Linear Optimal Control of Tokamak Fusion Devices

REFERENCES

• L. I. ARTEMENKOV, I. N. GOLOVIN, P. I. KOZLOV et al., “Experiments on Equilibrium in the Uncased TO-1 Tokamak Device by Means of a Feedback System,” Nucl. Fusion, 12, Suppl., 27 (1972).
   Web of Science ®Google Scholar
• J. HUGILL and A. GIBSON, “Servo-Control of Plasma Position in Cleo-Tokamak,” Nucl. Fusion, 14, 611 (1974).
   Web of Science ®Google Scholar
• J. L. ANDERSON, R. S. BOOTH, R. J. COLCHIN, R. V. MISKELL, and J. M. BAILEY, “Feedback Control for Plasma Equilibrium in ORMAK,” Nucl. Fusion, 16, 629 (1976).
   Web of Science ®Google Scholar
• M. FUGIWARA, S. ITOH, K. MATSUOKA, K. MASUURA, K. MIYAMOTO, and A. OGATA, “Conceptional Design of the Vertical Control System in JIPP T-II,” Jpn. J. Appl. Phys., 14, 675 (1975).
   Web of Science ®Google Scholar
• P. NOLL, R. AIGLE, M. L. BROWNE et al., “Stabilization of Vertical Position and Control of Plasma Shape in JET,” Proc. 11th Symp. Fusion Engineering, Austin, Texas, November 18–22, 1985, Vol. 1, p. 33, Institute of Electrical and Electronics Engineers, New York (1986).
   Google Scholar
• I. KONDO, T. KIMURA, I. YONEKAWA et al., “The JT-60 Central Control System,” Fusion Eng. Des., 5, 69 (1987).
   Web of Science ®Google Scholar
• J. KALNAVARNS, G. W. PACHER, and H. D. PACHER, “Plasma Control on the Tokamak de Varennes,” Proc. 11th Symp. Fusion Engineering, Austin, Texas, November 18–22, 1985, Vol. 1, p. 389, Institute of Electrical and Electronics Engineers, New York (1986).
   Google Scholar
• G. H. NEILSON, G. R. DYER, and P. H. EDMONDS, “A Model for Coupled Plasma Current and Position Feedback Control in the ISX-B Tokamak,” Nucl. Fusion, 24, 1291 (1984).
   Web of Science ®Google Scholar
• E. A. LAZARUS and G. H. NEILSON, “Solutions to the Tokamak Circuit Equations with Force Balance for a Massless Plasma,” Nucl. Fusion, 27, 383 (1987).
   Web of Science ®Google Scholar
• Y. NAGAYAMA, N. NAITO, Y. UEDA, Y. OHKI, and K. MIYAMOTO, “Feedback Control of Vertical Plasma Position in Non-Circular Tokamak TNT-A,” Nucl. Fusion, 24, 1242 (1984).
   Web of Science ®Google Scholar
• M. KIKUCHI, H. NINOMIYA, R. YOSHINO, and S. SEKI, “A Matrix Transfer Function Analysis Applied to the Active Feedback Control System of a Divertor Tokamak,” Nucl. Fusion, 27, 299 (1987).
   Web of Science ®Google Scholar
• M. MORI, N. SUZUKI, T. SHOJI, I. YANAGISAWA, T. TANI, and Y. MATSUZAKI, “Stability Limit of Feedback Control of Vertical Plasma Position in the JFT-2M Tokamak,” Nucl. Fusion, 27, 725 (1987).
   Web of Science ®Google Scholar
• K. M. YOUNG, M. BELL, W. R. BLANCHARD et al., “TFTR Initial Operations,” Plasma Phys. Controlled Fusion, 26, 11 (1984).
   Web of Science ®Google Scholar
• R. GRAN, M. ROSSI, and F. SOBIERAJSKI, “Plasma Position Control for TFTR Using Modern Control Theory,” Proc. 7th Symp. Engineering Problems of Fusion Research, Knoxville, Tennessee, 1977, Vol. 1, p. 1233, Institute of Electrical and Electronics Engineers, New York (1983).
   Google Scholar
• R. GRAN, M. ROSSI, and M. FIRESTONE, “A Survey of the TFTR Feedback Control Design,” Proc. 8th Symp. Engineering Problems of Fusion Research, San Francisco, California, November 13–16, 1979, Vol. 4, p. 1854, Institute of Electrical and Electronics Engineers, New York (1979).
   Google Scholar
• M. FIRESTONE, “Analysis of Modern Optimal Control Theory Applied to Plasma Position and Current Control in TFTR,” IEEE Trans. Plasma Sci., PS-10, 105 (1982).
   Web of Science ®Google Scholar
• A. OGATA and H. NINOMIYA, “Optimal Feedback Control of Plasma Parameters in a Tokamak,” Jpn. J. Appl. Phys., 18, 825 (1979).
   Web of Science ®Google Scholar
• A. OGATA and H. NINOMIYA, “Use of Modern Control Theory in Plasma Control at Neutral Beam Injection,” Proc. 8th Symp. Engineering Problems of Fusion Research, San Francisco, California, November 13–16, 1979, Vol. 4, p. 1879, Institute of Electrical and Electronics Engineers, New York (1979).
   Google Scholar
• JT-60 Team, “Initial Experiments in JT-60,” Plasma Phys. Controlled Fusion, 28, 165 (1986).
   Web of Science ®Google Scholar
• U.S. FED-INTOR and U.S. Contribution to the INTOR Phase 2A Workshop (Oct. 1982).
   Google Scholar
• D. I. BROWN, M. G. BELL, and J. COONROD, “Eddy Current Modelling and Poloidal Field Penetration in TFTR,” Proc. 10th Symp. Fusion Engineering, Philadelphia, Pennsylvania, December 5–9, 1983, Vol. 2, p. 1233, Institute of Electrical and Electronics Engineers, New York (1983).
   Google Scholar
• C. E. KESSEL and M. A. FIRESTONE “Determination of Gross Plasma Equilibrium from Magnetic Multipoles,” Fusion Technol., 10, 1177 (1986).
   Web of Science ®Google Scholar
• D. J. STRICKLER, J. B. MILLER, K. E. ROTHE, and Y.-K. M. PENG, “Equilibrium Modeling of the TFCX Poloidal Field Coil System,” ORNL/FEDC-83/10, Oak Ridge National Laboratory (1984).
   Google Scholar
• T. F. ELBERT, Estimation and Control of Systems, Van Nostrand Reinhold Company, New York (1984).
   Google Scholar
• H. KWAKERNAAK and R. SIVAN, Linear Optimal Control Systems, Wiley-Interscience, New York (1972).
   Google Scholar
• T. E. FORTMANN and K. L. HITZ, An Introduction to Linear Control Systems, Marcel Dekker, New York (1977).
   Google Scholar
• B. D. O. ANDERSON and J. B. MOORE, Linear Optimal Control, Prentice-Hall, Inc., New Jersey (1971).
   Google Scholar
• C. E. KESSEL, “Linear Optimal Control of Plasma Position, Shape, and Current in a Tokamak Fusion Reactor,” PhD Dissertation, University of California, Los Angeles (1987).
   Google Scholar