The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control
An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. By introducing the λ-norm and being inspired by retarded Gronwall-like inequality, the novel sufficient conditions for robust convergence of the tracking error, whose initial states are not ze...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/4619450 |
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| _version_ | 1832558898943361024 |
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| author | Zhang Qunli |
| author_facet | Zhang Qunli |
| author_sort | Zhang Qunli |
| collection | DOAJ |
| description | An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. By introducing the λ-norm and being inspired by retarded Gronwall-like inequality, the novel sufficient conditions for robust convergence of the tracking error, whose initial states are not zero, with time delays are obtained. Finally, simulation example is given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-d802a1e694964f4fbf2f5ba019eaad2d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d802a1e694964f4fbf2f5ba019eaad2d2025-02-03T01:31:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/46194504619450The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning ControlZhang Qunli0Department of Mathematics, Heze University, Heze, Shandong 274015, ChinaAn iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. By introducing the λ-norm and being inspired by retarded Gronwall-like inequality, the novel sufficient conditions for robust convergence of the tracking error, whose initial states are not zero, with time delays are obtained. Finally, simulation example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2016/4619450 |
| spellingShingle | Zhang Qunli The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control Advances in Mathematical Physics |
| title | The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control |
| title_full | The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control |
| title_fullStr | The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control |
| title_full_unstemmed | The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control |
| title_short | The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control |
| title_sort | effect of initial state error for nonlinear systems with delay via iterative learning control |
| url | http://dx.doi.org/10.1155/2016/4619450 |
| work_keys_str_mv | AT zhangqunli theeffectofinitialstateerrorfornonlinearsystemswithdelayviaiterativelearningcontrol AT zhangqunli effectofinitialstateerrorfornonlinearsystemswithdelayviaiterativelearningcontrol |