DOI QR코드

DOI QR Code

Stability Margin of Discrete-Time LQR with Cross-Product Term in Performance Index

가격함수에 교차곱항이 포함된 이산시간 LQR의 안정성 여유

  • 최재원 (부산대학교 기계공학부 및 기계기술연구소) ;
  • 황태현 (부산대학교 기계공학부 및 기계기술연구소)
  • Published : 2002.10.01

Abstract

The guaranteed stability margin of LQ optimal regulators with cross-product terms in a performance index is derived for the discrete-time case. In order to obtain the guaranteed stability margin, the singular value of the return difference matrix is examined. A numerical simulation is provided to demonstrate the validity of the derived stability margin.

Keywords

References

  1. N. A. Lehtomaki, N. R. Sandell, Jr., and M. Athans, 'Robustness results in Linear-Quadratic gaussian based multivariable control designs,' IEEE Transactions on Automatic Control, Vol. AC-26, No. 1, pp. 75-92, February 1981 https://doi.org/10.1109/TAC.1981.1102565
  2. D. Chung, T. Kang, and J. G. Lee, 'Stability robustness of LQ optimal regulators for the performance index with Control, Vol. AC-39, No. 8, pp. 1698-1702, August 1994 https://doi.org/10.1109/9.310055
  3. U. Shaked, 'Guaranteed stability margins for the Discrete-Time linear quadratic optimal regulator,' IEEE transactions on Automatic Control, Vol. AC-31, No. 2, pp. 162-165, February 1986 https://doi.org/10.1109/TAC.1986.1104222
  4. H. Rehbinder and M. Sanfridson, 'Scheduling of a limited communication channel for optimal control,' Proceedings of the 39th IEEE Conference on Decision and Control, pp. 1011-1016, December 2000 https://doi.org/10.1109/CDC.2000.912907
  5. K. J. Astrom and Witternmark, Computer Controlled System: Theory and Design, Prentice-Hall, 1990
  6. V. Kucera, Analysis and Design of Discrete Linear Systems: Theory and Design, Prentice-Hall, 1990
  7. V. Kucera, Analysis and Design of Discrete Linear Control Systems, Prentice-Hall, 1991
  8. 김종식, 한명철, 이민철, 최재원, 제어시스템설계, 청문각, pp. 596-597, 1998