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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/8950/1/J15928_ddc71da0d3807a675cc7bc6084719d61.pdf http://eprints.uthm.edu.my/8950/ |
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| Summary: | 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. |
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