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Robust H ∞ state feedback control of NCSs with Poisson noise and successive packet dropouts

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  • Control Theory
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Abstract

This paper examines various constraints of networked control systems (NCSs) such as network-induced random delays, successive packet dropouts and Poisson noise. Time delays are represented as modes of Markov chain and successive packet dropouts are modeled using Poisson probability distribution. For each delay-mode, a separate Poisson distribution is used with the help of an indicator function. Poisson noise is incorporated in the design to cater sudden network link failures and power shutdowns. After modeling these constraints, a stability criterion is proposed by using Lyapunov-Krasovskii functional. On the basis of the stability criteria, sufficient conditions for the existence of a robust H ∞ state feedback controller are given in terms of bilinear matrix inequalities (BMIs). Later, BMIs are converted into quasi-convex linear matrix inequalities (LMIs) and are solved by using a cone complementarity linearizing algorithm. The effectiveness of the proposed scheme is elaborated with the help of two simulation examples. Moreover, the effects of successive packet dropouts and Poisson noise on H ∞ performance are analyzed.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Auckland, Private Bag 92019, Auckland City, New Zealand

    Faiz Rasool & Sing Kiong Nguang

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  1. Faiz Rasool
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  2. Sing Kiong Nguang
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Correspondence to Faiz Rasool.

Additional information

Faiz Rasool received his B.E degree (with first class honors) from CIIT, Pakistan, his M.E. (with first class honors) and Ph.D. degrees from the Department of Electrical and Computer Engineering of the University of Auckland, New Zealand. At the moment, he is the program leader Engineering department, Queens Academic Group, Auckland, New Zealand. He has published over 24 refereed journal and conference papers on Networked control systems, time-delayed systems, Event- triggered control and fuzzy modeling and control.

Sing Kiong Nguang received his B.E. (with first class honors) and his Ph.D. degree from the Department of Electrical and Computer Engineering of the University of Newcastle, Callaghan, Australia, in 1992 and 1995, respectively. Currently, he is a chair professor at the Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand. He has published over 250 refereed journal and conference papers on nonlinear control design, nonlinear control systems, nonlinear time-delay systems, nonlinear sampled-data systems, biomedical systems modeling, fuzzy modeling and control, biological systems modeling and control, and food and bioproduct processing. He has/had served on the editorial board of a number of international journals. He is the Chief-Editor of the International Journal of Sensors, Wireless Communications and Control.

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Rasool, F., Nguang, S.K. Robust H ∞ state feedback control of NCSs with Poisson noise and successive packet dropouts. Int. J. Control Autom. Syst. 13, 45–57 (2015). https://doi.org/10.1007/s12555-013-0139-0

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  • DOI: https://doi.org/10.1007/s12555-013-0139-0

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