Identification of Continuous-Time Dynamic Systems With Uncertainties Measured by Fuzzy Sets Subject to Model Structure Errors
Continuous-time dynamic models are indispensable for many disciplines of science and engineering. This article proposes a new approach for estimating unknown parameters of continuous-time dynamic models. The proposed approach is composed of three main steps: a searching grid of model parameters is f...
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| Published in | IEEE transactions on fuzzy systems Vol. 32; no. 5; pp. 3293 - 3300 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.05.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1063-6706 1941-0034 |
| DOI | 10.1109/TFUZZ.2024.3368998 |
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| Abstract | Continuous-time dynamic models are indispensable for many disciplines of science and engineering. This article proposes a new approach for estimating unknown parameters of continuous-time dynamic models. The proposed approach is composed of three main steps: a searching grid of model parameters is formulated in certain step sizes, objective functions of all grid points are calculated, and optimal model parameters are found as the ones corresponding to the minimum value of the objective function. Compared with existing identification approaches, the proposed approach has one new feature that model uncertainties are measured based on the fuzzy set theory by a number of companion model parameters that are associated with objective functions close to the minimum one. The proposed approach does not require a restrictive assumption for existing approaches that the true unknown system must be enclosed by the model set being considered, and provides model uncertainties in the presence of model structure errors. The main obstacle of the grid search is a high computation cost in calculating objective functions for all grid points. This obstacle is overcome to an acceptable level via parallel computation using a number of CPUs in multiple computers. The proposed approach is validated and compared with the existing approach through numerical and experimental examples. |
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| AbstractList | Continuous-time dynamic models are indispensable for many disciplines of science and engineering. This article proposes a new approach for estimating unknown parameters of continuous-time dynamic models. The proposed approach is composed of three main steps: a searching grid of model parameters is formulated in certain step sizes, objective functions of all grid points are calculated, and optimal model parameters are found as the ones corresponding to the minimum value of the objective function. Compared with existing identification approaches, the proposed approach has one new feature that model uncertainties are measured based on the fuzzy set theory by a number of companion model parameters that are associated with objective functions close to the minimum one. The proposed approach does not require a restrictive assumption for existing approaches that the true unknown system must be enclosed by the model set being considered, and provides model uncertainties in the presence of model structure errors. The main obstacle of the grid search is a high computation cost in calculating objective functions for all grid points. This obstacle is overcome to an acceptable level via parallel computation using a number of CPUs in multiple computers. The proposed approach is validated and compared with the existing approach through numerical and experimental examples. |
| Author | Wang, Jiandong Xing, Xiaotong |
| Author_xml | – sequence: 1 givenname: Jiandong orcidid: 0000-0003-2635-8724 surname: Wang fullname: Wang, Jiandong email: jiandong@sdust.edu.cn organization: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China – sequence: 2 givenname: Xiaotong orcidid: 0000-0003-2426-8223 surname: Xing fullname: Xing, Xiaotong email: xingxiaotongi@163.com organization: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China |
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| SubjectTerms | Barriers Computation Computational modeling Computers Continuous time systems Continuous-time models Dynamic models Dynamical systems Errors fuzzy set Fuzzy set theory Fuzzy sets grid search Linear programming Mathematical models Measurement uncertainty model uncertainties parallel computation Parallel processing Parameters System identification Uncertainty |
| Title | Identification of Continuous-Time Dynamic Systems With Uncertainties Measured by Fuzzy Sets Subject to Model Structure Errors |
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