Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays
This paper addresses the H∞ output tracking problem for a class of nonlinear systems subjected to model uncertainties and with interval time-varying delay. The stability of the nonlinear time-delay system is analyzed with a novel delay-interval-dependent Lyapunov–Krasovskii functional. Compared to s...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer US
2017
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| Online Access: | http://hdl.handle.net/1721.1/106906 |
| _version_ | 1826211433403121664 |
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| author | Bauchspiess, Adolfo Ishihara, João Y. Borges, Geovany A. Figueredo, Luis F. C. |
| author2 | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory |
| author_facet | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Bauchspiess, Adolfo Ishihara, João Y. Borges, Geovany A. Figueredo, Luis F. C. |
| author_sort | Bauchspiess, Adolfo |
| collection | MIT |
| description | This paper addresses the H∞ output tracking problem for a class of nonlinear systems subjected to model uncertainties and with interval time-varying delay. The stability of the nonlinear time-delay system is analyzed with a novel delay-interval-dependent Lyapunov–Krasovskii functional. Compared to state-of-the-art criteria for linear and nonlinear time-delay systems, less conservative stability conditions are derived with the introduction of new delay-interval-dependent terms and the exploitation of the delay subintervals size. The proposed analysis considers that the delay derivative is either upper and lower bounded, bounded above only, or unbounded, i.e., no restrictions are cast upon the derivative. Numerical examples are provided to enlighten the importance and advantages of the present criterion which outperforms previous criteria in time-delay systems literature. Also, an additional example is provided to highlight the effectiveness of the proposed H∞ output tracking control design technique for complex nonlinear systems with time-varying delay. |
| first_indexed | 2024-09-23T15:06:07Z |
| format | Article |
| id | mit-1721.1/106906 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:06:07Z |
| publishDate | 2017 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1069062022-09-29T12:42:31Z Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays Robust H∞ Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays Bauchspiess, Adolfo Ishihara, João Y. Borges, Geovany A. Figueredo, Luis F. C. Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Figueredo, Luis F. C. This paper addresses the H∞ output tracking problem for a class of nonlinear systems subjected to model uncertainties and with interval time-varying delay. The stability of the nonlinear time-delay system is analyzed with a novel delay-interval-dependent Lyapunov–Krasovskii functional. Compared to state-of-the-art criteria for linear and nonlinear time-delay systems, less conservative stability conditions are derived with the introduction of new delay-interval-dependent terms and the exploitation of the delay subintervals size. The proposed analysis considers that the delay derivative is either upper and lower bounded, bounded above only, or unbounded, i.e., no restrictions are cast upon the derivative. Numerical examples are provided to enlighten the importance and advantages of the present criterion which outperforms previous criteria in time-delay systems literature. Also, an additional example is provided to highlight the effectiveness of the proposed H∞ output tracking control design technique for complex nonlinear systems with time-varying delay. Brazil. National Council for Scientific and Technological Development Coordenação de Aperfeiçoamento de Pessoal de Nível Superior 2017-02-10T19:50:48Z 2017-02-10T19:50:48Z 2013-12 2016-05-23T12:14:26Z Article http://purl.org/eprint/type/JournalArticle 0278-081X 1531-5878 http://hdl.handle.net/1721.1/106906 Figueredo, Luis F. C. et al. “Robust H ∞ Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays.” Circuits, Systems, and Signal Processing 33.5 (2014): 1451–1471. en http://dx.doi.org/10.1007/s00034-013-9707-z Circuits, Systems, and Signal Processing Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Science+Business Media New York application/pdf Springer US Springer US |
| spellingShingle | Bauchspiess, Adolfo Ishihara, João Y. Borges, Geovany A. Figueredo, Luis F. C. Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title | Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title_full | Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title_fullStr | Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title_full_unstemmed | Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title_short | Robust H[subscript ∞] Output Tracking Control for a Class of Nonlinear Systems with Time-Varying Delays |
| title_sort | robust h subscript ∞ output tracking control for a class of nonlinear systems with time varying delays |
| url | http://hdl.handle.net/1721.1/106906 |
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