Neural Network L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty
An indirect adaptive controller is developed for a class of multiple-input multiple-output (MIMO) nonlinear systems with unknown uncertainties. This control system is comprised of an L1 adaptive controller and an auxiliary neural network (NN) compensation controller. The L1 adaptive controller has g...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/942094 |
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| _version_ | 1832548469408006144 |
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| author | Hong-tao Zhen Xiao-hui Qi Jie Li Qing-min Tian |
| author_facet | Hong-tao Zhen Xiao-hui Qi Jie Li Qing-min Tian |
| author_sort | Hong-tao Zhen |
| collection | DOAJ |
| description | An indirect adaptive controller is developed for a class of multiple-input multiple-output (MIMO) nonlinear systems with unknown uncertainties. This control system is comprised of an L1 adaptive controller and an auxiliary neural network (NN) compensation controller. The L1 adaptive controller has guaranteed transient response in addition to stable tracking. In this architecture, a low-pass filter is adopted to guarantee fast adaptive rate without generating high-frequency oscillations in control signals. The auxiliary compensation controller is designed to approximate the unknown nonlinear functions by MIMO RBF neural networks to suppress the influence of uncertainties. NN weights are tuned on-line with no prior training and the project operator ensures the weights bounded. The global stability of the closed-system is derived based on the Lyapunov function. Numerical simulations of an MIMO system coupled with nonlinear uncertainties are used to illustrate the practical potential of our theoretical results. |
| format | Article |
| id | doaj-art-806c87f8ae0a47b7be788fb05d54482b |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-806c87f8ae0a47b7be788fb05d54482b2025-02-03T06:13:58ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/942094942094Neural Network L1 Adaptive Control of MIMO Systems with Nonlinear UncertaintyHong-tao Zhen0Xiao-hui Qi1Jie Li2Qing-min Tian3Department of UAV Engineering, Mechanical Engineering College, Shijiazhuang 050003, ChinaDepartment of UAV Engineering, Mechanical Engineering College, Shijiazhuang 050003, ChinaDepartment of UAV Engineering, Mechanical Engineering College, Shijiazhuang 050003, ChinaDepartment of UAV Engineering, Mechanical Engineering College, Shijiazhuang 050003, ChinaAn indirect adaptive controller is developed for a class of multiple-input multiple-output (MIMO) nonlinear systems with unknown uncertainties. This control system is comprised of an L1 adaptive controller and an auxiliary neural network (NN) compensation controller. The L1 adaptive controller has guaranteed transient response in addition to stable tracking. In this architecture, a low-pass filter is adopted to guarantee fast adaptive rate without generating high-frequency oscillations in control signals. The auxiliary compensation controller is designed to approximate the unknown nonlinear functions by MIMO RBF neural networks to suppress the influence of uncertainties. NN weights are tuned on-line with no prior training and the project operator ensures the weights bounded. The global stability of the closed-system is derived based on the Lyapunov function. Numerical simulations of an MIMO system coupled with nonlinear uncertainties are used to illustrate the practical potential of our theoretical results.http://dx.doi.org/10.1155/2014/942094 |
| spellingShingle | Hong-tao Zhen Xiao-hui Qi Jie Li Qing-min Tian Neural Network L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty The Scientific World Journal |
| title | Neural Network
L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty |
| title_full | Neural Network
L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty |
| title_fullStr | Neural Network
L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty |
| title_full_unstemmed | Neural Network
L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty |
| title_short | Neural Network
L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty |
| title_sort | neural network l1 adaptive control of mimo systems with nonlinear uncertainty |
| url | http://dx.doi.org/10.1155/2014/942094 |
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