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Hierarchical gradient- and least squares-based iterative algorithms for input nonlinear output-error systems using the key term separation
Authors:Feng Ding  Hao Ma  Jian Pan  Erfu Yang
Institution:1. School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan 430068, PR China;3. Department of Design, Manufacturing and Engineering Management, University of Strathclyde, Glasgow G1 1XJ, Scotland, UK;1. The School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, PR China;2. Rocket Force University of Engineering, Xi’an 710025, PR China;3. Synergy Innovation Institute of GDUT, Heyuan, 517000, PR China;4. PengCheng Laboratory Shenzhen, Shenzhen, 518055, P.R. China;1. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, PR China;2. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;3. School of Science, Xi’an Jiaotong Liverpool University, Suzhou 215123, PR China
Abstract:This paper considers the parameter identification problems of the input nonlinear output-error (IN-OE) systems, that is the Hammerstein output-error systems. In order to overcome the excessive calculation amount of the over-parameterization method of the IN-OE systems. Through applying the hierarchial identification principle and decomposing the IN-OE system into three subsystems with a smaller number of parameters, we present the key term separation auxiliary model hierarchical gradient-based iterative algorithm and the key term separation auxiliary model hierarchical least squares-based iterative algorithm, which are called the key term separation auxiliary model three-stage gradient-based iterative algorithm and the key term separation auxiliary model three-stage least squares-based iterative algorithm. The comparison of the calculation amount and the simulation analysis indicate that the proposed algorithms are effective.
Keywords:
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