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For interconnected nonlinear systems being subject to unknown time delays, faults and backlash-like hystersis, their tracking control is discussed in this chapter. Combining adaptive control and sliding mode control, by using the function approximation capabilities of fuzzy logic systems, an adaptive fuzzy fault-tolerant tracking control scheme is constructed, where supervisory control strategy is applied to guarantee that system states are bounded and within compact sets. Furthermore, the classical assumptions or conditions about the hystersis and disturbance have been weakened or even canceled in the scheme. By theoretical analysis, it has been proven that the closed-loop system is asymptotically stable and tracking errors converge to zero. The effectiveness of the scheme is demonstrated by simulation results.

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Fuzzy-Logic-Systems-Based Decentralized Fault-Tolerant Adaptive Control Against Unknown Time Delays and Backlash-Like Hysteresis

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  • 发表日期：

    2026年

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  • Qikun Shen,
  • Jiyu Zhu,
  • Jianye Gong,
  • Yadong Yang

摘要

For interconnected nonlinear systems being subject to unknown time delays, faults and backlash-like hystersis, their tracking control is discussed in this chapter. Combining adaptive control and sliding mode control, by using the function approximation capabilities of fuzzy logic systems, an adaptive fuzzy fault-tolerant tracking control scheme is constructed, where supervisory control strategy is applied to guarantee that system states are bounded and within compact sets. Furthermore, the classical assumptions or conditions about the hystersis and disturbance have been weakened or even canceled in the scheme. By theoretical analysis, it has been proven that the closed-loop system is asymptotically stable and tracking errors converge to zero. The effectiveness of the scheme is demonstrated by simulation results.