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Identification of Dual-Rate Sampled Hammerstein Systems with a Piecewise-Linear Nonlinearity Using the Key Variable Separation Technique

1
College of Automation Engineering, Qingdao University, 308 Ningxia Road, Qingdao 266071, China
2
College of Engineering, Ocean University of China, 238 Songling Road, Qingdao 266100, China
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Author to whom correspondence should be addressed.
Academic Editor: Henning Fernau
Algorithms 2015, 8(3), 366-379; https://0-doi-org.brum.beds.ac.uk/10.3390/a8030366
Received: 5 May 2015 / Revised: 9 June 2015 / Accepted: 15 June 2015 / Published: 24 June 2015
The identification difficulties for a dual-rate Hammerstein system lie in two aspects. First, the identification model of the system contains the products of the parameters of the nonlinear block and the linear block, and a standard least squares method cannot be directly applied to the model; second, the traditional single-rate discrete-time Hammerstein model cannot be used as the identification model for the dual-rate sampled system. In order to solve these problems, by combining the polynomial transformation technique with the key variable separation technique, this paper converts the Hammerstein system into a dual-rate linear regression model about all parameters (linear-in-parameter model) and proposes a recursive least squares algorithm to estimate the parameters of the dual-rate system. The simulation results verify the effectiveness of the proposed algorithm. View Full-Text
Keywords: Hammerstein system; dual-rate; key variable separation technique; polynomial transformation; least squares Hammerstein system; dual-rate; key variable separation technique; polynomial transformation; least squares
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MDPI and ACS Style

Wang, Y.-Y.; Wang, X.-D.; Wang, D.-Q. Identification of Dual-Rate Sampled Hammerstein Systems with a Piecewise-Linear Nonlinearity Using the Key Variable Separation Technique. Algorithms 2015, 8, 366-379. https://0-doi-org.brum.beds.ac.uk/10.3390/a8030366

AMA Style

Wang Y-Y, Wang X-D, Wang D-Q. Identification of Dual-Rate Sampled Hammerstein Systems with a Piecewise-Linear Nonlinearity Using the Key Variable Separation Technique. Algorithms. 2015; 8(3):366-379. https://0-doi-org.brum.beds.ac.uk/10.3390/a8030366

Chicago/Turabian Style

Wang, Ying-Ying; Wang, Xiang-Dong; Wang, Dong-Qing. 2015. "Identification of Dual-Rate Sampled Hammerstein Systems with a Piecewise-Linear Nonlinearity Using the Key Variable Separation Technique" Algorithms 8, no. 3: 366-379. https://0-doi-org.brum.beds.ac.uk/10.3390/a8030366

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