Robust H∞ control for a class of discrete time fuzzy systems via delta operator approach

  • Authors:

  • Hongjiu Yang;Peng Shi;Jinhui Zhang;Jiqing Qiu

  • Affiliations:

  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, United Kingdom and School of Engineering and Science, Victoria University, Melbourne, 8001 VIC, Aus ...;College of Information Science & Technology, Beijing University of Chemical Technology, Beijing 100029, China;College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

In this paper, we investigate a robust H"~ control problem for a class of T-S fuzzy systems with time delays by using delta operator approach. It is known that a better control effect can be obtained by using delta operator approach than using shift operator approach for small sampling periods. Furthermore, the delta operator can unify some previous related continuous and discrete fuzzy systems into fuzzy delta operator system framework. Based on Lyapunov-Krasovskii functionals in delta domain, a new fuzzy H"~ state feedback controller is presented in terms of linear matrix inequalities. Some experiment results of an ball and beam model on a laboratory-scale setup are presented to illustrate the effectiveness and potential for the developed techniques.