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International Journal of Control Volume 82, 2009 - Issue 3
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Original Articles

Hammerstein system identification by non-parametric instrumental variables

Zygmunt Hasiewicz Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wroclaw, Poland
&
Grzegorz Mzyk Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wroclaw, PolandCorrespondence[email protected]
Pages 440-455 | Received 08 May 2007, Accepted 22 May 2008, Published online: 23 Feb 2009

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Feng Li & Li Jia. (2018) Correlation analysis-based error compensation recursive least-square identification method for the Hammerstein model. Journal of Statistical Computation and Simulation 88:1, pages 56-74.
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Grzegorz Mzyk. (2015) Instrumental variables for nonlinearity recovering in block-oriented systems driven by correlated signals. International Journal of Systems Science 46:2, pages 246-254.
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Articles from other publishers (38)

Yuzhu Zhang, Shijian Dong, Zhiwei Sun, Hequn Yang & Xuesong Wang. (2023) A maximum likelihood identification of block industrial systems with input nonlinearity and applying to the chemical process. A maximum likelihood identification of block industrial systems with input nonlinearity and applying to the chemical process.
Grzegorz Mzyk. 2021. Theory and Engineering of Dependable Computer Systems and Networks. Theory and Engineering of Dependable Computer Systems and Networks 306 315 .
Grzegorz Mzyk, Zygmunt Hasiewicz & Paweł Mielcarek. (2020) Kernel Identification of Non-Linear Systems with General Structure. Algorithms 13:12, pages 328.
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Bartlomiej Kozdars, Grzegorz Mzyk & Pawel Mielcarek. (2020) Identification of the Heating Process in Differential Scanning Calorimeter with the Use of Hammerstein Model. Identification of the Heating Process in Differential Scanning Calorimeter with the Use of Hammerstein Model.
Zygmunt Hasiewicz & Grzegorz Mzyk. 2020. Reliability and Statistics in Transportation and Communication. Reliability and Statistics in Transportation and Communication 119 129 .
Adil Brouri & Mohamed Benyassi. (2019) Spectral Determination of Nonlinear System Parameters. ITM Web of Conferences 24, pages 02005.
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Mohammad Jahani Moghaddam, Hamed Mojallali & Mohammad Teshnehlab. (2018) A multiple-input-single-output fractional-order Hammerstein model identification based on modified neural network. Mathematical Methods in the Applied Sciences 41:16, pages 6252-6271.
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Mohammad Jahani Moghaddam, Hamed Mojallali & Mohammad Teshnehlab. (2018) Recursive identification of multiple-input single-output fractional-order Hammerstein model with time delay. Applied Soft Computing 70, pages 486-500.
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Grzegorz Mzyk. (2018) Efficient Identification of Hammerstein Systems by Two-Level Optimization with Decomposition. Efficient Identification of Hammerstein Systems by Two-Level Optimization with Decomposition.
Grzegorz Mzyk. (2018) Hybrid Identification of L-N-L and N-L-N Systems. Hybrid Identification of L-N-L and N-L-N Systems.
Grzegorz Mzyk & Paweł Wachel. (2017) Kernel-based identification of Wiener–Hammerstein system. Automatica 83, pages 275-281.
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Alireza Roudbari & Fariborz Saghafi. (2016) Modeling and identification of highly maneuverable fighter aircraft dynamics using block-oriented nonlinear models. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 231:7, pages 1293-1311.
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Liang Ma & Xinggao Liu. (2017) A novel APSO-aided weighted LSSVM method for nonlinear hammerstein system identification. Journal of the Franklin Institute 354:4, pages 1892-1906.
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Liang Ma & Xinggao Liu. (2016) Recursive maximum likelihood method for the identification of Hammerstein ARMAX system. Applied Mathematical Modelling 40:13-14, pages 6523-6535.
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Paweł Wachel & Grzegorz Mzyk. (2016) Direct identification of the linear block in Wiener system. International Journal of Adaptive Control and Signal Processing 30:1, pages 93-105.
