For the interconnected nonlinear systems with unknown nonsymmetric dead-zone nonlinearities and time-varying power drifts, this chapter studies their tracking control problems. Combining adaptive control technology with Lyapunov stability theory, an adaptive control strategy is developed. Unlike the existing results where the unknown power drifts and their boundaries are required to be positive odd numbers, the requirement or assumption has been relaxed, namely, it is required that the time-varying powers are bounded and unknown and their upper and lower boundaries are real numbers and do not have to be positive odd numbers in this chapter. Through theoretical analysis, it has been proven that the tracking error of any subsystem converges to a neighborhood of the origin. Finally, one simulation example demonstrates the availability of the strategy proposed in this chapter.

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Fault-Tolerant Adaptive Control Against Unknown Dead-Zone and Time-Varying Input Powers

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

摘要

For the interconnected nonlinear systems with unknown nonsymmetric dead-zone nonlinearities and time-varying power drifts, this chapter studies their tracking control problems. Combining adaptive control technology with Lyapunov stability theory, an adaptive control strategy is developed. Unlike the existing results where the unknown power drifts and their boundaries are required to be positive odd numbers, the requirement or assumption has been relaxed, namely, it is required that the time-varying powers are bounded and unknown and their upper and lower boundaries are real numbers and do not have to be positive odd numbers in this chapter. Through theoretical analysis, it has been proven that the tracking error of any subsystem converges to a neighborhood of the origin. Finally, one simulation example demonstrates the availability of the strategy proposed in this chapter.