On On-line Sampled-data Optimal Learning for Dynamic Systems with Uncertainties
On On-line Sampled-data Optimal Learning for Dynamic Systems with Uncertainties
Abstract—In this study, a novel on-line optimal learning control is proposed to achieve the optimal performance for dynamic systems with modeling uncertainties, measurement noise and iteration-varying initial conditions. By introducing a nominal model and a sampled-data controller, it is possible to find the optimal solution iteratively of an optimization problem using gradient descent method. A feedback controller is introduced along the finite-time domain to ensure that the difference between the output of the nominal model and that of the actual plant can be made arbitrarily small. This feedback thus can be used to handle various uncertainties in the plant model, while the feedforward learning controller is used to ensure the convergence of the plant output to the optimal solution. Hence, by tuning sampling period and feedback gain matrix, it is possible to ensure that the output of plant converges semi-globally practically to the optimal solution. Simulation results illustrate the effectiveness of the proposed method.
Zhou, S. H.
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Tan, Y.
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Oetomo, D.
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Freeman, C. T.
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23 June 2013
Zhou, S. H.
ff9e5f6b-2e67-410d-9629-563d81209d6d
Tan, Y.
5f06a398-5b4f-499d-a079-29b4bcf5f7fc
Oetomo, D.
a28f79d5-fc16-4aea-bd0e-08c73a94c8b9
Freeman, C. T.
ccdd1272-cdc7-43fb-a1bb-b1ef0bdf5815
Zhou, S. H., Tan, Y., Oetomo, D. and Freeman, C. T.
(2013)
On On-line Sampled-data Optimal Learning for Dynamic Systems with Uncertainties.
9th Asian Control Conference, Istanbul, Turkey.
22 - 25 Jun 2013.
7 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
Abstract—In this study, a novel on-line optimal learning control is proposed to achieve the optimal performance for dynamic systems with modeling uncertainties, measurement noise and iteration-varying initial conditions. By introducing a nominal model and a sampled-data controller, it is possible to find the optimal solution iteratively of an optimization problem using gradient descent method. A feedback controller is introduced along the finite-time domain to ensure that the difference between the output of the nominal model and that of the actual plant can be made arbitrarily small. This feedback thus can be used to handle various uncertainties in the plant model, while the feedforward learning controller is used to ensure the convergence of the plant output to the optimal solution. Hence, by tuning sampling period and feedback gain matrix, it is possible to ensure that the output of plant converges semi-globally practically to the optimal solution. Simulation results illustrate the effectiveness of the proposed method.
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Published date: 23 June 2013
Venue - Dates:
9th Asian Control Conference, Istanbul, Turkey, 2013-06-22 - 2013-06-25
Organisations:
EEE
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Local EPrints ID: 347878
URI: http://eprints.soton.ac.uk/id/eprint/347878
PURE UUID: 25b8ed16-1199-4d53-b3a4-aaece22d3f7e
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Date deposited: 31 Jan 2013 22:42
Last modified: 11 Dec 2024 02:39
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Contributors
Author:
S. H. Zhou
Author:
Y. Tan
Author:
D. Oetomo
Author:
C. T. Freeman
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