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Title:Event-triggered second-order sliding mode controller design and implementation
Authors:ID Sarjaš, Andrej (Author)
ID Gleich, Dušan (Author)
Files:.pdf mathematics-11-04314-v2_(1).pdf (2,52 MB)
MD5: C95ECFB29ABF558F69523708D2643DD8
 
URL https://www.mdpi.com/2227-7390/11/20/4314
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:The paper presents an event-triggered higher-order sliding mode controller design. The event-triggering technique is the alternative approach to real-time controller execution, unlike the classic time-triggering technique, which is not time-dependable and is governed by the triggering policy. The technique is suitable for system resource relaxation in case of computation burden or network usage mitigation. The paper describes the stability analysis of the super-twisted sliding mode controller based on input-to-state stability notation. The stability analysis introduces a triggering policy related directly to the ultimate boundness of the system states and preselected sliding variables. The controller time execution with the selected triggering condition prevents the exhibition of the Zeno phenomena, where the minimal inter-event time of the controller has a positive non-zero lower bound. The minimal value of the inter-event time is related directly to the controller parameters and triggering bound, the selection of which is given with the derived stability conditions regarding the designer’s objective. Preventing the fast nonlinear controller execution, especially close to the sliding manifold, also alleviates the chattering phenomena effectively, which is a primal drawback, and limits the usage of the controller on various systems. The method’s efficiency is verified with the hardware-in-the-loop system, where the dynamic and robustness of the triggering approach are compared to the standard time-triggered execution technique.
Keywords:event triggering, sliding mode control, super-twisted controller, chattering alleviation
Publication status:Published
Publication version:Version of Record
Submitted for review:11.09.2023
Article acceptance date:13.10.2023
Publication date:16.10.2023
Publisher:MDPI
Year of publishing:2023
Number of pages:16 str.
Numbering:Vol. 11, no. 20, [article no.] 4314
PID:20.500.12556/DKUM-86526 New window
UDC:621.3
ISSN on article:2227-7390
COBISS.SI-ID:169089027 New window
DOI:10.3390/math11204314 New window
Copyright:© 2023 by the authors
Publication date in DKUM:07.12.2023
Views:523
Downloads:43
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P2-0065
Name:Telematika

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Abstract:Članek predstavlja sintezo dogodkovno praženega regulatorja višjega reda po metodi drsne spremenljivke. Dogodkovno proženje je alternativni pristop, h klasičnemu časovno praženemu izvajanja regulatorja, kjer z razliko klasičnega pristopa ni časovno odvisen in se izvaja glede na predpisan dogodek. Dogodkovno proženje je primerno za sisteme, kjer je pomembno varčevanje z energijo, mrežno vodenje, upravljanje dogodkov z nižjo frekvenco izvajanja in optimizacijo virov z nižjo kompleksnostjo izvajanja nalog. Delo opisuje analizo stabilnosti notranjih stanj 'Super-Twisted' nadzornega algoritma v dogodkovnem načinu. Analiza vpeljuje dogodkovno pravilo proženja, ki zagotavlja strogo omejenost drsne spremenljivke in notranjih stanj. Prav tako se analiza posveča Zeno fenomenu, ki ga je moč odpraviti s pravilno izbiro prožilnega dogodka. Odprava Zeno-fenomena je dokazana s strogo pozitivnim minimalnim časom izvajanja med dvema zaporednima dogodkoma, kjer je čas izvajanja odvisen od izbire parametrov regulatorja. Prav tako je dokazano, da je v dogodkovnem proženju odpravljeno hitro preklapljanje in brstenje izhoda regulatorja blizu ničelne vrednosti drsne spremenljivke v n-dimenzionalnem prostoru. Metoda je preizkušena na realnem sistemu in je verificirana glede na klasično časovno izvedbo regulacijskega algoritma.
Keywords:sprožitev dogodkov, nadzor drsnega načina, krmilniki


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