Optimization of the Control System Parameters with Use of the New Simple Method of the Largest Lyapunov Exponent Estimation.

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dc.contributor.authorBalcerzak, Marek
dc.contributor.authorDąbrowski, Artur
dc.contributor.authorKapitaniak, Tomasz
dc.contributor.authorJach, Anna
dc.date.accessioned2017-09-07T10:21:27Z
dc.date.available2017-09-07T10:21:27Z
dc.date.issued2013
dc.description.abstractThis text covers application of Largest Lapunov Exponent (LLE) as a criterion for control performance assessment (CPA) in a simulated control system. The main task is to find a simple and effective method to search for the best configuration of a controller in a control system. In this context, CPA criterion based on calculation of LLE by means of a new method [3] is compared to classical CPA criteria used in control engineering [1]. Introduction contains references to previous publications on Lyapunov stability. Later on, description of classical criteria for CPA along with formulae is presented. Significance of LLE in control systems is explained. Moreover, new efficient formula for calculation of LLE [3] is shown. In the second part simulation of the control system used for experiment is described. The next part contains results of the simulation in which typical criteria for CPA are compared with criterion based on value of LLE. In the last part results of the experiment are summed up and conclusions are drawn.pl_PL
dc.identifier.citationMechanics and Mechanical Engineering Vol. 17, No. 3, 2013, str. 225–239en_EN
dc.identifier.issn1428-1511
dc.identifier.urihttp://hdl.handle.net/11652/1703
dc.language.isoenen_EN
dc.publisherLodz University of Technology. Faculty of Mechanical Engineering. Department Division of Dynamics.en_EN
dc.publisherWydawnictwo Politechniki Łódzkiej. Wydział Mechaniczny. Katedra Dynamiki Maszyn.pl_PL
dc.relation.ispartofseriesMechanics and Mechanical Engineering Vol. 17, No. 3, 2013en_EN
dc.subjectLargest Lapunov Exponenten_EN
dc.subjectLLEen_EN
dc.subjectcontrol systemen_EN
dc.subjectparametersen_EN
dc.subjectoptimizationen_EN
dc.subjectcontrolleren_EN
dc.subjectPIDen_EN
dc.subjectinverted pendulumen_EN
dc.subjectIAEen_EN
dc.subjectISEen_EN
dc.subjectITAEen_EN
dc.subjectnajwiększy wykładnik Lapunowapl_PL
dc.subjectsystem sterowaniapl_PL
dc.subjectparametrypl_PL
dc.subjectoptymalizacjapl_PL
dc.subjectkontrolerpl_PL
dc.subjectwahadło odwróconepl_PL
dc.titleOptimization of the Control System Parameters with Use of the New Simple Method of the Largest Lyapunov Exponent Estimation.en_EN
dc.typeArtykułpl_PL
dc.typeArticleen_EN

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