Stability analysis of networked control systems with uncertain packet-loss probability

Abstract

This paper is concerned with the robust stability in the mean square sense of networked control systems subject to packet dropout with uncertain probability. Both cases of time-invariant and time-varying uncertain probability with an upper bound are considered by introducing different classes of parameter-dependent Lyapunov functions. For time-invariant uncertain packet-loss probability, a new necessary and sufficient condition which can be solved by LMIs is proposed for the mean-square stability, and the largest upper bound of the packet-loss probability can be therefore obtained. For time-varying uncertain packet-loss probability, a sufficient condition in the form of LMIs is derived. Moreover, the proposed methodologies are further developed for the case where there are multiple packet-loss channels with respective uncertain probability under the parallel transmission strategy.