A Switching Controller for Stabilization of Uncertain Linear Systems

불확실한 선형시스템의 안정화를 위한 스위칭제어기

  • Kim, Jung-Soo (Dept. of Electronics Eng., Chungnam National Univ.) ;
  • Kim, Byung-Yeun (Dept. of Electronics Eng., Chungnam National Univ.) ;
  • Lyon, Joon (Dept. of Electronics Eng., Chungnam National Univ.)
  • 김정수 (충남대학교 공과대학 전자공학과) ;
  • 김병연 (충남대학교 공과대학 전자공학과) ;
  • 유준 (충남대학교 공과대학 전자공학과)
  • Published : 1991.11.22

Abstract

In order to stabilize linear time-invariant systems with the unknown system matrix, a piecewise constant linear state feedback control law including switching logic is developed. A number of feedback gain matrices are first precomputed by solving the Algebraic Riccati Equation with prescribed degree of stability, and then are switched over in a direction to increase degree of stability. Switching stops when a Lyapunov function shows the decreasing property, and hence switching times are finite.

Keywords