LPV systems with unstable subsystems: A single Lyapunov function solution to stabilizing switching laws
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| Titel: | LPV systems with unstable subsystems: A single Lyapunov function solution to stabilizing switching laws |
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| Autoren: | He, Xu, Dimirovski, Georgi M. |
| Verlagsinformationen: | IEEE |
| Publikationsjahr: | 2013 |
| Bestand: | Doğuş University Institutional Repository (DSpace@Dogus) / Doğuş Üniversitesi Akademik Arşiv Sistemi |
| Schlagwörter: | Lyapunov Mmethods, Control System Synthesis, Convex Programming, Linear Matrix Inequalities, Linear Systems, Time-varying Systems |
| Beschreibung: | Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2013 IEEE International Conference on System Science and Engineering (ICSSE) 4-6 July 2013, Budapest, Hungary ; This investigation presents a synthesis solution for stabilizing switching laws for a class of parameter-varying plants represented via linear LPV systems that has all unstable subsystems. Considered class of LPV systems has state matrices as parametrically affine with parameter varying in a convex set for which all the subsystems are unstable. Stabilization design of switching laws is solved that enforce overall state trajectory that is asymptotically convergent to the equilibrium state. Via the single Lyapunov function approach and the idea of parameter-dependent Lyapunov functions, a set of linear matrix inequalities guaranteeing the existence of solution. Illustrative examples and the respective simulation results are given that demonstrate the effectiveness of this new synthesis design for this class of LPV systems. ; This research was supported in part by the Academic Institutions of the authors, the National Natural Science Foundation of the P.R. China, and the Ministry of Education and Science of the R. Macedonia. |
| Publikationsart: | conference object |
| Dateibeschreibung: | application/pdf |
| Sprache: | English |
| ISBN: | 978-1-4799-0007-7 1-4799-0007-9 |
| Relation: | ICSSE 2013, IEEE International Conference on System Science and Engineering; Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı; 13840654 (INSPEC); https://dx.doi.org/10.1109/ICSSE.2013.6614695; https://hdl.handle.net/11376/2152; 383; 388; WOS:000335399900069; N/A |
| DOI: | 10.1109/ICSSE.2013.6614695 |
| Verfügbarkeit: | https://hdl.handle.net/11376/2152 https://doi.org/10.1109/ICSSE.2013.6614695 |
| Rights: | info:eu-repo/semantics/openAccess |
| Dokumentencode: | edsbas.4722E238 |
| Datenbank: | BASE |
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Nájsť tento článok vo Web of Science | Abstract: | Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2013 IEEE International Conference on System Science and Engineering (ICSSE) 4-6 July 2013, Budapest, Hungary ; This investigation presents a synthesis solution for stabilizing switching laws for a class of parameter-varying plants represented via linear LPV systems that has all unstable subsystems. Considered class of LPV systems has state matrices as parametrically affine with parameter varying in a convex set for which all the subsystems are unstable. Stabilization design of switching laws is solved that enforce overall state trajectory that is asymptotically convergent to the equilibrium state. Via the single Lyapunov function approach and the idea of parameter-dependent Lyapunov functions, a set of linear matrix inequalities guaranteeing the existence of solution. Illustrative examples and the respective simulation results are given that demonstrate the effectiveness of this new synthesis design for this class of LPV systems. ; This research was supported in part by the Academic Institutions of the authors, the National Natural Science Foundation of the P.R. China, and the Ministry of Education and Science of the R. Macedonia. |
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| ISBN: | 9781479900077 1479900079 |
| DOI: | 10.1109/ICSSE.2013.6614695 |