Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/718618 |
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| _version_ | 1849683407613722624 |
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| author | T. La-inchua P. Niamsup |
| author_facet | T. La-inchua P. Niamsup |
| author_sort | T. La-inchua |
| collection | DOAJ |
| description | This paper addresses the conditions for robust stabilization of a class of uncertain
switched systems with delay. The system to be considered is autonomous and the state
delay is time-varying. Using Lyapunov functional approach, restriction on the derivative
of time-delay function is not required to design switching rule for the robust stabilization
of switched systems with time-varying delays. The delay-dependent stability conditions
are presented in terms of the solution of LMIs which can be solved by various available
algorithms. A numerical example is given to illustrate the effectiveness of theoretical
results. |
| format | Article |
| id | doaj-art-d72b195593c245a28b9dbe4ddad7ef29 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d72b195593c245a28b9dbe4ddad7ef292025-08-20T03:23:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/718618718618Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying DelaysT. La-inchua0P. Niamsup1Department of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandThis paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results.http://dx.doi.org/10.1155/2012/718618 |
| spellingShingle | T. La-inchua P. Niamsup Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays Journal of Applied Mathematics |
| title | Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays |
| title_full | Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays |
| title_fullStr | Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays |
| title_full_unstemmed | Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays |
| title_short | Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays |
| title_sort | robust control for uncertain switched systems with interval nondifferentiable time varying delays |
| url | http://dx.doi.org/10.1155/2012/718618 |
| work_keys_str_mv | AT tlainchua robustcontrolforuncertainswitchedsystemswithintervalnondifferentiabletimevaryingdelays AT pniamsup robustcontrolforuncertainswitchedsystemswithintervalnondifferentiabletimevaryingdelays |