A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone
This paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time-varying delays and unknown input dead-zone. A novel nonlinear form of deadzone nonlinearity is presented. The assumption of identical initial condition for ILC is removed by in...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/238018 |
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| _version_ | 1832548120161943552 |
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| author | Jian-ming Wei Yun-an Hu Mei-mei Sun |
| author_facet | Jian-ming Wei Yun-an Hu Mei-mei Sun |
| author_sort | Jian-ming Wei |
| collection | DOAJ |
| description | This paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time-varying delays and unknown input dead-zone. A novel nonlinear form of deadzone nonlinearity is presented. The assumption of identical initial condition for ILC is removed by introducing boundary layer functions. The uncertainties with time-varying delays are compensated for with assistance of appropriate Lyapunov-Krasovskii functional and Young’s inequality. The hyperbolic tangent function is employed to avoid the possible singularity problem. According to a property of hyperbolic tangent function, the system output is proved to converge to a small neighborhood of the desired trajectory by constructing Lyapunov-like composite energy function (CEF) in two cases, while maintaining all the closed-loop signals bounded. Finally, a simulation example is presented to verify the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-5fc2a82394c342b8b5ff4f76d0742912 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5fc2a82394c342b8b5ff4f76d07429122025-02-03T06:42:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/238018238018A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-ZoneJian-ming Wei0Yun-an Hu1Mei-mei Sun2Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaDepartment of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaDepartment of Control Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, ChinaThis paper presents an adaptive iterative learning control (AILC) scheme for a class of nonlinear systems with unknown time-varying delays and unknown input dead-zone. A novel nonlinear form of deadzone nonlinearity is presented. The assumption of identical initial condition for ILC is removed by introducing boundary layer functions. The uncertainties with time-varying delays are compensated for with assistance of appropriate Lyapunov-Krasovskii functional and Young’s inequality. The hyperbolic tangent function is employed to avoid the possible singularity problem. According to a property of hyperbolic tangent function, the system output is proved to converge to a small neighborhood of the desired trajectory by constructing Lyapunov-like composite energy function (CEF) in two cases, while maintaining all the closed-loop signals bounded. Finally, a simulation example is presented to verify the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2014/238018 |
| spellingShingle | Jian-ming Wei Yun-an Hu Mei-mei Sun A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone Journal of Applied Mathematics |
| title | A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone |
| title_full | A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone |
| title_fullStr | A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone |
| title_full_unstemmed | A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone |
| title_short | A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead-Zone |
| title_sort | new ailc for a class of nonlinearly parameterized systems with unknown delays and input dead zone |
| url | http://dx.doi.org/10.1155/2014/238018 |
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