| 引用本文: | 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.[点击复制] |
| WANG Yong.Stability analysis of characteristic model-based adaptive method for a class of minimum-phase nonlinear system[J].Control Theory and Technology,2012,29(9):1097~1107.[点击复制] |
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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 |
| Stability analysis of characteristic model-based adaptive method for a class of minimum-phase nonlinear system |
| 摘要点击 2499 全文点击 2111 投稿时间：2011-07-24 修订日期：2012-03-12 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.9.CCTA110868 |
| 2012,29(9):1097-1107 |
| 中文关键词 自适应控制 全系数自适应控制 特征模型 采样系统 |
| 英文关键词 adaptive control all-coefficient adaptive control characteristic model sampled-data system |
| 基金项目 国家自然科学基金资助项目(60736023, 60704014). |
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| 中文摘要 |
| 在特征建模理论中, 由全系数自适应控制器组成的闭环系统是一个非常复杂的混合系统, 采用传统自适应框架难以进行分析, 因此, 稳定性分析一直是该领域的一个难点. 本文以一类最小相位、相对阶为2的单输入单输出(SISO)高阶非线性系统为例, 通过一种新的特征建模方法, 把高阶混合系统变换为一个含有稳定未建模误差的、参数有界慢时变的采样间接自适应控制问题, 并利用基于欧拉近似离散化模型的采样系统稳定性分析方法进行了系统分析. 该方法可进一步推广到任意相对阶的SISO或多输入多输出(MIMO)系统甚至无限维最小相位系统中去. |
| 英文摘要 |
| 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. |