Integrated stabilisation policy over multipath routing‐enabled network

Abstract

In this study, a sampled-data networked control system over a multipath routing-enabled network is investigated, where each delivered signal in a path suffers a random delay. For such a system, the mean square stabilisation problem is considered under the joint design of the event-driven strategy on the actuator side and the control policy on the decision-maker side. The contributions of this study are twofold. First, by pre-defining an application time as an event-triggering parameter, the sampled-data system is transformed into a stochastic form with input delay and packet dropout. When the probability distribution F ( ⋅ ) of random delay is known a priori, the close form of packet dropout rate is proposed and a set of necessary and sufficient stabilisation conditions are developed simultaneously. When F ( ⋅ ) is unknown, the reduced system is an uncertain dynamic system. Utilising matrix polynomials, a verifiable criterion is derived for stabilising the uncertain system, which is also necessary and sufficient. Second, for the scalar system, the close form of allowable sampling period bound is developed in terms of F ( ⋅ ) and system parameters.