Improving closed-loop stability of second-order LTI systems by hybrid static output feedback

Guisheng Zhai, Shigemasa Takai, Anthony N. Michel, Xuping Xu

Research output: Contribution to journalConference article


In this paper, we consider the problem of improving the stability properties of a class of second-order LTI systems by hybrid static output feedback. The improvement is measured in term of the stability index defined in the paper, and the systems under consideration are stabilizable with certain stability index by a single static output feedback. We show that an arbitrary desired stability index can be achieved for the system by designing a hybrid controller composed of two static output feedbacks and a conic switching law. An example is given to demonstrate the applicability of our result.

Original languageEnglish
Pages (from-to)2792-2797
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2002 Dec 1
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: 2002 Dec 102002 Dec 13



  • Conic switching law
  • Hybrid static output feedback
  • Second-order LTI system
  • Stability index
  • Stabilization

ASJC Scopus subject areas

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

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