区间2型模糊系统的鲁棒动态滑模控制设计

R. Kavikumar, B. Kaviarasan, Yonggwon Lee, O. Kwon, R. Sakthivel, Seong-Gon Choi
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引用次数: 3

摘要

本文讨论了带不确定性、时滞和外部干扰的区间2型模糊系统的动态滑模镇定问题。在控制设计过程中使用基于系统状态和控制输入向量的滑动曲面函数。通过定义一个增加系统状态和控制向量的新向量来描述滑模动力学。首先,证明了寻址滑模表面的可达性。其次,利用扩展耗散理论和非对称Lyapunov-Krasovskii泛函方法推导了系统稳定的充分条件和所提出的控制设计。与现有的一些滑模控制设计不同,本文提出的滑模控制设计不要求所有线性子系统的控制系数矩阵相同,降低了方法的保守性。最后,通过数值算例验证了所提设计方法的可行性和优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Robust dynamic sliding mode control design for interval type-2 fuzzy systems
This paper discusses the problem of stabilization of interval type-2 fuzzy systems with uncertainties, time delay and external disturbance using a dynamic sliding mode controller. The sliding surface function, which is based on both the system's state and control input vectors, is used during the control design process. The sliding mode dynamics are presented by defining a new vector that augments the system state and control vectors. First, the reachability of the addressed sliding mode surface is demonstrated. Second, the required sufficient conditions for the system's stability and the proposed control design are derived by using extended dissipative theory and an asymmetric Lyapunov-Krasovskii functional approach. Unlike some existing sliding mode control designs, the one proposed in this paper does not require the control coefficient matrices of all linear subsystems to be the same, reducing the method's conservatism. Finally, numerical examples are provided to demonstrate the viability and superiority of the proposed design method.
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