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Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay

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  • Control Theory
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Abstract

In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l 2 gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l 2 gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.

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Author information

Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi, 214122, P. R. China

    Jiwei Wen & Li Peng

  2. Department of Electrical and Computer Engineering, University of Auckland, Private Bag, Auckland, 92019, New Zealand

    Sing Kiong Nguang

Authors
  1. Jiwei Wen
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  2. Li Peng
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Corresponding author

Correspondence to Jiwei Wen.

Additional information

Recommended by Associate Editor Izumi Masubuchi under the direction of Editor Zengqi Sun.

This project is jointly supported by NSFC (61203126), NSFC (61374047), 111 Project (B12018) and self-determined research program of Jiangnan University (JUSRP11233).

Jiwei Wen received his B.E. degree in Industrial Automation from Nantong Institute of Technology, Nantong, China, in 2003 and his Ph.D. degree in Control Science and Control Engineering from Jiangnan University, Wuxi, China, in 2011. Currently, he is an associate professor of School of Internet of Things Engineering, Jiangnan University, Wuxi, China. His research interests include hybrid system, networkbased system, receding horizon control and filtering, fuzzy modeling and control. He is an Associate Editor of the International Journal of Sensors, Wireless Communications and Control.

Li Peng is a professor of the School of IoT Engineering in Jiangnan University in China and a Ph.D. student supervisor. His Ph.D. degree was received from the School of Information Engineering, University of Sci. & Tech. Beijing in 2002. His master degree was got from the Department of Automatic Control, Northeastern University in 1996. His bachelor degree was obtained from Automation department of Hebei Polytechnic University in 1989. Now He is a member of Chinese Computer Association, and also Chinese Artificial Intelligent Association. His research interests are computer simulation, intelligent control and visual wireless sensor network.

Sing Kiong Nguang received his B.E. (with first class honors) and Ph.D. degrees from the Department of Electrical and Computer Engineering of the University of Newcastle, Callaghan, Australia, in 1992 and 1995, respectively. Currently, he is with the Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand. He has published over 200 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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Wen, J., Peng, L. & Nguang, S.K. Finite-time control for discrete-time Markovian jump systems with deterministic switching and time-delay. Int. J. Control Autom. Syst. 12, 473–485 (2014). https://doi.org/10.1007/s12555-013-0397-x

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  • DOI: https://doi.org/10.1007/s12555-013-0397-x

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