Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

The robust control for a linear time-varying system using state transformation

상태 변환을 이용한 선형 시변 시스템에 대한 강건한 제어

  • Cho, Do-Hyeoun (Samsung Biomedical Research Institute) ;
  • Lee, Sang-Hyo (Dept.of Control Instrumentation Engineering, Kwangwoon University)
  • 조도현 (삼성생명과학연구소) ;
  • 이상효 (광운대학교 제어계측공학과)
  • Published : 1998.02.01

Abstract

This paper is focussed on the problem of robustly stabilizing a transformable linear time-varying system. The considered system is a class of state feedback transformable linear systems. First, the real linear time-varying system is transformed into the linear time invariant system composed with the time-invariant linear part and the time-varying uncertainty part. Second, the solution to a quadratic stabilization problem in the transformed linear system is give via' Lyapunov methods. Then this solution is used to construct a stabilizing linear control law for the real linear time-varying system.

Keywords

File

Download PDF

References

  1. SIAM J. Control and Optimization v.29 no.6 H∞ control of linear time-varying systems : A state space approach R. Ravi;K. M. Nagpal;P. P. Khargonekar
  2. Systems and Control Letters v.5 Uniformly optimal control of linear time-varying systems A. Feintuch;B. A. Francis
  3. IEEE Trans. Auto. Contr. v.35 no.3 Robust stabilization of uncertain linear systems: quadratic stabilizability and H∞ control theory P. P. Khargonekar;R. Petersen;K. Zhou
  4. IEEE Trans. Auto. Contr. v.37 no.8 Robust H∞ control for linear systems with norm-bounded time-varying uncertainty L. Xie;C. E. de Souza
  5. 광운대학교, 박사학위 논문 완전 선형화 방법에 의한 로보트 매니퓰레이터의 강건한 제어 이종용
  6. 전기학회 논문집 v.42 no.5 확장된 비선형 궤환 선형화를 이용한시변 비선형 제어 이종용;이상효
  7. Nonlinear System Analysis M. Vidyasagar
  8. Nonlinear Control Systems A. Isidori
  9. SIAM J. Contr. Optimiz. v.26 no.6 Stabilization of an uncertain linear system in which uncertain parameters enter into the input matrix I. R. Petersen
  10. Syst. Contr. Lett. v.8 A. stabilization algorithem for a class of uncertain linear systems I. R. Petersen
  11. J. Optimiz. Theory Appl. v.46 no.4 Necessary and sufficient conditions for quadratic stabilizability of an uncertain linear systems B. R. Barmish
  12. Automatica v.29 no.1 Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems R. Marino;P. Tomei
  13. Linear Time-Varying Systems Control and Adaptation K. S. Tsakalis;P. A. Ioannou
  14. Applied Nonlinear Control J. J. E. Slotine;W. Li