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Lukasz Malinski & Jaroslaw Figwer. (2015) Nonlinear system identification using memetic algorithms. Nonlinear system identification using memetic algorithms.
Mathieu Pouliquen, Eric Pigeon & Olivier Gehan. (2015) Identification Scheme for Hammerstein Output Error models with Bounded Noise. IEEE Transactions on Automatic Control, pages 1-1.
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Paweł Wachel & Grzegorz Mzyk. (2015) Identification of linear block in Wiener system with nonparametric nonlinearity. IFAC-PapersOnLine 48:28, pages 608-613.
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Liang Ma & Xinggao Liu. (2014) A nonlinear recursive instrumental variables identification method of Hammerstein ARMAX system. Nonlinear Dynamics 79:2, pages 1601-1613.
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Grzegorz Mzyk. 2015. Stochastic Models, Statistics and Their Applications. Stochastic Models, Statistics and Their Applications 121 128 .
Teresa Glowka & Jaroslaw Figwer. (2014) Identification of linear subsystem for simple block-oriented nonlinear systems working in closed-loop — Higher order spectra approach. Identification of linear subsystem for simple block-oriented nonlinear systems working in closed-loop — Higher order spectra approach.
Jaroslaw Figwer. (2013) Hammerstein system identification with multisine excitations — Quantized low-power observations case. Hammerstein system identification with multisine excitations — Quantized low-power observations case.
Boyi Ni, Marion Gilson & Hugues Garnier. (2013) Refined instrumental variable method for Hammerstein–Wiener continuous‐time model identification. IET Control Theory & Applications 7:9, pages 1276-1286.
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Zygmunt Hasiewicz, Grzegorz Mzyk, Przemysław śliwiński & Paweł Wachel. (2013) Model Selection of Hammerstein System Nonlinearity under Heavy Noise. IFAC Proceedings Volumes 46:11, pages 378-383.
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F. Giri, Y. Rochdi, A. Radouane, A. Brouri & F.Z. Chaoui. (2013) Frequency identification of nonparametric Wiener systems containing backlash nonlinearities. Automatica 49:1, pages 124-137.
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Zygmunt Hasiewicz, Grzegorz Mzyk, Przemyslaw Śliwiński & Paweł Wachel. (2012) Mixed parametric-nonparametric identification of Hammerstein and Wiener systems - a survey. IFAC Proceedings Volumes 45:16, pages 464-469.
Crossref
Grzegorz Mzyk. (2012) Fast model order selection of the nonlinearity in hammerstein systems. Fast model order selection of the nonlinearity in hammerstein systems.
Guoqi Li & Changyun Wen. (2011) Convergence of normalized iterative identification of Hammerstein systems. Systems & Control Letters 60:11, pages 929-935.
Crossref
Thomas Trigano, Uri Isserles & Ya'acov Ritov. (2011) Semiparametric Curve Alignment and Shift Density Estimation for Biological Data. IEEE Transactions on Signal Processing 59:5, pages 1970-1984.
Crossref
Y. Rochdi, F. Giri, J.B. Gning & F.Z. Chaoui. (2010) Identification of block-oriented systems in the presence of nonparametric input nonlinearities of switch and backlash types. Automatica 46:5, pages 864-877.
Crossref
Grzegorz Mzyk. (2010) Wiener-Hammerstein system identification with non-Gaussian input. IFAC Proceedings Volumes 43:10, pages 106-111.
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F. Giri, J.B. Gning & F.Z. Chaoui. (2010) Adaptive Output Feedback Control of Bouc-Wen Hysteretic systems. IFAC Proceedings Volumes 43:10, pages 1-6.
Crossref
Zygmunt Hasiewicz, Grzegorz Mzyk & Przemysław Śliwiński. 2010. Artifical Intelligence and Soft Computing. Artifical Intelligence and Soft Computing 34 41 .
Grzegorz Mzyk. 2010. Block-oriented Nonlinear System Identification. Block-oriented Nonlinear System Identification 111 125 .
G. Mzyk. (2009) Nonlinearity Recovering in Hammerstein System from Short Measurement Sequence. IEEE Signal Processing Letters 16:9, pages 762-765.
Crossref
Przemyslaw Sliwinski, Jerzy Rozenblit, Michael W. Marcellin & Ryszard Klempous. (2009) Wavelet Amendment of Polynomial Models in Hammerstein Systems Identification. IEEE Transactions on Automatic Control 54:4, pages 820-825.
Crossref
Włodzimierz Greblicki & Grzegorz Mzyk. (2009) Semiparametric Approach to Hammerstein System Identification. IFAC Proceedings Volumes 42:10, pages 1680-1685.
Crossref
Peter C. Young, Wlodzimierz Tych & C. James Taylor. (2009) The Captain Toolbox for Matlab. IFAC Proceedings Volumes 42:10, pages 758-763.
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