Robust Output Tracking Control for Networked Control System with Markovian Delays and Data Dropouts

This paper concerns with the robust output tracking control problem for a class of networked control system with Markovian delays and data dropouts. Considering the time delay and packet dropout´s stochastic characteristic, the time delay and packet dropout are described as two Markov process respectively. Then, by combining the two Markov chain, a whole discrete-time Markov jump linear system model with partially known transition probabilities is established. Also, based on this model, mode-depend output feedback controller is constructed, and the addressed output tracking control problem is converted into an H_∞ control problem. Then, the sufficient existence conditions and the solving method of the output feedback controller are simultaneously derived in the form of linear matrix inequality (LMI). Finally, a numerical example has been given to demonstrate the effectiveness of the proposed method.