Sui Shuai, Tong Shaocheng
IEEE Trans Cybern. 2023 Apr;53(4):2506-2515. doi: 10.1109/TCYB.2021.3123377. Epub 2023 Mar 16.
In this article, an adaptive fault-tolerant control (FTC) method and a fractional-order dynamic surface control (DSC) algorithm are jointly proposed to deal with the stabilization problem for a class of multiple-input-multiple-output (MIMO) switched fractional-order nonlinear systems with actuator faults and arbitrary switching. In each MIMO subsystem and each switched subsystem, the neural networks (NNs) are utilized to identify the complicated unknown nonlinearities. A fractional filter DSC technology is adopted to conquer the issue of "explosion of complexity," which may occur when some functions are repeatedly derived. The common Lyapunov function method is used to restrain arbitrary switching problems in the system, and the actuator compensation technique is introduced to tackle the failure faults and bias faults in the actuators. By combining the backstepping DSC design technique and fractional-order stability theory, a novel NN adaptive switching FTC algorithm is proposed. Under the operation of the proposed algorithm, the stability and control performance of the fractional-order systems can be guaranteed. Finally, a simulation example of a permanent magnet synchronous motor (PMSM) system reveals the feasibility and effectiveness of the developed scheme.
本文联合提出一种自适应容错控制（FTC）方法和分数阶动态面控制（DSC）算法，以解决一类具有执行器故障和任意切换的多输入多输出（MIMO）切换分数阶非线性系统的镇定问题。在每个MIMO子系统和每个切换子系统中，利用神经网络（NN）来辨识复杂的未知非线性。采用分数阶滤波器DSC技术来克服在某些函数反复求导时可能出现的“复杂性爆炸”问题。使用共同Lyapunov函数方法来抑制系统中的任意切换问题，并引入执行器补偿技术来解决执行器中的故障和偏差故障。通过结合反步DSC设计技术和分数阶稳定性理论，提出了一种新颖的NN自适应切换FTC算法。在所提算法的运行下，可以保证分数阶系统的稳定性和控制性能。最后，永磁同步电机（PMSM）系统的仿真示例揭示了所开发方案的可行性和有效性。
