Testing of linear models for optimal control of second-order dynamical system based on model-reality differences
In this paper, the testing of linear models with different parameter values is conducted for solving the optimal control problem of a second-order dynamical system. The purpose of this testing is to provide the solution with the same structure but different parameter values in the model used. For...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/3479/1/J12668_cade9ad298690d556c97dc73cf0dc6cc.pdf |
| _version_ | 1796868844651806720 |
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| author | Kek, Sie Long Sy, Sy Yi Chuei, Yee Chen |
| author_facet | Kek, Sie Long Sy, Sy Yi Chuei, Yee Chen |
| author_sort | Kek, Sie Long |
| collection | UTHM |
| description | In this paper, the testing of linear models with different parameter values is conducted for
solving the optimal control problem of a second-order dynamical system. The purpose of this
testing is to provide the solution with the same structure but different parameter values in the
model used. For doing so, the adjusted parameters are added to each model in order to measure
the differences between the model used and the plant dynamics. On this basis, an expanded
optimal control problem, which combines system optimization and parameter estimation, is
introduced. Then, the Hamiltonian function is defined and a set of the necessary conditions is
derived. Consequently, a modified model-based optimal control problem has resulted. Follow
from this, an equivalent optimization problem without constraints is formulated. During the
calculation procedure, the conjugate gradient algorithm is employed to solve the optimization
problem, in turn, to update the adjusted parameters repeatedly for obtaining the optimal
solution of the model used. Within a given tolerance, the iterative solution of the model used
approximates the correct optimal solution of the original linear optimal control problem despite
model-reality differences. The results obtained show the applicability of models with the same
structures and different parameter values for solving the original linear optimal control problem.
In conclusion, the efficiency of the approach proposed is highly verified. |
| first_indexed | 2024-03-05T21:45:55Z |
| format | Article |
| id | uthm.eprints-3479 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:45:55Z |
| publishDate | 2021 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | uthm.eprints-34792021-11-17T08:48:11Z http://eprints.uthm.edu.my/3479/ Testing of linear models for optimal control of second-order dynamical system based on model-reality differences Kek, Sie Long Sy, Sy Yi Chuei, Yee Chen QA75 Electronic computers. Computer science In this paper, the testing of linear models with different parameter values is conducted for solving the optimal control problem of a second-order dynamical system. The purpose of this testing is to provide the solution with the same structure but different parameter values in the model used. For doing so, the adjusted parameters are added to each model in order to measure the differences between the model used and the plant dynamics. On this basis, an expanded optimal control problem, which combines system optimization and parameter estimation, is introduced. Then, the Hamiltonian function is defined and a set of the necessary conditions is derived. Consequently, a modified model-based optimal control problem has resulted. Follow from this, an equivalent optimization problem without constraints is formulated. During the calculation procedure, the conjugate gradient algorithm is employed to solve the optimization problem, in turn, to update the adjusted parameters repeatedly for obtaining the optimal solution of the model used. Within a given tolerance, the iterative solution of the model used approximates the correct optimal solution of the original linear optimal control problem despite model-reality differences. The results obtained show the applicability of models with the same structures and different parameter values for solving the original linear optimal control problem. In conclusion, the efficiency of the approach proposed is highly verified. Elsevier 2021 Article PeerReviewed text en http://eprints.uthm.edu.my/3479/1/J12668_cade9ad298690d556c97dc73cf0dc6cc.pdf Kek, Sie Long and Sy, Sy Yi and Chuei, Yee Chen (2021) Testing of linear models for optimal control of second-order dynamical system based on model-reality differences. Results in Control and Optimization, 4. pp. 1-12. https://doi.org/10.1016/j.rico.2021.100022 |
| spellingShingle | QA75 Electronic computers. Computer science Kek, Sie Long Sy, Sy Yi Chuei, Yee Chen Testing of linear models for optimal control of second-order dynamical system based on model-reality differences |
| title | Testing of linear models for optimal control of second-order
dynamical system based on model-reality differences |
| title_full | Testing of linear models for optimal control of second-order
dynamical system based on model-reality differences |
| title_fullStr | Testing of linear models for optimal control of second-order
dynamical system based on model-reality differences |
| title_full_unstemmed | Testing of linear models for optimal control of second-order
dynamical system based on model-reality differences |
| title_short | Testing of linear models for optimal control of second-order
dynamical system based on model-reality differences |
| title_sort | testing of linear models for optimal control of second order dynamical system based on model reality differences |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.uthm.edu.my/3479/1/J12668_cade9ad298690d556c97dc73cf0dc6cc.pdf |
| work_keys_str_mv | AT keksielong testingoflinearmodelsforoptimalcontrolofsecondorderdynamicalsystembasedonmodelrealitydifferences AT sysyyi testingoflinearmodelsforoptimalcontrolofsecondorderdynamicalsystembasedonmodelrealitydifferences AT chueiyeechen testingoflinearmodelsforoptimalcontrolofsecondorderdynamicalsystembasedonmodelrealitydifferences |