Uniform Markovian jump model of networked control systems

For the two different cases that the upper bound of network-induced delays is longer or less than one sampling period in a continuous-time networked control system (NCS), by discretizing the model of a continuous-time system and applying the augmented state-space method to the model, a uniform discrete-time jump model governed by Markov chains was presented. The parameters of the model reflected both the length of the delays and computation precision, so this model had more widely adaptability. The existing theory of a jump linear system was applied to analysis the necessary and sufficient conditions guaranteeing the system's stability. An interior-point algorithm was applied to design stabilizing controllers, and an approach to get the feasible initial solution of the interior-point algorithm was proposed. This improved algorithm stated above was applied effectively to the networked control and design of a cart and inverted pendulum with random delays.