Zhu, Y. and Lang, Z. (2018) Design of nonlinear systems in the frequency domain: an output frequency response function-based approach. IEEE Transactions on Control Systems Technology, 26 (4). pp. 1358-1371. ISSN 1063-6536
Abstract
In this paper, a nonlinear auto regressive with eXegenous input (NARX) model of nonlinear systems, where the physical parameters of interest for the system design appear explicitly as coefficients in the model, is introduced. The model is referred to as the NARX model with parameters of interest for design (NARX-M-for-D). The output frequency response function (OFRF) in terms of these physical parameters is then introduced for the NARX-M-for-D, and an efficient algorithm is derived to determine the OFRF so as to facilitate the design of nonlinear systems in the frequency domain. Moreover, a general procedure for the design of the physical parameters of the NARXM-for-D in the frequency domain is proposed, which has the potential to be applied to design a wide range of engineering systems and structures. Finally, two case studies are provided to demonstrate the new OFRF-based nonlinear system design and its significance in engineering applications.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. |
Keywords: | Engineering system design; frequency domain; nonlinear auto regressive with eXegenous input (NARX) model; nonlinear systems; output frequency response function (OFRF) |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 26 Jul 2017 11:17 |
Last Modified: | 20 Oct 2023 14:45 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers |
Refereed: | Yes |
Identification Number: | 10.1109/TCST.2017.2716379 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:119354 |