A further result on global stabilization of oscillators with bounded delayed input
A further result on global stabilization of oscillators with bounded delayed input
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DOI：
10.1109/tac.2005.861709
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发表时间：
2005-06
期刊：
影响因子：
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通讯作者：
Haijun Fang;Zongli Lin
中科院分区：
文献类型：
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作者：
Haijun Fang;Zongli Lin
本文讨论了具有有界时滞输入的振子的全局镇定问题。它证明了即使在输入存在任意大的延迟的情况下，具有输入饱和的振荡器也可以通过线性反馈全局渐近镇定。这一结果加强了最近文献中的一个结果，该结果表明，当控制输入足够小时，这种振子可以全局渐近镇定，并且当时滞增加到无穷大时，控制输入的幅值趋于零。本文所构造的控制器充分利用了执行器的能力，提高了闭环系统的效率。
This paper revisits the problem of globally stabilizing an oscillator with bounded delayed input. It establishes that an oscillator with input saturation can be globally asymptotically stabilized by a linear feedback even in the presence of an arbitrarily large delay in the input. This result strengthens a recent result in the literature, which shows that such an oscillator can be globally asymptotically stabilized with a sufficiently small control input and the magnitude of the control input goes to zero as the delay increases to infinity. The controller constructed in this paper thus improves the efficiency of the closed-loop system by fully utilizing the actuator capacity.