Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control

Georgi Dimirovski, Jiqiang Wang, Hong Yue, Jovan Stefanovski

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

It is well known, present day theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time. Thus it appears dominantly characterized by some slow switching condition with the average dwell time satisfying a certain lower bound, which implies a constraint nonetheless. In cases of nonlinear systems, there may well appear certain non-expected complexity phenomena of particularly different nature when switching becomes no longer useful. A fast switching condition with average the dwell time satisfying an upper bound is explored and established. A comparison analysis of these innovated characterizations via slightly different overview yielded new results on the transient behaviour of switched nonlinear systems, while preserving the system stability. The approach of multiple Lyapunov functions is used in current analysis and the switched systems framework is believed to be extended slightly. Thus some new insight into the underlying, switching caused, system’s complexities has been achieved.
Original languageEnglish
Title of host publicationAdvanced Control Techniques in Complex Engineering Systems
Subtitle of host publicationTheory and Applications
EditorsYuriy P. Kondratenko, Arkadii A. Chikrii, Vyacheslav F. Gubarev, Janusz Kacprzyk
Place of PublicationCham, Switzerland
PublisherSpringer
Chapter2
Pages35-50
Number of pages16
ISBN (Print)9783030219260
DOIs
Publication statusPublished - 3 Sep 2019

Publication series

NameStudies in Systems, Decision and Control
Volume203
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

Fingerprint

Large scale systems
Nonlinear systems
Switching systems
Lyapunov functions
System stability

Keywords

  • switched systems
  • average dwell time
  • nonlinear systems
  • Lyapunov functions

Cite this

Dimirovski, G., Wang, J., Yue, H., & Stefanovski, J. (2019). Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control. In Y. P. Kondratenko, A. A. Chikrii, V. F. Gubarev, & J. Kacprzyk (Eds.), Advanced Control Techniques in Complex Engineering Systems: Theory and Applications (pp. 35-50). (Studies in Systems, Decision and Control; Vol. 203). Cham, Switzerland: Springer. https://doi.org/10.1007/978-3-030-21927-7_2
Dimirovski, Georgi ; Wang, Jiqiang ; Yue, Hong ; Stefanovski, Jovan. / Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control. Advanced Control Techniques in Complex Engineering Systems: Theory and Applications. editor / Yuriy P. Kondratenko ; Arkadii A. Chikrii ; Vyacheslav F. Gubarev ; Janusz Kacprzyk. Cham, Switzerland : Springer, 2019. pp. 35-50 (Studies in Systems, Decision and Control).
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Dimirovski, G, Wang, J, Yue, H & Stefanovski, J 2019, Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control. in YP Kondratenko, AA Chikrii, VF Gubarev & J Kacprzyk (eds), Advanced Control Techniques in Complex Engineering Systems: Theory and Applications. Studies in Systems, Decision and Control, vol. 203, Springer, Cham, Switzerland, pp. 35-50. https://doi.org/10.1007/978-3-030-21927-7_2

Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control. / Dimirovski, Georgi; Wang, Jiqiang; Yue, Hong; Stefanovski, Jovan.

Advanced Control Techniques in Complex Engineering Systems: Theory and Applications. ed. / Yuriy P. Kondratenko; Arkadii A. Chikrii; Vyacheslav F. Gubarev; Janusz Kacprzyk. Cham, Switzerland : Springer, 2019. p. 35-50 (Studies in Systems, Decision and Control; Vol. 203).

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control

AU - Dimirovski, Georgi

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AU - Yue, Hong

AU - Stefanovski, Jovan

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N2 - It is well known, present day theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time. Thus it appears dominantly characterized by some slow switching condition with the average dwell time satisfying a certain lower bound, which implies a constraint nonetheless. In cases of nonlinear systems, there may well appear certain non-expected complexity phenomena of particularly different nature when switching becomes no longer useful. A fast switching condition with average the dwell time satisfying an upper bound is explored and established. A comparison analysis of these innovated characterizations via slightly different overview yielded new results on the transient behaviour of switched nonlinear systems, while preserving the system stability. The approach of multiple Lyapunov functions is used in current analysis and the switched systems framework is believed to be extended slightly. Thus some new insight into the underlying, switching caused, system’s complexities has been achieved.

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Dimirovski G, Wang J, Yue H, Stefanovski J. Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control. In Kondratenko YP, Chikrii AA, Gubarev VF, Kacprzyk J, editors, Advanced Control Techniques in Complex Engineering Systems: Theory and Applications. Cham, Switzerland: Springer. 2019. p. 35-50. (Studies in Systems, Decision and Control). https://doi.org/10.1007/978-3-030-21927-7_2