Uncertainty modeling and experiments in H ∞ control of large flexible space structures

IEEE Transactions on Control Systems Technology

Volumn 5, Issue 5, 1997, Pages 504-519

  Boulet, Benoit ^a,b   Francis, Bruce A ^a,c   Hughes, Peter C ^d   Hong, Tony ^d  

^a IEEE   (Canada)

^b HATCH LTD   (Canada)

^c UNIVERSITY OF TORONTO   (Canada)

^d UNIVERSITY OF TORONTO   (Canada)

Author keywords

Coprime factorization; Digital control; Flexible structures; H infinity control; Robustness; Space vehicle control; Uncertain systems; Vibration control

Indexed keywords

DIGITAL CONTROL SYSTEMS; MATHEMATICAL MODELS; MULTIVARIABLE CONTROL SYSTEMS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); VIBRATION CONTROL;

LARGE FLEXIBLE SPACE STRUCTURES (LFSS); LEFT COPRIME FACTORIZATION (LCF); SPACE VEHICLE CONTROL;

FLEXIBLE STRUCTURES;

EID: 0031237918     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/87.623036     Document Type: Article

References (18)

1. G. J. Balas and J. C. Doyle, "Robustness and performance tradeoffs in control design for flexible structures," in Proc. 1991 Amer. Contr. Conf.
2. G. J. Balas, J. C. Doyle, K. Glover, A. Packard, and R. Smith, μ-Analysis and Synthesis Toolbox: User's Guide, The Mathworks Inc., 1991.
3. B. Boulet, B. A. Francis, P. C. Hughes, and T. Hong, "Robust control of large flexible space structures using a coprime factor plant description," in Proc. 1994 Amer. Contr. Conf., Baltimore, MD.
4. ∞ control of large flexible space structures using a coprime factor plant description," Univ. Toronto, Dept. Elect. Comput. Eng., Syst. Contr. Group Rep. no. 9401, 1994.
5. ∞ controller designs," Int. J. Contr., vol. 58, no. 1, pp. 1-19, 1993.
6. G. W. Crocker, P. C. Hughes, and T. Hong, "Real-time computer control of a flexible spacecraft emulator," IEEE Contr. Syst. Mag., vol. 10, no. 1, pp. 3-8, Jan. 1990.
7. E. J. Davison, W. Gesing, and S. H. Wang, "An algorithm for obtaining the minimal realization of a linear time-invariant system and determining if a system is stabilizable-detectable," IEEE Trans. Automat. Contr., vol. 23, pp. 1048-1054, Dec. 1978.
8. ∞ control problems," IEEE Trans. Automat. Contr., vol. 34, pp. 831-847, Aug. 1989.
9. M. K. H. Fan, A. L. Tits, and J. C. Doyle, "Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics," IEEE Trans. Automat. Contr., vol. 36, pp. 25-38, Jan. 1991.
10. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
11. J. P. How, S. R. Hall, and W. M. Haddad, "Robust controllers for the middeck active control experiment using Popov controller synthesis," IEEE Trans. Contr. Syst. Technol., vol. 2, no. 2, pp. 73-87, June 1994.
12. D. G. Laurin, "Development of an optical imaging system for shape monitoring of large flexible structures," Ph.D. dissertation, Univ. Toronto, Dept. Aerospace Eng., 1992.
13. K. B. Lim, P. G. Maghami, and S. M. Joshi, "Comparison of controller designs for an experimental flexible structure," IEEE Contr. Syst. Mag., vol. 12, no. 3, pp. 108-118, June 1992.
14. D. C. McFarlane and K. Glover, Robust Controller Design Using Normalized Coprime Factor Plant Descriptions. New York: Springer-Verlag, 1990.
15. D. G. Meyer, "A fractional approach to model reduction," in Proc. Amer. Contr. Conf., Atlanta, GA, 1988, pp. 1041-1047.
16. R. E. Skelton and P. C. Hughes, "Modal cost analysis for linear matrix-second-order systems," ASME J. Dynamic Syst., Measurement, Contr., vol. 102, pp. 151-158, Sept. 1980.
17. ∞ controllers for an experimental noncollocated flexible structure problem," IEEE Trans. Contr. Syst. Technol., vol. 2, pp. 101-109, June 1994.
18. M. Vidyasagar, Control System Synthesis: A Coprime Factorization Approach. Cambridge, MA: MIT Press, 1985.