This article focuses on the decentralized adaptive fuzzy fixed-time fault-tolerant control issue for the error-constrained interconnected nonlinear systems with unknown actuator faults possessing dead zone. The unknown nonlinear functions can be modeled via fuzzy logic systems. By utilizing the parameter estimation method, the effect of unknown actuator faults possessing dead zone can be compensated. To guarantee the predefined dynamic performance of state tracking errors, the barrier Lyapunov functions and prescribed performance functions are introduced. Then, a dual-performance fault-tolerant control method that can guarantee fast transient performance and predefined performance of state tracking errors is proposed via using the decentralized backstepping technique. In addition, on the basis of the Lyapunov stability theory and the fixed-time criterion, it is proved that the predefined performance of full-state errors and the stability of closed-loop systems can be guaranteed. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed control scheme.

中文翻译：

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互联非线性系统的自适应模糊双性能容错控制

本文重点研究具有死区未知执行器故障的误差约束互连非线性系统的分散自适应模糊固定时间容错控制问题。未知的非线性函数可以通过模糊逻辑系统建模。利用参数估计方法，可以补偿具有死区的未知执行器故障的影响。为了保证状态跟踪误差的预定义动态性能，引入了势垒李雅普诺夫函数和规定性能函数。然后，通过使用分散的反步技术，提出了一种能够保证快速瞬态性能和状态跟踪误差的预定义性能的双性能容错控制方法。此外，基于李雅普诺夫稳定性理论和固定时间判据，证明了全状态误差的预定义性能和闭环系统的稳定性是可以保证的。最后，提供了两个数值例子来说明所提出的控制方案的有效性。