This article is concerned with the issue of quantized sliding-mode control (SMC) design methodology for nonlinear stochastic switching systems subject to semi-Markovian switching parameters, T-S fuzzy strategy, uncertainty, signal quantization, and nonlinearity. Compared with the previous literature, the quantized control input is first considered in studying T-S fuzzy stochastic switching systems with a semi-Markovian process. A mode-independent sliding surface is adopted to avoid the potential repetitive jumping effects. Then, by means of the Lyapunov function, stochastic stability criteria are proposed to be dependent of sojourn time for the corresponding sliding-mode dynamics. Furthermore, the fuzzy-model-based SMC law is proposed to ensure the finite-time reachability of the sliding-mode dynamics. Finally, an application example of a modified series dc motor model is provided to demonstrate the effectiveness of the theoretical findings.

中文翻译：

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具有半马尔可夫过程的量化非线性随机切换系统的模糊SMC及其应用。

本文关注的是受半马尔可夫切换参数，TS模糊策略，不确定性，信号量化和非线性影响的非线性随机切换系统的量化滑模控制（SMC）设计方法论问题。与以前的文献相比，在研究具有半马尔可夫过程的TS模糊随机切换系统时，首先考虑了量化控制输入。采用与模式无关的滑动表面，以避免潜在的重复跳跃效应。然后，利用李雅普诺夫函数，提出了对应于滑模动力学的随机稳定性准则，其依赖于停留时间。此外，提出了基于模糊模型的SMC定律，以确保滑模动力学的有限时间可达性。最后，