Xia Jianwei, Wang Xueliang, Park Ju H, Xie Xiangpeng, Chen Guoliang
IEEE Trans Cybern. 2023 Sep;53(9):5755-5766. doi: 10.1109/TCYB.2022.3172503. Epub 2023 Aug 17.
This article addresses the adaptive fuzzy control problem for switched nonlinear systems with state constraints. The unified barrier function (UBF) is introduced to solve the time-varying state constraints, which removes the feasibility conditions. By integrating command filter into backstepping control to avoid the "explosion of complexity." In addition, a novel event-triggered strategy is designed to deal with the asynchronous switching between subsystems and controllers without limiting the maximum asynchronous time, and mitigate the communication burden. Also, a new threshold function is introduced to overcome the difficulty of discontinuous triggering error at the switching instants. Then, by combining the improved admissible edge-dependent average dwell-time (AED-ADT) method with Lyapunov stability analysis, it is proved that all system signals are bounded and do not violate the predefined constraints under given switching rule. Finally, the numerical simulation results verify the superiority of the proposed algorithm, and the algorithm is applied to a ship maneuvering system.
本文研究了具有状态约束的切换非线性系统的自适应模糊控制问题。引入统一障碍函数(UBF)来解决时变状态约束问题,消除了可行性条件。通过将指令滤波器集成到反步控制中以避免“复杂性爆炸”。此外,设计了一种新颖的事件触发策略来处理子系统与控制器之间的异步切换,且不限制最大异步时间,并减轻通信负担。还引入了一个新的阈值函数来克服切换时刻触发误差不连续的困难。然后,通过将改进的依赖于容许边的平均驻留时间(AED-ADT)方法与李雅普诺夫稳定性分析相结合,证明了在给定切换规则下,所有系统信号都是有界的,并且不会违反预定义的约束。最后,数值仿真结果验证了所提算法的优越性,并将该算法应用于船舶操纵系统。