This paper addresses the robust stabilization problem for T-S fuzzy stochastic descriptor systems using an integral sliding mode control paradigm. A classical integral sliding mode control scheme and a nonparallel distributed compensation (Non-PDC) integral sliding mode control scheme are presented. It is shown that two restrictive assumptions previously adopted developing sliding mode controllers for Takagi-Sugeno (T-S) fuzzy stochastic systems are not required with the proposed framework. A unified framework for sliding mode control of T-S fuzzy systems is formulated. The proposed Non-PDC integral sliding mode control scheme encompasses existing schemes when the previously imposed assumptions hold. Stability of the sliding motion is analyzed and the sliding mode controller is parameterized in terms of the solutions of a set of linear matrix inequalities which facilitates design. The methodology is applied to an inverted pendulum model to validate the effectiveness of the results presented.

中文翻译：

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基于积分滑模的 T__ 模糊随机描述系统的鲁棒镇定


本文使用积分滑模控制范式解决了 TS 模糊随机描述符系统的鲁棒稳定性问题。提出了经典的积分滑模控制方案和非并行分布式补偿(Non-PDC)积分滑模控制方案。结果表明，所提出的框架不需要先前为 Takagi-Sugeno (TS) 模糊随机系统开发滑模控制器时采用的两个限制性假设。制定了TS模糊系统滑模控制的统一框架。当先前施加的假设成立时，所提出的非 PDC 积分滑模控制方案包含现有方案。分析了滑动运动的稳定性，并根据一组线性矩阵不等式的解对滑模控制器进行了参数化，以方便设计。该方法应用于倒立摆模型，以验证所提供结果的有效性。