Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction

  • Authors:

  • Chang-Chun Hua;Qing-Guo Wang;Xin-Ping Guan

  • Affiliations:

  • Institute of Electrical Engineering, Yanshan University, Qinhuangdao City, China and Mathematics Research Center of Hebei Province, Shijiazhuang, China;Department of Electrical and Computer Engineering, National University of Singapore, Singapore;Institute of Electrical Engineering, Yanshan University, Qinhuangdao City, China

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 2009

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Abstract

In this paper, the robust-control problem is investigated for a class of uncertain nonlinear time-delay systems via dynamic output-feedback approach. The considered system is in the strict-feedback form with unknown control direction. A full-order observer is constructed with the gains computed via linear matrix inequality at first. Then, with the bounds of uncertain functions known, we design the dynamic output-feedback controller such that the closed-loop system is asymptotically stable. Furthermore, when the bound functions of uncertainties are not available, the adaptive fuzzy-logic system is employed to approximate the uncertain function, and the corresponding output-feedback controller is designed. It is shown that the resulting closed-loop system is stable in the sense of semiglobal uniform ultimate boundedness. Finally, simulations are done to verify the feasibility and effectiveness of the obtained theoretical results.