Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control
This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the parameterizations are stabilized individually via an appropriate linear state o...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/315713 |
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| author | M. De la Sen A. Ibeas |
| author_facet | M. De la Sen A. Ibeas |
| author_sort | M. De la Sen |
| collection | DOAJ |
| description | This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the parameterizations are stabilized individually via an appropriate linear state or output feedback stabilizing controller whose existence is first discussed. A main novelty with respect to previous research is that the various individual parameterizations might be continuous-time, discrete-time, or mixed so that the whole switched system is a hybrid continuous/discrete dynamic system. The switching rule governs the choice of the parameterization which is active at each time interval in the switched system. Global asymptotic stability of the switched system is guaranteed for the case when a common Lyapunov function exists for all the individual parameterizations and the sampling period of the eventual discretized parameterizations taking part of the switched system is small enough. Some extensions are also investigated for controlled systems under decentralized or mixed centralized/decentralized control laws which stabilize each individual active parameterization. |
| format | Article |
| id | doaj-art-6928714174714811aa9fbc75fe1b09f2 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6928714174714811aa9fbc75fe1b09f22025-08-20T02:35:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/315713315713Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time ControlM. De la Sen0A. Ibeas1Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, Campus of Leioa (Bizkaia), Aptdo, 644-Bilbao, SpainDepartment of Telecommunication and Systems Engineering, Engineering School, Autonomous University of Barcelona, Cerdanyola del Vallés, Bellaterra, 08193 Barcelona, SpainThis paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the parameterizations are stabilized individually via an appropriate linear state or output feedback stabilizing controller whose existence is first discussed. A main novelty with respect to previous research is that the various individual parameterizations might be continuous-time, discrete-time, or mixed so that the whole switched system is a hybrid continuous/discrete dynamic system. The switching rule governs the choice of the parameterization which is active at each time interval in the switched system. Global asymptotic stability of the switched system is guaranteed for the case when a common Lyapunov function exists for all the individual parameterizations and the sampling period of the eventual discretized parameterizations taking part of the switched system is small enough. Some extensions are also investigated for controlled systems under decentralized or mixed centralized/decentralized control laws which stabilize each individual active parameterization.http://dx.doi.org/10.1155/2009/315713 |
| spellingShingle | M. De la Sen A. Ibeas Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control Discrete Dynamics in Nature and Society |
| title | Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control |
| title_full | Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control |
| title_fullStr | Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control |
| title_full_unstemmed | Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control |
| title_short | Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control |
| title_sort | stability results of a class of hybrid systems under switched continuous time and discrete time control |
| url | http://dx.doi.org/10.1155/2009/315713 |
| work_keys_str_mv | AT mdelasen stabilityresultsofaclassofhybridsystemsunderswitchedcontinuoustimeanddiscretetimecontrol AT aibeas stabilityresultsofaclassofhybridsystemsunderswitchedcontinuoustimeanddiscretetimecontrol |