一类不确定多时滞系统的指数稳定滑模方法

Tung-Sheng Chiang, Pingfang Wu
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引用次数: 2

摘要

针对一类多时滞不确定非线性系统,提出了一种自适应模糊滑模控制方法。所提出的控制方案即使考虑了不匹配的不确定性和未知延迟,也能保证滑模达到指数稳定。与传统方案相比,该方法将稳定性分析转化为一个与各时滞无关但已知时滞上界的LMI问题。注意,不确定动力学不是标准形式。然而,基于Lyapunov-Krasovskii方法可以推导出新的滑动面设计。然后,提出了一种基于smc的自适应模糊控制方案来实现系统的渐近稳定。结合自适应模糊算法,可以有效地减少抖振现象。并对模糊隶属函数进行了在线调整。该控制器的优点是能使系统状态渐近收敛于零,并能减轻系统状态在零附近时的抖振现象。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exponentially Stable Sliding Mode Based Approach for a Class of Uncertain Multi-Time-Delay Systems
This paper presents an adaptive fuzzy sliding mode control for a class of uncertain nonlinear systems with multiple time delays. The proposed control scheme guarantees to achieve an exponentially stable sliding surface even if mismatched uncertainty and unknown delays are considered. Compared to traditional schemes, the stability analysis is transformed into an LMI problem independent of each delay but a known upper bound of delay. Note that the uncertain dynamics is not canonical form. However, the novel sliding surface design can be derived based on the Lyapunov-Krasovskii method. Then, an SMC-based adaptive fuzzy control scheme is proposed to achieve asymptotic stability. Combined with the adaptive fuzzy algorithm, the chattering phenomenon will be reduced effectively. Moreover, the fuzzy membership functions are tuned on-line. The advantages of the proposed controller are to drive the states to converge to zero asymptotically and to alleviate the chattering phenomenon when the states are around zero.
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