Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics
Abstract In this paper, a bias‐eliminated output error (OE) model identification method is proposed for single‐input‐single‐output sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics. By viewing the load disturbance response as a time‐variant parameter, an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-10-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12170 |
| _version_ | 1818041117317267456 |
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| author | Saurabh Pandey Tao Liu Qing‐Guo Wang |
| author_facet | Saurabh Pandey Tao Liu Qing‐Guo Wang |
| author_sort | Saurabh Pandey |
| collection | DOAJ |
| description | Abstract In this paper, a bias‐eliminated output error (OE) model identification method is proposed for single‐input‐single‐output sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics. By viewing the load disturbance response as a time‐variant parameter, an iterative least‐squares identification algorithm is established to estimate the rational model parameters together with an integer‐type delay parameter, while the disturbance response could be simultaneously estimated. To overcome the adverse effect of stochastic noise involved with output measurement, an auxiliary model is constructed to predict the noise‐free system response. Moreover, a set of adaptive forgetting factors is introduced to expedite the convergence rate of model parameter estimation and the tracking performance of load disturbance response, respectively. In addition, a monotonically rising profile for evaluating the delay parameter is proposed for implementing the above iterative least‐squares algorithm, in order to avoid the occurrence of multiple local minima of the loss function for model fitting. The asymptotic convergence on estimating the rational model parameters together with the delay parameter is analysed with a proof. An illustrative example is given to demonstrate the effectiveness and advantage of the proposed method. |
| first_indexed | 2024-12-10T08:25:19Z |
| format | Article |
| id | doaj.art-fdccbe6dda1e4e4f81f3738370c9920b |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-12-10T08:25:19Z |
| publishDate | 2021-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-fdccbe6dda1e4e4f81f3738370c9920b2022-12-22T01:56:15ZengWileyIET Control Theory & Applications1751-86441751-86522021-10-0115151942195510.1049/cth2.12170Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamicsSaurabh Pandey0Tao Liu1Qing‐Guo Wang2Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education Dalian ChinaKey Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education Dalian ChinaInstitute of Artificial Intelligence and Future Networks Beijing Normal University at Zhuhai Zhuhai ChinaAbstract In this paper, a bias‐eliminated output error (OE) model identification method is proposed for single‐input‐single‐output sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics. By viewing the load disturbance response as a time‐variant parameter, an iterative least‐squares identification algorithm is established to estimate the rational model parameters together with an integer‐type delay parameter, while the disturbance response could be simultaneously estimated. To overcome the adverse effect of stochastic noise involved with output measurement, an auxiliary model is constructed to predict the noise‐free system response. Moreover, a set of adaptive forgetting factors is introduced to expedite the convergence rate of model parameter estimation and the tracking performance of load disturbance response, respectively. In addition, a monotonically rising profile for evaluating the delay parameter is proposed for implementing the above iterative least‐squares algorithm, in order to avoid the occurrence of multiple local minima of the loss function for model fitting. The asymptotic convergence on estimating the rational model parameters together with the delay parameter is analysed with a proof. An illustrative example is given to demonstrate the effectiveness and advantage of the proposed method.https://doi.org/10.1049/cth2.12170Simulation, modelling and identificationControl in industrial production systemsInterpolation and function approximation (numerical analysis)StatisticsNumerical analysisIndustrial processes |
| spellingShingle | Saurabh Pandey Tao Liu Qing‐Guo Wang Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics IET Control Theory & Applications Simulation, modelling and identification Control in industrial production systems Interpolation and function approximation (numerical analysis) Statistics Numerical analysis Industrial processes |
| title | Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics |
| title_full | Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics |
| title_fullStr | Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics |
| title_full_unstemmed | Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics |
| title_short | Parametric identification of output error model for sampled systems with integer‐type time delay subject to load disturbance with unknown dynamics |
| title_sort | parametric identification of output error model for sampled systems with integer type time delay subject to load disturbance with unknown dynamics |
| topic | Simulation, modelling and identification Control in industrial production systems Interpolation and function approximation (numerical analysis) Statistics Numerical analysis Industrial processes |
| url | https://doi.org/10.1049/cth2.12170 |
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