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

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.