Global Stabilization of Multiple Oscillator Systems by Delayed and Bounded Feedback

Global Stabilization of Multiple Oscillator Systems by Delayed and Bounded Feedback
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通过延迟和有界反馈实现多振荡器系统的全局稳定

DOI:
10.1109/tcsii.2016.2599015
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发表时间:
2017-05
影响因子:
4.4
通讯作者:
Lam James
Lam James
中科院分区:
工程技术2区
文献类型:
--
作者:
Yang Xuefei;Zhou Bin;Lam James

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研究了多振子系统的有界时滞控制全局镇定问题。基于所考虑系统的一种特殊标准型,提出了一种由嵌套饱和函数组成的非线性控制律,以实现系统的全局镇定。本简报中使用的新的特殊规范形式不仅包含输入中的时间延迟,而且包含其状态中的时间延迟,这会导致自然抵消,不仅有助于提供保证闭环系统全局稳定的显式条件,而且还有助于改善闭环系统的瞬态性能显着。所提出的反馈律也被采用,以实现限制跟踪。数值仿真结果表明了该方法的有效性。
The problem of global stabilization for the multiple oscillator systems by bounded and delayed controls is considered. Based on a special canonical form of the considered system, a nonlinear control law consisting of nested saturation functions is proposed to achieve global stabilization. The new special canonical form used in this brief contains not only time delay in the input but also time delays in its state, which leads to natural cancellation and helps to not only provide explicit conditions guaranteeing the global stability of the closed-loop systems but also improves the transient performance of the closed-loop system significantly. The proposed feedback law is also adopted to achieve restricted tracking. A numerical simulation is given to illustrate the effectiveness of the proposed method.
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