Quadratic stabilizability and H disturbance attenuation of switched linear systems via state and output feedback

Research output: Contribution to journalConference article


We consider quadratic stabilizability and H disturbance attenuation of switched systems which are composed of a finite set of linear time-invariant subsystems. The situation is that none of the subsystems is quadratically stable with certain H disturbance attenuation level but a convex combination of the subsystems achieves such performance. We then design a state-dependent switching signal (state feedback) and an output-dependent switching signal (output feedback) such that the entire switched system is quadratically stable with the same H disturbance attenuation level. In the case of state feedback, when the number of subsystems is two, we show that the existence of desired convex combination of subsystems is not only sufficient but also necessary for quadratic stabilizability with the H disturbance attenuation of the switched system.

Original languageEnglish
Article number6426876
Pages (from-to)1935-1940
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2012 Dec 1
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: 2012 Dec 102012 Dec 13



  • convex combination
  • H disturbance attenuation
  • LMI
  • matrix inequalities
  • output feedback
  • quadratic stabilizability
  • state feedback
  • Switched linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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