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Sliding-mode Control for Fuzzy Singular Systems with Time-delay Based on Vector Integral Sliding Mode Surface
IEEE Transactions on Fuzzy Systems ( IF 11.9 ) Pub Date : 2020-04-01 , DOI: 10.1109/tfuzz.2019.2916049
Yi Zhang , Qingling Zhang , Jianyu Zhang , Yingying Wang

This article studies the sliding mode control (SMC) of a class of Takagi–Sugeno (T–S) fuzzy singular systems with matched external disturbances. The key advantage of this article is that the input matrices of the considered fuzzy systems could be different, and a novel SMC provided in this article has strong robustness. In this article, systems with delayed state are considered. The time delay is a known constant, and the full state vector is available for feedback. At first, a new sliding mode surface, vector integral sliding mode surface, is proposed. By use of this surface, the stabilization problem for some T–S fuzzy singular systems with different input matrices can be settled. Second, a new SMC law is provided to avoid the state of the considered fuzzy system escaping from every subsliding mode surface. Finally, two examples are provided to verify the validity of the method proposed in this article.

中文翻译:

基于矢量积分滑模面的时滞模糊奇异系统的滑模控制

本文研究了一类具有匹配外部扰动的 Takagi-Sugeno (T-S) 模糊奇异系统的滑模控制 (SMC)。本文的关键优势在于所考虑的模糊系统的输入矩阵可能不同,并且本文提供的新型 SMC 具有很强的鲁棒性。在本文中,考虑具有延迟状态的系统。时间延迟是一个已知常数,完整的状态向量可用于反馈。首先,提出了一种新的滑模面——矢量积分滑模面。利用这个曲面,可以解决一些具有不同输入矩阵的 T-S 模糊奇异系统的镇定问题。其次,提供了一个新的 SMC 定律来避免所考虑的模糊系统的状态从每个滑移模态表面逸出。最后,
更新日期:2020-04-01
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