Stability margins of singular perturbation systems via state‐feedback control

Chiu‐Pin ‐P Cheng, Tzuu‐Hseng S. Li, York‐Yih ‐Y Sun

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7 Citations (Scopus)


The gain and phase margins of singular perturbation systems are analysed under unmodelled high‐frequency dynamics control, composite control, and the original full‐order linear quadratic (LQ) control. The analysis is on the basis that there is a good relation between the minimum singular value of return difference transfer matrix and the stability margins. We begin with the examination of stability margins of subsystems and then show that state‐feedback control design of subsystems could preserve gain and phase margins for the original full‐order singularly perturbed system if the singular perturbation parameter epsiv; is sufficiently small. The effectiveness of ε on stability margins is formulated and determined. It is found that the effectiveness can be evaluated by a simple method. Two examples are exploited to illustrate the analytic results.

Original languageEnglish
Pages (from-to)211-222
Number of pages12
JournalInternational Journal of Robust and Nonlinear Control
Issue number3
Publication statusPublished - 1992 Oct

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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