Skip to main content
Top

2017 | OriginalPaper | Chapter

3. Switching Stabilization of Switched Systems Composed of Unstable Subsystems

Authors : Xudong Zhao, Yonggui Kao, Ben Niu, Tingting Wu

Published in: Control Synthesis of Switched Systems

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

As mentioned in Chap. 2, for a switched system, even all its subsystems are stable, it may fail to preserve stability under arbitrary switching, but may be stable under restricted switching signals. Therefore, it is of significance to study the controlled-switching stabilization problems of switched systems. The controlled switching may result from the physical constraints of a system or the designers’ intervention [1] which is actually related to the controlled-switching stabilization problem [2]. Generally, the controlled switching in systems could be classified into state-dependent and time-constrained ones.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
2.
go back to reference Lin H, Antsaklis PJ (2007) Switching stabilizability for continuous-time uncertain switched linear systems. IEEE Trans Autom Control 52(4):633–646MathSciNetCrossRef Lin H, Antsaklis PJ (2007) Switching stabilizability for continuous-time uncertain switched linear systems. IEEE Trans Autom Control 52(4):633–646MathSciNetCrossRef
3.
go back to reference Allerhand LI, Shaked U (2013) Robust state-dependent switching of linear systems with dwell time. IEEE Trans Autom Control 58(4):994–1001MathSciNetCrossRefMATH Allerhand LI, Shaked U (2013) Robust state-dependent switching of linear systems with dwell time. IEEE Trans Autom Control 58(4):994–1001MathSciNetCrossRefMATH
4.
go back to reference De Persis C, De Santis R, Morse AS (2003) Switched nonlinear systems with state-dependent dwell-time. Syst Control Lett 50(4):291–302MathSciNetCrossRefMATH De Persis C, De Santis R, Morse AS (2003) Switched nonlinear systems with state-dependent dwell-time. Syst Control Lett 50(4):291–302MathSciNetCrossRefMATH
5.
go back to reference Briat C (2013) Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints. Automatica 49(11):3449–3457MathSciNetCrossRefMATH Briat C (2013) Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints. Automatica 49(11):3449–3457MathSciNetCrossRefMATH
6.
go back to reference Wang D, Wang W, Shi P (2009) Exponential h filtering for switched linear systems with interval time-varying delay. Int J Robust Nonlinear Control 19(5):532–551MathSciNetCrossRefMATH Wang D, Wang W, Shi P (2009) Exponential h filtering for switched linear systems with interval time-varying delay. Int J Robust Nonlinear Control 19(5):532–551MathSciNetCrossRefMATH
7.
go back to reference Zhao X, Zhang L, Shi P, Liu M (2012b) Stability of switched positive linear systems with average dwell time switching. Automatica 48(6):1132–1137MathSciNetCrossRefMATH Zhao X, Zhang L, Shi P, Liu M (2012b) Stability of switched positive linear systems with average dwell time switching. Automatica 48(6):1132–1137MathSciNetCrossRefMATH
8.
9.
go back to reference Zhang L, Gao H (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5):953–958MathSciNetCrossRefMATH Zhang L, Gao H (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5):953–958MathSciNetCrossRefMATH
10.
go back to reference Briat C, Seuret A (2013) Affine characterizations of minimal and mode-dependent dwell-times for uncertain linear switched systems. IEEE Trans Autom Control 58(5):1304–1310MathSciNetCrossRef Briat C, Seuret A (2013) Affine characterizations of minimal and mode-dependent dwell-times for uncertain linear switched systems. IEEE Trans Autom Control 58(5):1304–1310MathSciNetCrossRef
11.
go back to reference Niu B, Zhao J (2013a) Barrier lyapunov functions for the output tracking control of constrained nonlinear switched systems. Syst Control Lett 62(10):963–971MathSciNetCrossRefMATH Niu B, Zhao J (2013a) Barrier lyapunov functions for the output tracking control of constrained nonlinear switched systems. Syst Control Lett 62(10):963–971MathSciNetCrossRefMATH
12.
go back to reference Niu B, Zhao J (2013b) Tracking control for output-constrained nonlinear switched systems with a barrier lyapunov function. Int J Syst Sci 44(5):978–985MathSciNetCrossRefMATH Niu B, Zhao J (2013b) Tracking control for output-constrained nonlinear switched systems with a barrier lyapunov function. Int J Syst Sci 44(5):978–985MathSciNetCrossRefMATH
13.
go back to reference Wang Y, Sun X, Shi P, Zhao J (2013) Input-to-state stability of switched nonlinear systems with time delays under asynchronous switching. IEEE Trans Cybern 43(6):2261–2265CrossRef Wang Y, Sun X, Shi P, Zhao J (2013) Input-to-state stability of switched nonlinear systems with time delays under asynchronous switching. IEEE Trans Cybern 43(6):2261–2265CrossRef
14.
go back to reference Beauzamy B (1988) Introduction to operator theory and invariant subspaces. Elsevier, North-HollandMATH Beauzamy B (1988) Introduction to operator theory and invariant subspaces. Elsevier, North-HollandMATH
Metadata
Title
Switching Stabilization of Switched Systems Composed of Unstable Subsystems
Authors
Xudong Zhao
Yonggui Kao
Ben Niu
Tingting Wu
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-44830-5_3