Quantization, time delays, and nonlinear stabilization
Quantization, time delays, and nonlinear stabilization
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DOI：
10.1109/tac.2006.878780
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发表时间：
2006-07
影响因子：
6.8
通讯作者：
D. Liberzon
中科院分区：
文献类型：
--
作者：
D. Liberzon
本文的目的是通过将作者最近发展的量化反馈控制方法和Teel早先提出的分析带有扰动的泛函微分方程的小增益方法相结合，来证明统一研究非线性控制系统中的量化和时滞效应是可能的。证明了在满足一定条件的量化和时滞存在的条件下，在鲁棒镇定反馈控制器的作用下，闭环系统的解在给定的区域内开始是有界的，最终进入一个较小的区域。我们给出了这一结果的几个版本，并展示了它如何通过动态量化策略实现全局渐近镇定。
The purpose of this note is to demonstrate that a unified study of quantization and delay effects in nonlinear control systems is possible by merging the quantized feedback control methodology recently developed by the author and the small-gain approach to the analysis of functional differential equations with disturbances proposed earlier by Teel. We prove that under the action of a robustly stabilizing feedback controller in the presence of quantization and time delays satisfying suitable conditions, solutions of the closed-loop system starting in a given region remain bounded and eventually enter a smaller region. We present several versions of this result and show how it enables global asymptotic stabilization via a dynamic quantization strategy.