Notice of Violation of IEEE Publication Principles After careful consideration by a duly constituted committee, an author of this article, Hamid Reza Karimi, was found to have acted in violation of the IEEE Principles of Ethical Publishing by artificially inflating the number of citations to this article. This paper addresses the issue of robust fuzzy sliding mode control for continuous-time nonlinear Takagi-Sugeno fuzzy systems with semi-Markovian switching. The focus is on designing a novel fuzzy integral sliding surface without assuming that the input matrices are the same with full column rank and then developing a fuzzy sliding-mode controller for stochastic stability purpose. Based on Lyapunov theory, a set of newly developed linear matrix inequality conditions are established for stochastic stability of the sliding-mode dynamics with generally uncertain transition rates, and then extended to where the input matrix is plant-rule-independent, as discussed in most existing literatures. Furthermore, finite-time reachability of the sliding surface is also guaranteed by the proposed fuzzy sliding-mode control laws. A practical example is provided to demonstrate the effectiveness of the established method numerically.

中文翻译：

---

违反 IEEE 出版原则的通知：非线性半马尔可夫跳跃 T__ 模糊系统的新型鲁棒模糊积分滑模控制


违反 IEEE 出版原则的通知 经过正式成立的委员会的仔细考虑，本文作者 Hamid Reza Karimi 被发现人为夸大本文的引用次数，违反了 IEEE 道德出版原则。本文解决了具有半马尔可夫切换的连续时间非线性 Takagi-Sugeno 模糊系统的鲁棒模糊滑模控制问题。重点是设计一种新颖的模糊积分滑模面，而不假设输入矩阵与全列秩相同，然后开发用于随机稳定性目的的模糊滑模控制器。基于李亚普诺夫理论，建立了一组新开发的线性矩阵不等式条件，用于具有通常不确定的转变率的滑模动力学的随机稳定性，然后扩展到输入矩阵与植物规则无关的情况，如大多数文献中所讨论的那样。现有文献。此外，所提出的模糊滑模控制律还保证了滑模面的有限时间可达性。给出了一个实际例子，从数值上证明了所建立方法的有效性。