Sliding mode control with time-varying hyperplane for AMB systems

IEEE/ASME Transactions on Mechatronics

Volumn 3, Issue 1, 1998, Pages 51-59

  Sivrioglu, Selim ^b   Nonami, Kenzo ^a,b  

^a IEEE   (Japan)

^b CHIBA UNIVERSITY   (Japan)

Author keywords

Active magnetic bearing system; Gain scheduling sliding mode control; Linear parameter varying system; Turbo molecular pump

Indexed keywords

CONTROL NONLINEARITIES; GAIN CONTROL; LINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

ACTIVE MAGNETIC BEARINGS (AMB); LINEAR MATRIX INEQUALITY (LMI); LINEAR PARAMETER VARYING (LPV) SYSTEMS; SLIDING MODE CONTROL; TURBOMOLECULAR PUMPS;

MAGNETIC BEARINGS;

EID: 0032022991     PISSN: 10834435     EISSN: None     Source Type: Journal    
DOI: 10.1109/3516.662868     Document Type: Article

References (16)

1. G. Schweitzer, H. Bleuler, and A. Traxler, Active Magnetic Bearings. Zurich, Switzerland: vdf Hochschuverlag AG an der ETH, 1994.
2. ∞/μ, control for a magnetic bearing," in Proc. 12th IFAC World Congr., 1993, vol. 4, p. 393.
3. ∞ robust controllers to a magnetic bearing," IEEE Trans. Contr. Syst. Technol., vol. 4, pp. 484-493, Sept. 1996.
4. K. Nonami and T. Ito, "μ synthesis of flexible rotor bearing systems," IEEE. Trans. Contr. Syst. Technol., vol. 4, pp. 503-512, Sept. 1996.
5. V. I. Utkin, Sliding Modes in Control Optimization. Berlin, Germany: Springer-Verlag, 1992.
6. K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," in Proc. IEEE Int. Workshop on VSS, 1996, p. 1.
7. K. J. Astrom and B. Wittenmark, Adaptive Control. Reading, MA: Addison-Wesley, 1989.
8. J. Shamma and M. Athans, "Guaranteed properties of gain scheduled control of linear parameter-varying plants," Automatica, vol. 27, no. 3, pp. 559-564, 1991.
9. A. Packard, "Gain scheduling via linear fractional transformations," Syst. Contr. Lett., vol. 22, pp. 79-92, 1994.
10. ∞ controllers," IEEE. Trans. Automat. Contr., vol. 40, pp. 853-863, May 1995.
11. ∞ control of linear parameter-varying systems: A design example," Automatica, vol. 31, no. 9, pp. 1251-1261, 1995.
12. D. Young and U. Ozguner, "Frequency shaping compensator design for sliding mode control," Int. J. Contr., vol. 57, no. 5, p. 1005, 1993.
13. ∞/μ control-based frequency-shaped sliding mode control for flexible structures," JSME Int. J., ser. C, vol. 39, no. 3, pp. 493-501, 1996.
14. P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE. Trans. Automat. Contr., vol. 41, pp. 436-442, Mar. 1996.
15. ∞ controller design for AMB systems under gyroscopic and unbalance disturbance effect," in Proc. ISMB, 1996, p. 191.
16. J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, Feedback Control Theory. New York: Macmillan, 1992.