Mixed H2/H∞ Control for Networked Control Systems (NCSs) with Markovian Packet-Loss

This paper addresses the mixed H-2/H infinity control design problem of networked control systems(NCSs) with Markovian packet loss. Under the assumption that the packet loss is bounded and governed by Markov chains, a packet-loss dependent stabilizing controller is found by minimizing an upper bound of 1712 norm, under the restriction of a pre-specified 11,, norm bound. By transforming the stability criterion into an optimization problem, the mean-square stabilizing packet-loss dependent controller is thus obtained. The linear matrix inequality (LMI) approach is employed to calculate the robust controller for packet loss, with special respect to the uncertainty in the transition Markov probability matrix. Illustrative numerical examples are presented to demonstrate the effectiveness of derived methods.