Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay
The problems of robust stability analysis and synthesis for a class of uncertain switched time-delay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities (LMIs) conditions are invest...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/408105 |
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| _version_ | 1849398967575511040 |
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| author | Liguo Zhang Hongfeng Li Yangzhou Chen |
| author_facet | Liguo Zhang Hongfeng Li Yangzhou Chen |
| author_sort | Liguo Zhang |
| collection | DOAJ |
| description | The problems of robust stability analysis and synthesis for a class of uncertain switched time-delay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities (LMIs) conditions are investigated to make such systems a uniform quadratic stability with an L2-gain smaller than a given constant level. System synthesis is to design switched feedback schemes, whether based on state, output measurements, or by using dynamic output feedback, to guarantee that the corresponding closed-loop system satisfies the LMIs conditions. Two numerical examples are provided that demonstrate the efficiency of this approach. |
| format | Article |
| id | doaj-art-9ddef19d28d14b08989291f1c1bdec44 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9ddef19d28d14b08989291f1c1bdec442025-08-20T03:38:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/408105408105Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time DelayLiguo Zhang0Hongfeng Li1Yangzhou Chen2School of Electrical and Control Engineering, Beijing University of Technology, Chaoyang District, Beijing 100124, ChinaSchool of Electrical and Control Engineering, Beijing University of Technology, Chaoyang District, Beijing 100124, ChinaSchool of Electrical and Control Engineering, Beijing University of Technology, Chaoyang District, Beijing 100124, ChinaThe problems of robust stability analysis and synthesis for a class of uncertain switched time-delay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities (LMIs) conditions are investigated to make such systems a uniform quadratic stability with an L2-gain smaller than a given constant level. System synthesis is to design switched feedback schemes, whether based on state, output measurements, or by using dynamic output feedback, to guarantee that the corresponding closed-loop system satisfies the LMIs conditions. Two numerical examples are provided that demonstrate the efficiency of this approach.http://dx.doi.org/10.1155/2010/408105 |
| spellingShingle | Liguo Zhang Hongfeng Li Yangzhou Chen Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay Discrete Dynamics in Nature and Society |
| title | Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay |
| title_full | Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay |
| title_fullStr | Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay |
| title_full_unstemmed | Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay |
| title_short | Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay |
| title_sort | robust stability analysis and synthesis for switched discrete time systems with time delay |
| url | http://dx.doi.org/10.1155/2010/408105 |
| work_keys_str_mv | AT liguozhang robuststabilityanalysisandsynthesisforswitcheddiscretetimesystemswithtimedelay AT hongfengli robuststabilityanalysisandsynthesisforswitcheddiscretetimesystemswithtimedelay AT yangzhouchen robuststabilityanalysisandsynthesisforswitcheddiscretetimesystemswithtimedelay |