The Controller Design for a Class of Time-Varying Linear System via I/O Transformation

입출력 변환을 이용한 선형 시변 시스템의 제어기 설계

  • Cho, Do-Hyeoun (Dept. of Digital Electronic & Information, Inha Technical College) ;
  • Lee, Sang-Hun (Division of General Education, Kwang-woon University) ;
  • Lee, Jong-Yong (Division of General Education, Kwang-woon University)
  • 조도현 (인하공업전문대학 디지털전자정보과) ;
  • 이상훈 (광운대학교 교양학부) ;
  • 이종용 (광운대학교 교양학부)
  • Published : 2006.09.25


In this paper, we consider the input-output(I/O) transformation for the time-varying linear system and get the time-invarying linear system. And we present the necessary sufficient condition for the I/O transformation. The transformed system represent the system with the multiple integral. We verify the proposal algorithm via the example and examine.


  1. AMATO F., CELENTANO G. and GAROFALO F., 'New sufficient conditions for the stability of slowly varying linear systems', IEEE Trans. Autom. Control, Vol 38, pp. 1409-1411, 1993
  2. LAWRENCE, D.A. and RUGH W.J., 'On a stability theorem for nonlinear systems with slowly varying inputs', IEEE Trans. Autom. Control, Vol 35, pp. 860-864, 1990
  3. ISIDORI A., 'Nonlinear Control Systems', Springer-Verlag, London, 1995
  4. DIAO Y. and PASSINO K.M., 'Adaptive control for a class of nonlinear time-varying systems', Proceedings of the ACC, Arlington, VA, pp. 4161-4166, June 2001
  5. 조도현, 이상효, '상태 변환을 이용한 선형 시변 시스템에 대한 강건한 제어', 제어자동화시스템공학 논문지, 제4권, 제1호, pp1-9, 1998
  6. Choi H.L. and LIM J.T., 'Feedback linearisation ' of time-varying nonlinear systems via time-varying diffeomorphism' lEE Proc. Control Theory Appl., Vol 150, No 3, pp. 279-284, 2003
  7. KOSTAS S.T. and PETROS A. I., 'Linear Time-varying Systems', Printice Hall, pp. 29-33, 1993