This paper investigates the problem of adaptive integral sliding mode control for general Takagi–Sugeno fuzzy systems with matched uncertainties and its applications. Different control input matrices are allowed in fuzzy systems. The matched uncertainty is modeled in a unified form, which can be handled by the adaptive methodology. A fuzzy integral-type sliding surface is utilized and the parameter matrices can be determined according to user's requirement. Based on the designed sliding surface, a new sliding mode controller is proposed, and the structure of the controller depends on the difference between the disturbance input matrices and the control input matrices. It is shown that under the proposed sliding mode controller, the resulting closed-loop system can achieve the uniformly ultimate boundedness. Furthermore, simulation examples are presented to show the merit and applicability of the proposed fuzzy sliding mode control method.

中文翻译：

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Takagi-Sugeno模糊系统的自适应滑模控制及其应用

本文研究了具有匹配不确定性的一般 Takagi-Sugeno 模糊系统的自适应积分滑模控制问题及其应用。模糊系统中允许使用不同的控制输入矩阵。匹配的不确定性以统一的形式建模，可以通过自适应方法处理。利用模糊积分型滑动面，可根据用户要求确定参数矩阵。基于设计的滑动面，提出了一种新的滑模控制器，控制器的结构取决于扰动输入矩阵和控制输入矩阵之间的差异。结果表明，在提出的滑模控制器下，由此产生的闭环系统可以达到一致的极限有界。此外，