Global adaptive control for uncertain nonaffine nonlinear hysteretic systems

Global adaptive control for uncertain nonaffine nonlinear hysteretic systems
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不确定非仿射非线性迟滞系统的全局自适应控制

DOI:
10.1016/j.isatra.2015.06.010
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发表时间:
2015
期刊:
影响因子:
7.3
通讯作者:
Yong Guo
Yong Guo
中科院分区:
计算机科学2区
文献类型:
--
作者:
Yong-Hua Liu;Liangpei Huang;Dongming Xiao;Yong Guo

文献摘要

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本文研究了一类具有非仿射结构的不确定非线性迟滞系统的全局输出跟踪。通过将磁滞模型的解特性与新颖的反步方法相结合,开发了一种鲁棒的自适应控制算法,而无需构造磁滞逆。所提出的控制方案被进一步修改,以通过自适应估计边界来解决有界扰动。严格证明所设计的自适应控制器能够保证闭环系统的全局稳定性。提供了两个数值例子来显示所提出的控制方案的有效性。
In this paper, the global output tracking is investigated for a class of uncertain nonlinear hysteretic systems with nonaffine structures. By combining the solution properties of the hysteresis model with the novel backstepping approach, a robust adaptive control algorithm is developed without constructing a hysteresis inverse. The proposed control scheme is further modified to tackle the bounded disturbances by adaptively estimating their bounds. It is rigorously proven that the designed adaptive controllers can guarantee global stability of the closed-loop system. Two numerical examples are provided to show the effectiveness of the proposed control schemes.