This paper is concerned with the stabilisation design problem of Networked Control Systems (NCSs) with a compound Markovian transition probabilities. For handling the inter–sample behaviour, a novel segmented norm bounded method is proposed. By using this method, the conservativeness which is related to the larger interval of network–induced delay can be reduced. Correspondingly, a less conservative mode dependent stabilisation criterion expressed in terms of linear matrix inequalities is obtained. The effectiveness and merits of the proposed method are finally illustrated via numerical simulation.
Keywords: NCSs, networked control systems, network–induced delay, packet dropouts, stabilisation design, Markovian transition probabilities, linear matrix inequalities, numerical simulation