Robust two-mode-dependent controller design for networked control systems with random delays modelled by Markov chains

Abstract

This paper focuses on the control problem of networked systems with Markovian delays existing on not only the feedback channel but also the forward channel. The resulting controller is thus two-mode dependent by making full use of the available delay information on both channels. Unlike the existing results by using the augmentation method for incorporating the two-channel Markovian delays into the closed-loop model, a prediction scheme is proposed to design a sequence of all possible two-mode dependent controller gains by efficiently solving the derived linear matrix inequalities and send them to the actuator. Depending on the actual delay on the forward channel, the appropriate controller gain will be implemented to drive the plant. Furthermore, the unavoidable uncertainties of the elements in the probability transition matrices are considered in the controller design. Simulation studies and comparisons demonstrate the effectiveness of efficiency of the proposed method.

Keywords:

• networked control systems (NCSs)
• Markov jump systems
• network-induced delay
• linear matrix inequalities (LMIs)

Acknowledgements

The authors wish to thank the associate editor and the anonymous reviewers for providing constructive suggestions which have improved the presentation of the this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Hui Zhang's work was supported in part by The National Science Foundation of China [grant number 61403252]; by the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning [number TP2014053]; and by Innovation Program of Shanghai Municipal Education Commission [number 15ZZ077].