不确定非线性量化系统致动器故障的开关自适应补偿

Can Li, Jie Lian, Hongwei Wang
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摘要

研究了不确定非线性系统在执行器失效和输入量化情况下的自适应补偿问题。提出了一种新的开关容错控制器,该控制器的驻留时间以执行器组完全失效(TLOE)前的最小时间长度和执行器组从TLOE模式恢复所需的最大时间长度为界。通过估计所有活动时间的故障参数的最小值,允许每个执行器的故障出现无限次。利用参数投影算子保证了不同执行器组在切换时刻的跳跃大小(可调)的有界性。在设计的控制器和开关信号的作用下,系统的输出跟踪误差可以被驱动到原点的可调邻域。最后通过数值算例验证了该方法的有效性。
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Switching Adaptive Compensation for Actuator Failures of Uncertain Nonlinear Systems with Quantized Input
This paper investigates the adaptive compensation for an uncertain nonlinear system with actuator failures and input quantization. A new switching fault-tolerant controller is proposed based on the dwell time bounded by the minimal time length before total loss of effectiveness (TLOE) of an actuator group and the maximal time length spending for an actuator group recovering from TLOE mode. By estimating the infimum of the fault parameters for all active times, the fault for each actuator is allowed to appear infinite many times. The boundedness of the (adjustable) jump size of Lyapunov functions for different actuator groups at switching instants is guaranteed by exploiting the parameter projection operator. Under the designed controller and switching signal, the output tracking error of the system can be driven to a tunable neighborhood of the origin. The proposed method is validated by a numerical example at last.
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