File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/CCA.2012.6402371
- Scopus: eid_2-s2.0-84873130556
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Conference Paper: Robust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functions
Title | Robust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functions |
---|---|
Authors | |
Keywords | Control problems Eigenvalue problem Equilibrium point Estimation problem Generalized eigenvalue problems |
Issue Date | 2012 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000166 |
Citation | The 2012 IEEE International Conference on Control Applications (CCA 2012), Dubrovnik, Croatia, 3-5 October 2012. In IEEE CCA Proceedings, 2012, p. 1086-1091, article no. 6402371 How to Cite? |
Abstract | This paper addresses the estimation and control of the robust domain of attraction (RDA) of equilibrium points through rational Lyapunov functions (LFs). Specifically, continuous-time uncertain polynomial systems are considered. The uncertainty is represented by a vector that affects poly-nomially the system and is constrained in a semialgebraic set. The estimation problem consists of computing the largest estimate of the RDA (LERDA) provided by a given rational LF. The control problem consists of computing a polynomial static output controller of given degree for maximizing such a LERDA. It is shown that lower bounds of the LERDA in the estimation problem, or the maximum achievable LERDA in the control problem, can be obtained by solving either an eigenvalue problem or a generalized eigenvalue problem with smaller dimension. The conservatism of these lower bounds can be reduced by increasing the degree of some multipliers introduced in the construction of the optimization problems. Some numerical examples illustrate the use of the proposed results. © 2012 IEEE. |
Description | 2012 IEEE International Conference on Control Applications (CCA) is part of 2012 IEEE Multi-Conference on Systems and Control October 3-5, 2012. Dubrovnik, Croatia |
Persistent Identifier | http://hdl.handle.net/10722/184983 |
ISBN |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chesi, G | en_US |
dc.date.accessioned | 2013-07-15T10:22:16Z | - |
dc.date.available | 2013-07-15T10:22:16Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | The 2012 IEEE International Conference on Control Applications (CCA 2012), Dubrovnik, Croatia, 3-5 October 2012. In IEEE CCA Proceedings, 2012, p. 1086-1091, article no. 6402371 | en_US |
dc.identifier.isbn | 978-14673-4503-3 | - |
dc.identifier.uri | http://hdl.handle.net/10722/184983 | - |
dc.description | 2012 IEEE International Conference on Control Applications (CCA) is part of 2012 IEEE Multi-Conference on Systems and Control October 3-5, 2012. Dubrovnik, Croatia | - |
dc.description.abstract | This paper addresses the estimation and control of the robust domain of attraction (RDA) of equilibrium points through rational Lyapunov functions (LFs). Specifically, continuous-time uncertain polynomial systems are considered. The uncertainty is represented by a vector that affects poly-nomially the system and is constrained in a semialgebraic set. The estimation problem consists of computing the largest estimate of the RDA (LERDA) provided by a given rational LF. The control problem consists of computing a polynomial static output controller of given degree for maximizing such a LERDA. It is shown that lower bounds of the LERDA in the estimation problem, or the maximum achievable LERDA in the control problem, can be obtained by solving either an eigenvalue problem or a generalized eigenvalue problem with smaller dimension. The conservatism of these lower bounds can be reduced by increasing the degree of some multipliers introduced in the construction of the optimization problems. Some numerical examples illustrate the use of the proposed results. © 2012 IEEE. | - |
dc.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000166 | - |
dc.relation.ispartof | IEEE Conference on Control Applications (CCA) Proceedings | en_US |
dc.subject | Control problems | - |
dc.subject | Eigenvalue problem | - |
dc.subject | Equilibrium point | - |
dc.subject | Estimation problem | - |
dc.subject | Generalized eigenvalue problems | - |
dc.title | Robust domain of attraction: computing and controlling estimates with non-polynomial Lyapunov functions | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
dc.identifier.authority | Chesi, G=rp00100 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CCA.2012.6402371 | - |
dc.identifier.scopus | eid_2-s2.0-84873130556 | - |
dc.identifier.hkuros | 216391 | en_US |
dc.identifier.spage | 1086 | - |
dc.identifier.epage | 1091 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 130718 | - |