This study concentrates on the adaptive prescribed-time control of high-order nonlinear systems with actuator faults. Since the actual control signal of high-order nonlinear systems has a non-affine form, the existing results require that the bounds of time-varying actuator fault parameters be known. To break through the above limitation, the non-affine form of the actual control signal is solved in a linear manner, and novel adaptive estimations are designed. Moreover, fuzzy logic systems are adopted to approximate uncertain terms in control design. It is proved theoretically that the system states converge to zero within the prescribed time which can be set in advance, and all signals in the closed-loop system are bounded. Finally, the effectiveness of the proposed control scheme is certificated by a numerical simulation and a practical simulation of the electromechanical system.

中文翻译：

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执行器故障高阶非线性系统的自适应模糊规定时间控制

本研究集中于具有执行器故障的高阶非线性系统的自适应规定时间控制。由于高阶非线性系统的实际控制信号具有非仿射形式，现有结果要求时变执行器故障参数的界限是已知的。为了突破上述限制，以线性方式求解实际控制信号的非仿射形式，并设计了新颖的自适应估计。此外，在控制设计中采用模糊逻辑系统来逼近不确定项。理论上证明了系统状态在可预先设定的规定时间内收敛到零，并且闭环系统中的所有信号都是有界的。最后，通过数值仿真和机电系统的实际仿真验证了所提出控制方案的有效性。