Complexity of constrained switching for switched nonlinear systems with average dwell time: novel characterization

Georgi M. Dimirovski, Jiqiang Wang, Hong Yue

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

In so far developed theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time, which represents a constraint even when extremely small. Thus currently most of it appears characterized by some slow switching condition with average dwell time satisfying a certain lower bound. However, in cases of nonlinear systems, when the switching seizes to be slow there may well appear non-expected complexity phenomena of particularly different nature. A fast switching condition with average dwell time satisfying an upper bound is explored and established. Thus the theory is extended by shading new light on the underlying, switching caused, system complexities. 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 multiple-Lyapunov functions approach is the analysis framework.
LanguageEnglish
Title of host publication2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC)
Place of PublicationPiscataway, NJ.
PublisherIEEE
Pages2376-2381
Number of pages6
ISBN (Electronic)9781509018970
DOIs
Publication statusPublished - 9 Feb 2017
Event2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC) - Budapest, Hungary
Duration: 9 Oct 201612 Oct 2016

Conference

Conference2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC)
Abbreviated titleIEEE SMC2016
CountryHungary
CityBudapest
Period9/10/1612/10/16

Fingerprint

Nonlinear systems
Switching systems
Lyapunov functions
System stability

Keywords

  • switches
  • Lyapunov methods
  • switched systems
  • nonlinear systems
  • stability analysis
  • power system stability

Cite this

Dimirovski, G. M., Wang, J., & Yue, H. (2017). Complexity of constrained switching for switched nonlinear systems with average dwell time: novel characterization. In 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC) (pp. 2376-2381). Piscataway, NJ.: IEEE. https://doi.org/10.1109/SMC.2016.7844594
Dimirovski, Georgi M. ; Wang, Jiqiang ; Yue, Hong. / Complexity of constrained switching for switched nonlinear systems with average dwell time : novel characterization. 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Piscataway, NJ. : IEEE, 2017. pp. 2376-2381
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abstract = "In so far developed theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time, which represents a constraint even when extremely small. Thus currently most of it appears characterized by some slow switching condition with average dwell time satisfying a certain lower bound. However, in cases of nonlinear systems, when the switching seizes to be slow there may well appear non-expected complexity phenomena of particularly different nature. A fast switching condition with average dwell time satisfying an upper bound is explored and established. Thus the theory is extended by shading new light on the underlying, switching caused, system complexities. 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 multiple-Lyapunov functions approach is the analysis framework.",
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Dimirovski, GM, Wang, J & Yue, H 2017, Complexity of constrained switching for switched nonlinear systems with average dwell time: novel characterization. in 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC). IEEE, Piscataway, NJ., pp. 2376-2381, 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC), Budapest, Hungary, 9/10/16. https://doi.org/10.1109/SMC.2016.7844594

Complexity of constrained switching for switched nonlinear systems with average dwell time : novel characterization. / Dimirovski, Georgi M.; Wang, Jiqiang; Yue, Hong.

2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Piscataway, NJ. : IEEE, 2017. p. 2376-2381.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

TY - GEN

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N2 - In so far developed theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time, which represents a constraint even when extremely small. Thus currently most of it appears characterized by some slow switching condition with average dwell time satisfying a certain lower bound. However, in cases of nonlinear systems, when the switching seizes to be slow there may well appear non-expected complexity phenomena of particularly different nature. A fast switching condition with average dwell time satisfying an upper bound is explored and established. Thus the theory is extended by shading new light on the underlying, switching caused, system complexities. 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 multiple-Lyapunov functions approach is the analysis framework.

AB - In so far developed theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time, which represents a constraint even when extremely small. Thus currently most of it appears characterized by some slow switching condition with average dwell time satisfying a certain lower bound. However, in cases of nonlinear systems, when the switching seizes to be slow there may well appear non-expected complexity phenomena of particularly different nature. A fast switching condition with average dwell time satisfying an upper bound is explored and established. Thus the theory is extended by shading new light on the underlying, switching caused, system complexities. 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 multiple-Lyapunov functions approach is the analysis framework.

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Dimirovski GM, Wang J, Yue H. Complexity of constrained switching for switched nonlinear systems with average dwell time: novel characterization. In 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Piscataway, NJ.: IEEE. 2017. p. 2376-2381 https://doi.org/10.1109/SMC.2016.7844594