ON LIMITATIONS OF THE SAMPLED-DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS  

作　　者：XUE Feng QUO Lei (Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China) 

出　　处：《Journal of Systems Science & Complexity》2002年第3期225-250,共26页系统科学与复杂性学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China and the National Key Project of China.

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.

关 键 词：Sampled-data control adaptive control uncertain nonlinear systems Brow-nian motion stability. 

分 类 号：O193[理学—数学]