| ON LIMITATIONS OF THE SAMPLED—DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS |
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| 引用本文： | XUEFeng GUOLei. ON LIMITATIONS OF THE SAMPLED—DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS[J]. 系统科学与复杂性, 2002, 15(3): 225-250 |
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| 作者姓名： | XUEFeng GUOLei |
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| 作者单位： | Institute of Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China and the National Key Project of China. |
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| 摘 要： | In this paper, we study a basic class of first order sampled-data control systems with unknown nonlinear structure and with sampling rate not necessarily fast enough, aiming at understanding the capability and limitations of the sampled-data feedback. We show that if the unknown nonlinear function has a linear growth rate with its "slope" (denoted by L) being a measure of the "size" of uncertainty, then the sampling rate should not exceed 1/L multiplied by a constant (≈ 7.53) for the system to be globally stabilizable by the sampled-data feedback. If, however, the unknown nonlinear function has a growth rate faster than linear, and if the system is disturbed by noises modeled as the standard Brownian motion, then an example is given, showing that the corresponding sampled-data system is not stabilizable by the sampled-data feedback in general, no matter how fast the sampling rate is.
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| 关 键 词： | 取样数据 自适应控制 不确定非线性系统 |
ON LIMITATIONS OF THE SAMPLED-DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS |
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| XUE Feng QUO Lei. ON LIMITATIONS OF THE SAMPLED-DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS[J]. Journal of Systems Science and Complexity, 2002, 15(3): 225-250 |
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| Authors: | XUE Feng QUO Lei |
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| Abstract: | |
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| Keywords: | Sampled-data control adaptive control uncertain nonlinear systems Brow-nian motion stability. |
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