State Estimation and Optimal Control of Four-Tank System with Stochastic Approximation Approach
This study aims to optimally control the level of a four-tank system at the steady state in the random disturbance environment using the stochastic approximation (SA) approach. Firstly, the stochastic optimal control problem of an equivalent discrete-time is introduced, where the voltages to the p...
| मुख्य लेखकों: | , , , |
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| स्वरूप: | लेख |
| भाषा: | English |
| प्रकाशित: |
2023
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| विषय: | |
| ऑनलाइन पहुंच: | http://eprints.uthm.edu.my/9854/1/J15928_ddc71da0d3807a675cc7bc6084719d61.pdf |
| _version_ | 1825710847460114432 |
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| author | Xian Wen Sim, Xian Wen Sim Sie Long Kek, Sie Long Kek Sy Yi Sim, Sy Yi Sim Jiao Li, Jiao Li |
| author_facet | Xian Wen Sim, Xian Wen Sim Sie Long Kek, Sie Long Kek Sy Yi Sim, Sy Yi Sim Jiao Li, Jiao Li |
| author_sort | Xian Wen Sim, Xian Wen Sim |
| collection | UTHM |
| description | This study aims to optimally control the level of a four-tank system at the steady state in the random disturbance
environment using the stochastic approximation (SA) approach. Firstly, the stochastic optimal control problem of
an equivalent discrete-time is introduced, where the voltages to the pumps are the control inputs. By minimizing the
sum of squared errors, the liquid levels are estimated. Then, first-order necessary conditions are derived by defining
the Hamiltonian function. Thus, the optimal voltages are calculated based on the estimated liquid levels to update
the gradient of the cost function. Finally, for illustration, parameters in the system are considered and a simulation
is conducted. The simulation results show that the state estimation and control law design can perform well, and the
liquid levels are addressed along the steady state. In conclusion, the applicability of the SA approach for handling a four-tank system with random disturbances is demonstrated. |
| first_indexed | 2024-03-05T22:03:50Z |
| format | Article |
| id | uthm.eprints-9854 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:03:50Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | uthm.eprints-98542023-09-13T07:25:21Z http://eprints.uthm.edu.my/9854/ State Estimation and Optimal Control of Four-Tank System with Stochastic Approximation Approach Xian Wen Sim, Xian Wen Sim Sie Long Kek, Sie Long Kek Sy Yi Sim, Sy Yi Sim Jiao Li, Jiao Li T Technology (General) This study aims to optimally control the level of a four-tank system at the steady state in the random disturbance environment using the stochastic approximation (SA) approach. Firstly, the stochastic optimal control problem of an equivalent discrete-time is introduced, where the voltages to the pumps are the control inputs. By minimizing the sum of squared errors, the liquid levels are estimated. Then, first-order necessary conditions are derived by defining the Hamiltonian function. Thus, the optimal voltages are calculated based on the estimated liquid levels to update the gradient of the cost function. Finally, for illustration, parameters in the system are considered and a simulation is conducted. The simulation results show that the state estimation and control law design can perform well, and the liquid levels are addressed along the steady state. In conclusion, the applicability of the SA approach for handling a four-tank system with random disturbances is demonstrated. 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/9854/1/J15928_ddc71da0d3807a675cc7bc6084719d61.pdf Xian Wen Sim, Xian Wen Sim and Sie Long Kek, Sie Long Kek and Sy Yi Sim, Sy Yi Sim and Jiao Li, Jiao Li (2023) State Estimation and Optimal Control of Four-Tank System with Stochastic Approximation Approach. Advances in Technology Innovation, 8 (2). pp. 150-161. |
| spellingShingle | T Technology (General) Xian Wen Sim, Xian Wen Sim Sie Long Kek, Sie Long Kek Sy Yi Sim, Sy Yi Sim Jiao Li, Jiao Li State Estimation and Optimal Control of Four-Tank System with Stochastic Approximation Approach |
| title | State Estimation and Optimal Control of Four-Tank System with
Stochastic Approximation Approach |
| title_full | State Estimation and Optimal Control of Four-Tank System with
Stochastic Approximation Approach |
| title_fullStr | State Estimation and Optimal Control of Four-Tank System with
Stochastic Approximation Approach |
| title_full_unstemmed | State Estimation and Optimal Control of Four-Tank System with
Stochastic Approximation Approach |
| title_short | State Estimation and Optimal Control of Four-Tank System with
Stochastic Approximation Approach |
| title_sort | state estimation and optimal control of four tank system with stochastic approximation approach |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/9854/1/J15928_ddc71da0d3807a675cc7bc6084719d61.pdf |
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