Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)
- Volume 13 Issue 6
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- Pages.574-580
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- 2007
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- 1976-5622(pISSN)
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- 2233-4335(eISSN)
DOI QR Code
LQR Controller Design with Pole-Placement
극배치 특성을 갖는 LQR 제어기 설계
- Published : 2007.06.01
Abstract
This paper deals with LQR controller design method tor system having complex poles. The proposed method is capable of systematically calculating weighting matrices based on the pole's moving-range and the relational equation between closed-loop pole(s) and weighting matrices. The method moves complex poles to complex poles or two distinct real poles. This will provide much-needed functionality to apply LQR controller. The example shows the feasibility of the proposed method.
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References
- O. A. Solheim, 'Design of optimal control systems with prescribed eigenvalues,' Int. J. Control, vol. 15. pp. 143-160, 1972 https://doi.org/10.1080/00207177208932136
- M. Saif, 'Optimal linear regulator pole-placement by weighting selection,' Int. J. Control. vol. 50. No. 1, pp. 399-414, 1989 https://doi.org/10.1080/00207178908953369
- B. D. O. Anderson, J. B. Moore, Optimal Control, Prentice-Hall, 1989
- T. Fujinaka and H. Shibata, 'Admissible region for pole positioning with optimal regulator,' Proc. IEEE CDC, Kobe, japan, pp. 3631-3635, 1996 https://doi.org/10.1109/CDC.1996.577178
- T. Fujinaka and S. Omatu, 'Pole placement using optimal regulators,' TIEE japan, vol. 121-C, pp. 240-245, 2001
- 박민호, 홍석교, 'LQR 제어기의 과도 상태 개선 방법에 관한 연구,' 대한전기학회 하계학술대회 논문집, pp. 2239-2241, 2004
- 박민호, 홍석교, 이상혁, '근의 이동범위를 고려한 LQR 제어기 설계,' 제어. 자동화.시스템공학 논문집, 제 11 권 제 10 호, pp. 864-869, 2005 https://doi.org/10.5302/J.ICROS.2005.11.10.864
- A. P. Sage, C. C. White, Optimum System Control, Prentice-Hall, 1977
- K. Ogata, State Space Analysis of Control Systems, Prentice-Hall, pp. 119-120, 1967
- G. Strang, Linear Algebra and its Applications, 3rd Ed. Harcourt Brace & Company, pp. 339-340, 1988