Robust Stable Conditions Based on the Quadratic Form Lyapunov Function

2차 형식 Lyapunov 함수에 기초한 강인한 안정조건

  • Lee, Dong-Cheol (Division of Electrical Control & Instrumentation Engineering Pukyong National University) ;
  • Bae, Jong-Il (Division of Electrical Control & Instrumentation Engineering Pukyong National University) ;
  • Jo, Bong-Kwan (Division of Electrical Control & Instrumentation Engineering Pukyong National University) ;
  • Bae, Chul-Min (Division of Electrical Control & Instrumentation Engineering Pukyong National University)
  • 이동철 (부경대학교 전기.제어계측공학부) ;
  • 배종일 (부경대학교 전기.제어계측공학부) ;
  • 조봉관 (부경대학교 전기.제어계측공학부) ;
  • 배철민 (부경대학교 전기.제어계측공학부)
  • Published : 2004.07.14

Abstract

Robust stable analysis with the system bounded parameteric variation is very important among the various control theory. This study is to investigate the robust stable conditions using the quadratic form Lyapunov function in which the coefficient matrix is affined linear system. The quadratic stability using the quadratic form Lyapunov function is not investigated yet. The Lyapunov unction is robust stable not to be dependent by the variable parameters, which means that the Lyapunov function is conservative. We suggest the robust stable conditions in the Lyapunov function in which the variable parameters are dependent in order to reduce the conservativeness of quadratic stability.

Keywords