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Universal Fuzzy Integral Sliding-Mode Controllers Based on T–S Fuzzy Models

机译：基于TS模糊模型的通用模糊积分滑模控制器

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摘要

This paper addresses the universal fuzzy integral sliding-mode controllers’ problem for continuous-time multi-input multi-output nonlinear systems based on Takagi–Sugeno (T–S) fuzzy models. By using the approximation capability of T–S fuzzy models, the nonlinear systems are expressed by uncertain T–S fuzzy models with norm-bounded approximation errors. A novel fuzzy dynamic integral sliding-mode control (DISMC) scheme is then developed for the nonlinear systems based on their T–S fuzzy approximation models. One of the key features of the new DISMC scheme is that the restrictive assumption that all local linear systems share a common input matrix, which is required in most existing fuzzy integral sliding-mode control (ISMC) approaches, is removed. Furthermore, the results of universal fuzzy ISMCs for two classes of nonlinear systems, along with constructive procedures to obtain the universal fuzzy ISMCs, are provided, respectively. Finally, the advantages and effectiveness of the proposed approaches are illustrated via a numerical example.
机译：本文针对基于Takagi–Sugeno（TS）模糊模型的连续时间多输入多输出非线性系统，解决了通用模糊积分滑模控制器问题。通过使用TS模糊模型的逼近能力，非线性系统由不确定的TS模糊模型表示，它们具有范数界的逼近误差。然后，基于非线性系统的TS模糊近似模型，为非线性系统开发了一种新颖的模糊动态积分滑模控制（DISMC）方案。新的DISMC方案的关键特征之一是，消除了所有局部线性系统共享一个公共输入矩阵的限制性假设，这是大多数现有的模糊积分滑模控制（ISMC）方法所要求的。此外，分别提供了两类非线性系统的通用模糊ISMC的结果，以及获得通用模糊ISMC的构造过程。最后，通过数值例子说明了所提出方法的优点和有效性。

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