Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems
This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory usi...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/645982 |
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| _version_ | 1832565438173675520 |
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| author | M. A. Hussain Jarinah Mohd Ali M. J. H. Khan |
| author_facet | M. A. Hussain Jarinah Mohd Ali M. J. H. Khan |
| author_sort | M. A. Hussain |
| collection | DOAJ |
| description | This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study. |
| format | Article |
| id | doaj-art-35c867500bec477ca14dcc7930529157 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-35c867500bec477ca14dcc79305291572025-02-03T01:07:48ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/645982645982Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two SystemsM. A. Hussain0Jarinah Mohd Ali1M. J. H. Khan2Department of Chemical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Chemical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Chemical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaThis paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study.http://dx.doi.org/10.1155/2014/645982 |
| spellingShingle | M. A. Hussain Jarinah Mohd Ali M. J. H. Khan Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems Abstract and Applied Analysis |
| title | Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems |
| title_full | Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems |
| title_fullStr | Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems |
| title_full_unstemmed | Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems |
| title_short | Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems |
| title_sort | neural network inverse model control strategy discrete time stability analysis for relative order two systems |
| url | http://dx.doi.org/10.1155/2014/645982 |
| work_keys_str_mv | AT mahussain neuralnetworkinversemodelcontrolstrategydiscretetimestabilityanalysisforrelativeordertwosystems AT jarinahmohdali neuralnetworkinversemodelcontrolstrategydiscretetimestabilityanalysisforrelativeordertwosystems AT mjhkhan neuralnetworkinversemodelcontrolstrategydiscretetimestabilityanalysisforrelativeordertwosystems |