Adaptive fuzzy backstepping output feedback control of nonlinear time-delay systems with unknown high-frequency gain sign

  • Authors:
  • Chang-Liang Liu;Shao-Cheng Tong;Yong-Ming Li;Yuan-Qing Xia

  • Affiliations:
  • Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, PRC 121001;Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, PRC 121001;Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, PRC 121001;Department of Automatic Control, Beijing Institute of Technology, Beijing, PRC 100081

  • Venue:
  • International Journal of Automation and Computing
  • Year:
  • 2011

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Abstract

In this paper, an adaptive fuzzy robust feedback control approach is proposed for a class of single-input and single-output (SISO) strict-feedback nonlinear systems with unknown nonlinear functions, time delays, unknown high-frequency gain sign, and without the measurements of the states. In the backstepping recursive design, fuzzy logic systems are employed to approximate the unknown smooth nonlinear functions, K-filters is designed to estimate the unmeasured states, and Nussbaum gain functions are introduced to solve the problem of unknown sign of high-frequency gain. By combining adaptive fuzzy control theory and adaptive backstepping design, a stable adaptive fuzzy output feedback control scheme is developed. It has been proven that the proposed adaptive fuzzy robust control approach can guarantee that all the signals of the closed-loop system are uniformly ultimately bounded and the tracking error can converge to a small neighborhood of the origin by appropriately choosing design parameters. Simulation results have shown the effectiveness of the proposed method.