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

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Multi-innovation identification methods for input nonlinear equation-error systems
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                        DING FengDING 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 HuiboCHEN Huibo
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122
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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

Reference

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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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Received:April 02,2015
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Online: April 23,2015
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