LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems
This paper concerns static output feedback design of discrete-time linear switched system using switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under arbitrary switching is first given together with 𝛾-performance evaluation. The various conditions are...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2009/362920 |
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| _version_ | 1832550733628571648 |
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| author | Selma Ben Attia Salah Salhi Mekki Ksouri |
| author_facet | Selma Ben Attia Salah Salhi Mekki Ksouri |
| author_sort | Selma Ben Attia |
| collection | DOAJ |
| description | This paper concerns static output feedback design of discrete-time linear switched system using
switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under
arbitrary switching is first given together with 𝛾-performance evaluation. The various conditions
are given through a family of LMIs (Linear Matrix Inequalities) parameterized by a scalar variable
which offers an additional degree of freedom, enabling, at the expense of a relatively small degree
of complexity in the numerical treatment (one line search), to provide better results compared to
previous one. The control is defined as a switched static output feedback which guarantees stability
and 𝛾-performance for the closed-loop system. A numerical example is presented to illustrate the
effectiveness of the proposed conditions. |
| format | Article |
| id | doaj-art-e1d407fde46f41c8b53a100dd8071900 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-e1d407fde46f41c8b53a100dd80719002025-02-03T06:05:58ZengWileyJournal of Control Science and Engineering1687-52491687-52572009-01-01200910.1155/2009/362920362920LMI Formulation for Static Output Feedback Design of Discrete-Time Switched SystemsSelma Ben Attia0Salah Salhi1Mekki Ksouri2Electrical Branch, National Engineering School of Tunis (ENIT), University EL Manar, BP-37, le Belvdere, 1002 Tunis, TunisiaElectrical Branch, National Engineering School of Tunis (ENIT), University EL Manar, BP-37, le Belvdere, 1002 Tunis, TunisiaElectrical Branch, National Engineering School of Tunis (ENIT), University EL Manar, BP-37, le Belvdere, 1002 Tunis, TunisiaThis paper concerns static output feedback design of discrete-time linear switched system using switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under arbitrary switching is first given together with 𝛾-performance evaluation. The various conditions are given through a family of LMIs (Linear Matrix Inequalities) parameterized by a scalar variable which offers an additional degree of freedom, enabling, at the expense of a relatively small degree of complexity in the numerical treatment (one line search), to provide better results compared to previous one. The control is defined as a switched static output feedback which guarantees stability and 𝛾-performance for the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed conditions.http://dx.doi.org/10.1155/2009/362920 |
| spellingShingle | Selma Ben Attia Salah Salhi Mekki Ksouri LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems Journal of Control Science and Engineering |
| title | LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems |
| title_full | LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems |
| title_fullStr | LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems |
| title_full_unstemmed | LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems |
| title_short | LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems |
| title_sort | lmi formulation for static output feedback design of discrete time switched systems |
| url | http://dx.doi.org/10.1155/2009/362920 |
| work_keys_str_mv | AT selmabenattia lmiformulationforstaticoutputfeedbackdesignofdiscretetimeswitchedsystems AT salahsalhi lmiformulationforstaticoutputfeedbackdesignofdiscretetimeswitchedsystems AT mekkiksouri lmiformulationforstaticoutputfeedbackdesignofdiscretetimeswitchedsystems |