed method.