대한전기학회논문지:시스템및제어부문D (The Transactions of the Korean Institute of Electrical Engineers D)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

원판내 고유치 배정 조건을 갖는 불확정성 선형 시스템의H_{\infty}제어기 설계

Design of H_{\infty} Control for Uncertain Linear Systems with Eigenvalue Assignment Constraint in a Disk

  • 마삼선 (한전전력연구원 원전 I&C 그룹) ;
  • 김진훈 (충북대학교 전기전자공학과)
  • 발행 : 2000.09.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This paper deals with the design of H$\infty$ control for uncertain linear systems with the regional eigenvalue assignment constraint. The considered region is a disk in the left half plane and the two types of time-varying uncertainties are considered. We presents a state feedback control that minimize the L2 gain from the disturbance to the measured output as well as it guarantees that all eigenvalues of closed loop are inside a disk. The state feedback control is obtained by checking the feasibility of linear matrix inequalities (LMI's) which are numerically tractable. Finally we give an example to show the applicability and usefulness of our results.

키워드

참고문헌

  1. K. Furuta and S.B. Kim, 'Pole assignment in a specified disk' , IEEE Trans. Automat. Contr., vol AC-32, pp.423-427, 1987 https://doi.org/10.1109/TAC.1987.1104624
  2. Y. T. Juang, Z. C. Hong and Y. T. Wang, 'Lyapunov approach to robust pole-assignment analysis', Int. J. Contr., vol.49, pp.921-927, 1989
  3. A. Rachid, 'Robustness of pole assignment in a specified region for perturbed system' , Int. J. System Sci., vlo.21, pp.579-585, 1990
  4. W.M. Haddad and D.S. Bernstein, 'Controller design with regional pole constraints' , IEEE Trans. Automat. Contr., vol.37, pp.54-69, 1992 https://doi.org/10.1109/9.109638
  5. G. Garcia and J. Bernussou, 'Pole assignment for uncertain systems in a specified disk by state feedback', IEEE Trans. Automat. Contr., vol.40, pp.184-189, 1995 https://doi.org/10.1109/9.362872
  6. S.O.R. Moheimani and I.R. Peterson, 'Quadratic guaranteed cost control with robust pole placement', IEE Proc.- Control Theory Appl., vol. 143, pp.37-43, 1996 https://doi.org/10.1049/ip-cta:19960058
  7. M. Chilali and P. Gahinet, '$H{\infty}$ design with pole placement constraints: An LMI approach' , IEEE Trans. Automat. Contr., vol.41, pp.358-367, 1996 https://doi.org/10.1109/9.486637
  8. S. Boyd, L.E. Ghaoui, E. Feron and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM, 1994
  9. 김진훈, '시변 불확정성을 갖는 선형시스템의 강인 극점 배치', Trans. KIEE. Vol.48a. pp.31-35. 1999