About: Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Optimal pole assignment minimizing the spectral abscissa when algebraic control of linear time-invariant time delay systems (LTI-TDS) is focused in this paper. We concentrate on algebraic controller design approach in the RMS ring resulting in delayed controllers as well. In the case of unstable delayed plants, the use a simple feedback loop results in a characteristic quasipolynomial instead of polynomial is obtained which means that the closed loop has an infinite spectrum. Thus, it is not possible to place all feedback poles to the prescribed positions exactly by a finite number of free controller parameters. The pole placement problem is translated to the minimization of the spectral abscissa which is a nonsmooth nonconvex function of free parameters in many cases. We initially solve the problem via standard quasi-continuous shifting algorithm followed by a comparative utilization of three iterative optimization algorithms; namely, Nelder-Mead algorithm, Extended Gradient Sampling Algorithm and Self-Organizing Migration Algorithm. Simulation control of an unstable LTI-TDS - the roller skater on the swaying bow - serves as an illustrative example for the algebraic control with the spectral abscissa minimization. Optimal pole assignment minimizing the spectral abscissa when algebraic control of linear time-invariant time delay systems (LTI-TDS) is focused in this paper. We concentrate on algebraic controller design approach in the RMS ring resulting in delayed controllers as well. In the case of unstable delayed plants, the use a simple feedback loop results in a characteristic quasipolynomial instead of polynomial is obtained which means that the closed loop has an infinite spectrum. Thus, it is not possible to place all feedback poles to the prescribed positions exactly by a finite number of free controller parameters. The pole placement problem is translated to the minimization of the spectral abscissa which is a nonsmooth nonconvex function of free parameters in many cases. We initially solve the problem via standard quasi-continuous shifting algorithm followed by a comparative utilization of three iterative optimization algorithms; namely, Nelder-Mead algorithm, Extended Gradient Sampling Algorithm and Self-Organizing Migration Algorithm. Simulation control of an unstable LTI-TDS - the roller skater on the swaying bow - serves as an illustrative example for the algebraic control with the spectral abscissa minimization. (en)
Title	Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS (en)
skos:prefLabel	Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS (en)
skos:notation	RIV/70883521:28140/12:43868600!RIV13-MSM-28140___
http://linked.open...avai/predkladatel	Fakulta aplikované informatiky
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED2.1.00/03.0089)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Navrátil, Pavel Pekař, Libor Prokop, Roman
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Tomáše Bati ve Zlíně / Fakulta aplikované informatiky
http://linked.open...dnocenehoVysledku	170341
http://linked.open...ai/riv/idVysledku	RIV/70883521:28140/12:43868600
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Algebraic approaches, Time delay, Pole assignment, Parameters optimization, Minimization, Numerical methods. (en)
http://linked.open.../riv/klicoveSlovo	Minimization Parameters optimization Algebraic approaches Time delay Pole assignment Numerical methods.
http://linked.open...ontrolniKodProRIV	[9BAE22A7D109]
http://linked.open...v/mistoKonaniAkce	Brescia
http://linked.open...i/riv/mistoVydani	Brescia
http://linked.open...i/riv/nazevZdroje	Proceedings of IFAC Conference on Advances in PID Control
http://linked.open...in/vavai/riv/obor	JC
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	The Centre of Security, Information and Advanced Technologies (CEBIA-Tech)
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Navrátil, Pavel Pekař, Libor Prokop, Roman
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-03-28 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	IFAC
https://schema.org/isbn	978-3-902661-45-6
http://localhost/t...ganizacniJednotka	28140
is http://linked.open...avai/riv/vysledek of	Spectral Abscissa Minimization when Algebraic Control of Unstable LTI-TDS

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