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

Authors:
Jie Fu;Yaping Dai
Affiliations:
Dept. of Control Science and Engineering, Beijing Institute of Technology,;Dept. of Control Science and Engineering, Beijing Institute of Technology,
Venue:
WISM '09 Proceedings of the International Conference on Web Information Systems and Mining
Year:
2009

Citing 2
Cited 0

Brief paper: Stabilization of linear systems over networks with bounded packet loss

Automatica (Journal of IFAC)
Robust H2 control of Markovian jump systems with uncertain switching probabilities

International Journal of Systems Science

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Abstract

This paper addresses the mixed H 2 /H ∞ 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 H 2 norm, under the restriction of a pre-specified H ∞ 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.