Identification of a class of Wiener and Hammerstein-type nonlinear processes with monotonic static gains
Abstract
In this paper a non-iterative approach to identifying Wiener and Hammerstein models, including model structure and parameters, is proposed. A single symmetrical relay test is conducted to determine the structure and then the parameters of the block-oriented nonlinear model possessing a static nonlinearity and a linear process in cascade. The static nonlinearity block is represented by a memoryless and monotonic function and the linear process by a second order transfer function model. A relay with hysteresis induces the limit cycle output signal and one cycle data of the output signal is used to identify the block-oriented nonlinear model. The proposed identification method is simple and gives better performance than previous methods for processes with static nonlinearity.
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The presented approach is superior to the RF3 method for estimating the nonlinearity in Example 4.
“The comparison for the estimated nonlinearity is displayed in Fig. 12, which clearly showcases the superiority of the presented approach over the RF3 method [17].”
From Application of Fractional Calculus for Parameter Estimation of Nonlinear Wiener Systems With Time Delay (2024) · cites this paper as [17]
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Kothari, K. (2024) · IEEE Access · doi:10.1109/access.2024.3367441 · Cited by 10 · see citing works
“12, which clearly showcases the superiority of the presented approach over the RF3 method [17].”
BackgroundMethodInfluential
- Authors
- Mehta, U., & Majhi, S.
- Affiliations
- Indian Institute of Technology Guwahati (IN)
- Corresponding author
- Mehta, Utkal
- Venue
- ISA Transactions
- Publisher
- Elsevier BV
- Published
- 2010-10
- Volume
- 49
- Issue
- 4
- Pages
- 501-509
- ISSN
- 0019-0578 (ISSN-L)
- OpenAlex
- W2059593690
- Cited by
- 24
- References
- 0
- Citations by year
- 2025: 1 · 2024: 1 · 2023: 1 · 2021: 1 · 2020: 3 · 2019: 1 · 2018: 1 · 2017: 2 · 2015: 2 · 2014: 4 · 2013: 2 · 2012: 2
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- ISA Transactions (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Control and Systems Engineering › Fault Detection and Control Systems
- Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
- Keywords
- Wiener model, Hammerstein model, limit cycles, model structure identification, second-order transfer function
- MeSH terms
- Algorithms, Electronics, Nonlinear Dynamics
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