Yan Yan, Jin Tianyu, Yu Xinghuo, Yu Shuanghe, Guo Ge
IEEE Trans Cybern. 2025 Jul;55(7):3356-3367. doi: 10.1109/TCYB.2025.3553898.
This article studies event-triggered nonsingular terminal sliding-mode control (TSMC) for a class of nonlinear systems. First, a static event-triggering mechanism is implemented in the nonsingular TSMC design. It is shown that the sliding variable can reach the quasi-sliding-mode band and the states can converge to a neighborhood of the equilibrium dependent on the threshold of the event-triggering mechanism. Second, by taking advantage of the internal variable, a dynamic event-triggering mechanism is developed for the nonsingular TSMC design. Compared to the static event-triggered nonsingular TSMC, the designed dynamic event-triggered nonsingular TSMC strategy can reduce the number of events while maintaining the same upper bounds of quasi-sliding-mode and steady states. It is further shown that both event-triggered nonsingular TSMC systems have no Zeno behavior. Finally, simulation results are given to demonstrate the effectiveness of the theoretical results.
本文研究了一类非线性系统的事件触发非奇异终端滑模控制（TSMC）。首先，在非奇异TSMC设计中实现了一种静态事件触发机制。结果表明，滑模变量能够到达准滑模带，并且状态可以根据事件触发机制的阈值收敛到平衡点的一个邻域。其次，利用内部变量，为非奇异TSMC设计开发了一种动态事件触发机制。与静态事件触发非奇异TSMC相比，所设计的动态事件触发非奇异TSMC策略在保持准滑模和稳态相同上界的同时，可以减少事件的数量。进一步表明，两种事件触发非奇异TSMC系统均不存在芝诺行为。最后，给出了仿真结果以证明理论结果的有效性。
