输入非线性方程误差系统的多新息辨识方法

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输入非线性方程误差系统的多新息辨识方法
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                        丁锋丁锋
江南大学 物联网工程学院, 无锡, 214122;江南大学 控制科学与工程研究中心, 无锡, 214122;江南大学 教育部轻工过程先进控制重点实验室, 无锡, 214122
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陈慧波陈慧波
江南大学 物联网工程学院, 无锡, 214122
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基金项目:国家自然科学基金(61273194);江苏省自然科学基金(BK2012549);高等学校学科创新引智"111计划"(B12018)

Multi-innovation identification methods for input nonlinear equation-error systems

Author:

DING Feng
DING Feng
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122;Control Science and Engineering Research Center, Jiangnan University, Wuxi 214122;Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122
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CHEN Huibo
CHEN Huibo
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122
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摘要:

针对输入非线性方程误差系统,即输入非线性受控自回归系统,研究了基于过参数化模型的多新息辨识方法和基于过参数化模型的递阶多新息辨识方法;研究了基于关键项分离原理的多新息辨识方法;使用辨识模型分解技术,研究了基于关键项分离原理的两阶段多新息辨识方法和三阶段多新息辨识方法.这些方法可以推广到其他输入非线性方程误差系统、输入非线性输出误差类系统、输出非线性方程误差类系统、输出非线性输出类系统、反馈非线性系统等.同时,给出了几个典型辨识算法的计算量、计算步骤和流程图.

关键词:参数估计;递推辨识;梯度搜索;最小二乘;过参数化模型;关键项分离原理;模型分解;辅助模型辨识思想;多新息辨识理论;递阶辨识原理;耦合辨识概念;输入非线性系统;输出非线性系统

Abstract:

For input nonlinear equation-error systems (namely the input nonlinear controlled autoregressive (IN-CAR) systems),this paper studies and presents the over-parameterization model based multi-innovation identification (MI) methods,the over-parameterization model based hierarchical MI methods and the key term separation based MI methods,and uses the decomposition technique to present the key term separation based two-stage MI methods and the key term separation based three-stage MI methods.These methods can be extended to other input nonlinear equation-error systems,input nonlinear output-error type systems,output nonlinear equation-error type systems and output nonlinear output-error systems,and feedback nonlinear systems.Finally,the computational efficiency,the computational steps and the flowcharts of several typical identification algorithms are discussed.

Key words:parameter estimation;recursive identification;gradient search;least squares;over-parameterization model;key term separation principle;model decomposition technique;auxiliary model identification ideal;multi-innovation identification theory;hierarchical identification principle;coupling identification concept;input nonlinear system;output nonlinear system

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丁锋,陈慧波.输入非线性方程误差系统的多新息辨识方法[J].南京信息工程大学学报(自然科学版),2015,7(2):97-124
DING Feng, CHEN Huibo. Multi-innovation identification methods for input nonlinear equation-error systems[J]. Journal of Nanjing University of Information Science & Technology, 2015,7(2):97-124

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收稿日期:2015-04-02
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在线发布日期: 2015-04-23
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