Adaptive stabilization of uncertain unified chaotic systems with nonlinear input
Adaptive stabilization of uncertain unified chaotic systems with nonlinear input
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DOI：
10.1016/j.amc.2011.09.056
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发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
Zhengqiang Zhang;Hao Shen;Junling Li
中科院分区：
文献类型：
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作者：
Zhengqiang Zhang;Hao Shen;Junling Li
研究了具有非线性输入的不确定统一混沌系统的自适应镇定问题。首先建立了非线性输入函数的一种新表示形式，即时变系数有界的线性输入。然后，提出了一种基于新的非线性输入模型的自适应控制方案。利用Barbalat引理，证明了在系统不确定性、外部干扰和输入非线性的情况下，闭环系统的渐近稳定性。该设计方法的优点之一是不需要关于对象参数、不确定性边界参数和扇形非线性内的斜率参数的先验知识。最后，数值模拟进行验证分析结果。
This paper addresses the problem of adaptive stabilization of uncertain unified chaotic systems with nonlinear input in the sector form. A novel representation of nonlinear input function, that is, a linear input with bounded time-varying coefficient, is firstly established. Then, an adaptive control scheme is proposed based on the new nonlinear input model. By using Barbalat’s lemma, the asymptotic stability of the closed-loop system is proved in spite of system uncertainties, external disturbance and input nonlinearity. One of the advantages of the proposed design method is that the prior knowledge on the plant parameter, the bound parameters of the uncertainties and the slope parameters inside the sector nonlinearity is not required. Finally, numerical simulations are performed to verify the analytical results.