On the optimal multirate control of networked control systems

Authors:
Zhang Xiang;Xiao Jian
Affiliations:
Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China;Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China
Venue:
WSEAS TRANSACTIONS on SYSTEMS
Year:
2008

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Abstract

Optimal multirate control of the networked control systems is investigated in this paper. Under p - to - wσ communication sequence that sensors access communication medium and m - to - wρ communication sequence that actuators access communication medium, the plant of networked control system acts as a linear periodic time-varying system. Using lifting technology, a linear periodic time-varying system is transformed into a linear periodic time-invariant system and the linear quadratic performance index of a linear periodic time-varying system is transformed into that of a linear periodic time-invariant system. Controllability and observability of transformed system are analyzed. An optimal state feedback control and an optimal output feedback control are given. The simulation results show that the optimal multirate control strategies proposed in this paper are feasible.