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基于特征模型自适应方法的一类最小相位非线性系统稳定性分析

王勇

控制理论与应用2012,Vol.29Issue(9):1097-1107,11.
控制理论与应用2012,Vol.29Issue(9):1097-1107,11.

基于特征模型自适应方法的一类最小相位非线性系统稳定性分析

Stability analysis of characteristic model-based adaptive method for a class of minimum-phase nonlinear system

王勇1

作者信息

  • 1. 北京控制工程研究所空间智能控制技术国家级重点实验室,北京100190
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摘要

Abstract

In the characteristic modeling theory, the closed-loop system composed of all-coefficient adaptive controller is a complex hybrid system that can not be analyzed in the framework of traditional adaptive control theory, leaving the stability analysis a long-time difficult problem to be solved. This paper investigates a class of minimum phase, single input single output (SISO) nth-order nonlinear system with second relative degree, and proposes a systematic stability analysis framework which transforms the higher order hybrid system to an indirect adaptive control problem with unmodeled dynamics and bounded, slowly varying parameters. Furthermore, this framework can be extended to more complex systems such as the SISO, multi-input multi-output (MIMO), and infinite-dimensional minimum phase systems with higher relative degree.

关键词

自适应控制/全系数自适应控制/特征模型/采样系统

Key words

adaptive control/ all-coefficient adaptive control/ characteristic model/ sampled-data system

分类

信息技术与安全科学

引用本文复制引用

王勇..基于特征模型自适应方法的一类最小相位非线性系统稳定性分析[J].控制理论与应用,2012,29(9):1097-1107,11.

基金项目

国家自然科学基金资助项目(60736023,60704014). (60736023,60704014)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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