4.8 Article

Adaptive Fuzzy Control for a Class of Stochastic Pure-Feedback Nonlinear Systems With Unknown Hysteresis

期刊

IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 24, 期 1, 页码 140-152

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2015.2446531

关键词

Adaptive fuzzy control; stochastic pure-feedback nonlinear systems; unknown direction hysteresis

资金

  1. National Natural Science Foundation of China [61573108, 61333013, 61273192, 61503223]
  2. Ministry of Education of New Century Excellent Talent [NCET-12-0637]
  3. Natural Science Foundation of Guangdong Province through the Science Fund for Distinguished Young Scholars [S20120011437]
  4. Ministry of Education of China [20124420130001]
  5. Shandong Province Higher Educational Science and Technology Program [J15LI09]

向作者/读者索取更多资源

This paper addresses the problem of adaptive fuzzy control for a class of stochastic pure-feedback nonlinear systems with unknown direction hysteresis. Compared with the existing researches on hysteresis problem, the stochastic disturbances and the unknown hysteresis are simultaneously considered in the pure-feedback systems. In addition, the hysteresis parameters as well as the direction of hysteresis are unknown. By introducing an auxiliary virtual controller and employing the new properties of Nuss-baum function, the major technique difficulty arising from the unknown direction hysteresis is overcome. Based on the fuzzy logic system's online approximation capability, a novel adaptive fuzzy control scheme is presented via the backstepping technique. It is shown that the proposed control scheme guarantees that all the signals of the closed-loop system are semiglobally uniformly bounded in probability, and the tracking error converges to a neighborhood of the origin in the sense of mean quantic value. Finally, simulation results further demonstrate the effectiveness of the proposed control scheme.

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