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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-5249 1687-5257 |