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Conference Paper: On the unstable of continuous-time linearized nonlinear systems
Title | On the unstable of continuous-time linearized nonlinear systems |
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Authors | |
Issue Date | 2014 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188 |
Citation | The 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 2316-2321 How to Cite? |
Abstract | It has been shown that quantifying the unstable in linear systems is important for establishing the existence of stabilizing feedback controllers. This paper addresses the problem of quantifying the unstable in continuous-time linearized systems obtained from nonlinear systems for a family of constant inputs, i.e., the largest instability measure for all admissible equilibrium points for all admissible constant inputs. It is supposed that the dynamics of the nonlinear system is polynomial in both state and input, and that the set of constant inputs is a semialgebraic set. Two cases are considered: first, when the equilibrium points are known polynomial functions of the input, and, second, when the equilibrium points are unknown (polynomial or non-polynomial) functions of the input. It is shown that upper bounds of the sought instability measure can be established through linear matrix inequalities (LMIs), whose conservatism can be decreased by increasing the size of such LMIs. Some numerical examples illustrate the proposed results. © 2014 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/211402 |
ISBN | |
ISSN | 2020 SCImago Journal Rankings: 0.395 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2015-07-10T08:00:16Z | - |
dc.date.available | 2015-07-10T08:00:16Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | The 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA., 15-17 December 2014. In Conference Proceedings, 2014, p. 2316-2321 | - |
dc.identifier.isbn | 978-1-4673-6090-6 | - |
dc.identifier.issn | 0191-2216 | - |
dc.identifier.uri | http://hdl.handle.net/10722/211402 | - |
dc.description.abstract | It has been shown that quantifying the unstable in linear systems is important for establishing the existence of stabilizing feedback controllers. This paper addresses the problem of quantifying the unstable in continuous-time linearized systems obtained from nonlinear systems for a family of constant inputs, i.e., the largest instability measure for all admissible equilibrium points for all admissible constant inputs. It is supposed that the dynamics of the nonlinear system is polynomial in both state and input, and that the set of constant inputs is a semialgebraic set. Two cases are considered: first, when the equilibrium points are known polynomial functions of the input, and, second, when the equilibrium points are unknown (polynomial or non-polynomial) functions of the input. It is shown that upper bounds of the sought instability measure can be established through linear matrix inequalities (LMIs), whose conservatism can be decreased by increasing the size of such LMIs. Some numerical examples illustrate the proposed results. © 2014 IEEE. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000188 | - |
dc.relation.ispartof | IEEE Conference on Decision and Control. Proceedings | - |
dc.title | On the unstable of continuous-time linearized nonlinear systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CDC.2014.7039741 | - |
dc.identifier.scopus | eid_2-s2.0-84988234167 | - |
dc.identifier.hkuros | 245058 | - |
dc.identifier.spage | 2316 | - |
dc.identifier.epage | 2321 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 150710 | - |
dc.identifier.issnl | 0191-2216 | - |