Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity☆
Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity☆
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DOI：
10.1016/j.chaos.2004.11.013
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发表时间：
2005-07
影响因子：
7.8
通讯作者：
Jun‐Juh Yan;K. Shyu;Jui-Sheng Lin
中科院分区：
文献类型：
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作者：
Jun‐Juh Yan;K. Shyu;Jui-Sheng Lin
研究了一类输入函数中存在死区非线性的不确定混沌系统的跟踪问题。基于李雅普诺夫稳定性定理和Barbalat引理，提出了一种自适应变结构控制器（AVSC），使得在控制输入存在死区的情况下仍能保证滑模的发生.另外值得注意的是，所提出的AVSC不涉及不确定性上限的信息。这样一来，必然解除了事先知道不确定性界的局限性。此外，在滑动模态中，所研究的不确定混沌系统保持不敏感的不确定性，并表现出类似的线性系统。最后，一个著名的Duffing-Holmes混沌系统被用来证明所提出的AVSC的可行性。
This paper addresses a practical tracking problem for a class of uncertain chaotic systems with dead-zone nonlinearity in the input function. Based on the Lyapunov stability theorem and Barbalat lemma, an adaptive variable structure controller (AVSC) is proposed to ensure the occurrence of the sliding mode even though the control input contains a dead-zone. Also it is worthy of note that the proposed AVSC involves no information of the upper bound of uncertainty. Thus, the limitation of knowing the bound of uncertainty in advance is certainly released. Furthermore, in the sliding mode, the investigated uncertain chaotic system remains insensitive to the uncertainty, and behaves like a linear system. Finally, a well-known Duffing–Holmes chaotic system is used to demonstrate the feasibility of the proposed AVSC.