Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances
In this paper, a robust stabilization problem for a class of linear time‐varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time‐varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds...
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| Veröffentlicht in: | International journal of robust and nonlinear control 2010-05, Vol.20 (7), p.777-788 |
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| container_title | International journal of robust and nonlinear control |
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| creator | Yan, X. G. Spurgeon, S. K. Edwards, C. |
| description | In this paper, a robust stabilization problem for a class of linear time‐varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time‐varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds which are employed for the control design. A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time delay is synthesized to drive the system to the sliding surface in finite time. Conservatism is reduced by using features of sliding mode control and systems structure. Simulation results show the effectiveness of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/rnc.1470 |
| format | Article |
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G. ; Spurgeon, S. K. ; Edwards, C.</creator><creatorcontrib>Yan, X. G. ; Spurgeon, S. K. ; Edwards, C.</creatorcontrib><description>In this paper, a robust stabilization problem for a class of linear time‐varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time‐varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds which are employed for the control design. A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time delay is synthesized to drive the system to the sliding surface in finite time. Conservatism is reduced by using features of sliding mode control and systems structure. Simulation results show the effectiveness of the proposed approach. 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G.</creatorcontrib><creatorcontrib>Spurgeon, S. K.</creatorcontrib><creatorcontrib>Edwards, C.</creatorcontrib><title>Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances</title><title>International journal of robust and nonlinear control</title><addtitle>Int. J. Robust Nonlinear Control</addtitle><description>In this paper, a robust stabilization problem for a class of linear time‐varying delay systems with disturbances is studied using sliding mode techniques. Both matched and mismatched disturbances, involving time‐varying delay, are considered. The disturbances are nonlinear and have nonlinear bounds which are employed for the control design. A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time delay is synthesized to drive the system to the sliding surface in finite time. Conservatism is reduced by using features of sliding mode control and systems structure. Simulation results show the effectiveness of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd.</description><subject>Delay</subject><subject>Disturbances</subject><subject>Mathematical analysis</subject><subject>nonlinear disturbance</subject><subject>Nonlinearity</subject><subject>Output feedback</subject><subject>Sliding</subject><subject>Sliding mode control</subject><subject>static output feedback control</subject><subject>system with time-varying delay</subject><subject>Time delay</subject><issn>1049-8923</issn><issn>1099-1239</issn><issn>1099-1239</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoso-An-hBy9VCfNNm2PuuoqLAp-gpeQJhONts2apOr-e7uuKB48zcu8DwPzJMkuhX0KkB34Tu3TUQEryQaFqkppxqrVRR5VaVllbD3ZDOEZYOiy0UYSrqOMVhHXx1kfiUHUtVQvJDRW2-6RtE4jUa6L3jXEOE-ibTF9k36-aDU2ck7CPERsA3m38WnZf-1Rk851je1QeqJtiL2vZacwbCdrRjYBd77nVnJ7enIzPkunl5Pz8eE0VYxxSA2XVHNeM6wNZAWXYBBMZjRQWmMBXMnc1JWmhdEaGIWcl7LmFcOSZpnM2Vayt7w78-61xxBFa4PCppEduj4IygvKijLPy19UeReCRyNm3rbDl4KCWHgVg1ex8Dqg6RJ9tw3O_-XE1cX4Lz8YwI8fXvoXwQtW5OL-YiIejm_upnB0Je7YJwN1i3w</recordid><startdate>20100510</startdate><enddate>20100510</enddate><creator>Yan, X. 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A sliding surface is designed and the stability of the corresponding sliding motion is analysed based on the Razumikhin Theorem. Then a static output feedback sliding mode control with time delay is synthesized to drive the system to the sliding surface in finite time. Conservatism is reduced by using features of sliding mode control and systems structure. Simulation results show the effectiveness of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/rnc.1470</doi><tpages>12</tpages></addata></record> |
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| ispartof | International journal of robust and nonlinear control, 2010-05, Vol.20 (7), p.777-788 |
| issn | 1049-8923 1099-1239 1099-1239 |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Delay Disturbances Mathematical analysis nonlinear disturbance Nonlinearity Output feedback Sliding Sliding mode control static output feedback control system with time-varying delay Time delay |
| title | Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances |
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