Volume 8 Number 1
February 2011
Article Contents
Chang-Liang Liu, Shao-Cheng Tong, Yong-Ming Li and Yuan-Qing Xia. Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign. International Journal of Automation and Computing, vol. 8, no. 1, pp. 14-22, 2011. doi: 10.1007/s11633-010-0549-x
Cite as: Chang-Liang Liu, Shao-Cheng Tong, Yong-Ming Li and Yuan-Qing Xia. Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign. International Journal of Automation and Computing, vol. 8, no. 1, pp. 14-22, 2011. doi: 10.1007/s11633-010-0549-x

Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign

Author Biography:
  • Chang-Liang Liu graduated with a major in mathematics education and ap-plied mathematics from Shandong Educa-tion College,Ji nan,PRC in 2003.

  • Corresponding author: Shao-Cheng Tonggraduated from Jinzhou Normal College,PRC in 1982
  • Received: 2009-11-30
Fund Project:

supported by National Natural Science Foundation of China (No.61074014);the Outstanding Youth Funds of Liaoning Province (No.2005219001);Educational Department of Liaoning Province (No.2006R29, No.2007T80)

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Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign

  • Corresponding author: Shao-Cheng Tonggraduated from Jinzhou Normal College,PRC in 1982
Fund Project:

supported by National Natural Science Foundation of China (No.61074014);the Outstanding Youth Funds of Liaoning Province (No.2005219001);Educational Department of Liaoning Province (No.2006R29, No.2007T80)

Abstract: In this paper, an adaptive fuzzy robust feedback control approach is proposed for a class of single-input and singleoutput (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.

Chang-Liang Liu, Shao-Cheng Tong, Yong-Ming Li and Yuan-Qing Xia. Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign. International Journal of Automation and Computing, vol. 8, no. 1, pp. 14-22, 2011. doi: 10.1007/s11633-010-0549-x
Citation: Chang-Liang Liu, Shao-Cheng Tong, Yong-Ming Li and Yuan-Qing Xia. Adaptive Fuzzy Backstepping Output Feedback Control of Nonlinear Time-delay Systems with Unknown High-frequency Gain Sign. International Journal of Automation and Computing, vol. 8, no. 1, pp. 14-22, 2011. doi: 10.1007/s11633-010-0549-x
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