In this article, the fuzzy H∞\mathcal {H}_{\infty } sliding mode control problem for continuous-time switched nonlinear systems is investigated. The switching signal conforms to the persistent dwell-time switching mechanism. The first objective of this article is to construct a switched integral sliding surface that not only accommodates the switched nonlinear model, but ensures that the sliding mode dynamics are globally uniformly exponentially stable and have an H∞\mathcal {H}_{\infty } performance by the equivalent controller derived from the sliding surface. Another aim is to integrate the switched sliding mode control law to force the system trajectories to the sliding surface in a finite amount of time. Then, on the basis of the Lyapunov function technique, the specific form of the sliding mode control law gains is given first, and later the finite-time reachability of the sliding surface is ensured. Finally, the validity of the proposed switched sliding mode control method is validated by a numerical example.

中文翻译：

---

持续停留时间切换非线性系统的模糊$\mathcal {H}_{\infty }$滑模控制


本文研究了连续时间切换非线性系统的模糊 H∞\mathcal {H}_{\infty } 滑模控制问题。切换信号符合持续停留时间切换机制。本文的第一个目标是构造一个切换积分滑模面，不仅适应切换非线性模型，而且确保滑模动力学全局一致指数稳定并且具有 H∞\mathcal {H}_{\infty }由滑动表面导出的等效控制器的性能。另一个目标是集成切换滑模控制律，以在有限时间内迫使系统轨迹到达滑模表面。然后，基于Lyapunov函数技术，首先给出滑模控制律增益的具体形式，并保证滑模面的有限时间可达性。最后，通过数值算例验证了所提出的切换滑模控制方法的有效性。