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An LMI–based heuristic algorithm for vertex reduction in LPV systems
dc.contributor.author | Sanjuan Gómez, Adrián |
dc.contributor.author | Rotondo, Damiano |
dc.contributor.author | Nejjari Akhi-Elarab, Fatiha |
dc.contributor.author | Sarrate Estruch, Ramon |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Automàtica, Robòtica i Visió |
dc.contributor.other | Institut de Robòtica i Informàtica Industrial |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial |
dc.date.accessioned | 2020-02-03T12:10:22Z |
dc.date.available | 2020-02-03T12:10:22Z |
dc.date.issued | 2019 |
dc.identifier.citation | Sanjuan, A. [et al.]. An LMI–based heuristic algorithm for vertex reduction in LPV systems. "International Journal of Applied Mathematics and Computer Science", 2019, vol. 29, núm. 4, p. 725-737. |
dc.identifier.issn | 2083-8492 |
dc.identifier.uri | http://hdl.handle.net/2117/176489 |
dc.description.abstract | The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Automàtica i control |
dc.subject.lcsh | Automatic control |
dc.subject.other | Control system synthesis |
dc.subject.other | Control theory |
dc.subject.other | Linear parameter varying (LPV) paradigm |
dc.subject.other | Linear matrix inequality (LMI) |
dc.subject.other | Gershgorin circles |
dc.subject.other | Gain scheduling |
dc.subject.other | Controller design |
dc.title | An LMI–based heuristic algorithm for vertex reduction in LPV systems |
dc.type | Article |
dc.subject.lemac | Control automàtic |
dc.contributor.group | Universitat Politècnica de Catalunya. SAC - Sistemes Avançats de Control |
dc.contributor.group | Universitat Politècnica de Catalunya. SIC - Sistemes Intel·ligents de Control |
dc.identifier.doi | 10.2478/amcs-2019-0054 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://content.sciendo.com/view/journals/amcs/29/4/article-p725.xml |
dc.rights.access | Open Access |
local.identifier.drac | 26536597 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/AGAUR/2016FIB00285 |
dc.relation.projectid | info:eu-repo/grantAgreement/AGAUR/RIS3CAT/2017 SGR 482 |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-88403-R/ES/SEGURIDAD Y CONTROL EN VEHICULOS AUTONOMOS/ |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/2PE/DPI2016-76493 |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/2PE/MDM-2016-0656 |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN/2PE/FJCI-2016-29019 |
local.citation.author | Sanjuan, A.; Rotondo, D.; Nejjari, F.; Sarrate, R. |
local.citation.publicationName | International Journal of Applied Mathematics and Computer Science |
local.citation.volume | 29 |
local.citation.number | 4 |
local.citation.startingPage | 725 |
local.citation.endingPage | 737 |
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