Symbolic manipulation techniques for low order LFT-based parametric uncertainty modelling

International Journal of Control

Volumn 79, Issue 11, 2006, Pages 1485-1494

  Hecker, S ^a   Varga, A ^a  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

LINEAR PARAMETRIC MODELS; SYMBOLIC PROCESSING;

UNCERTAIN SYSTEMS;

EID: 33747627602     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600725644     Document Type: Article

References (23)

1. J.P. Ackermann, T. Blue, L. Bünte, L. Güvcnc, D. Kaesbauer, M. Kordt, M. Muhler and D. Odenthal, Robust Control, The Parameter Space Approach, Communications and Control Engineering, 2nd ed., London, Springer, 2002.
2. ∞ controllers", IEEE Trans. Auto. Cont., 40, pp. 853-864, 1995.
3. N.K. Bose., Applied Multidimensional Systems Theory, New York, Van Nostrand Reinhold Company, 1982.
4. Cockburn, J.C. and B.G. Morton, "Linear fractional representation of uncertain systems", Automatica, 33, pp. 1263-1271, 1997.
5. R. D'Andrea and S. Khatri, "Kalman decomposition of linear fractional transformation representations and minimality", in Proc. of the American Control Conference, New Mexico: Albuquerque, 1997, pp. 3557-3561.
6. M. Dettori and C.W. Scherer, "Control design for a compact disc player with multiple norm specifications", Control Systems Technology, 10, pp. 635-645, 2002.
7. C. Doll and A. Knauf, "Comparison in terms of size of several LFT models for the lateral motion of a generic fighter aircraft", in Proc. AIAA Guidance Navigation and Control Conference, San Francisco, 2005.
8. S. Hecker, A. Varga and J.F. Magni, "Enhanced LFR-Toolbox for MATLAB", Aerospace Science and Technology, 9, pp. 173-180, 2005.
9. S. Hecker and A. Varga, "Generalized LFT-based representation of parametric uncertain models", European J. Cont., 10, pp. 326-337, 2004.
10. D.E. Knuth, The Art of Computer Programming - Seminumerical Algorithms, Computer Science and Information Processing, 2nd ed., Addison Wesley, 1981.
11. H. Kwatny and B.C. Chang, "Constructing linear families from parameter-dependent nonlinear dynamics", IEEE Trans. Auto. Cont., 43, pp. 1143-1147, 1998.
12. D.J. Leith and W.E. Leithead, "Survey of gain-scheduling analysis and design", Int. J. Cont., 73, pp. 1001-1025, 2000.
13. J.F. Magni, "Presentation of the linear fractional representation toolbox (LFRT)", in Proc. CACSD'2002 Symposium, Scotland: Glasgow, 2002.
14. A. Marcos, D. Bates and I. Postlethwaite, "A multivariate polynomial matrix order-reduction algorithm for linear fractional transformation modelling", in Proc. IFAC World Congress, Prague, Czech Republic, 2005.
15. B. Morton, "New applications of μ to real parameter variation problems", in Proc. Conference on Decision and Control, Florida: Fort Lauderdale, 1985, pp. 233-238.
16. A. Packard, "Gain Scheduling via linear fractional transformations", Sys. Cont. Lett., 22, pp. 79-92, 1994.
17. W.J. Rugh and F. Shamma, "Research on gain scheduling", Automatica, 36, pp. 1401-1425, 2000.
18. C.W. Scherer, "LPV control and full block multipliers", Automatica, 37, pp. 361-375, 2001.
19. G. Scorletti and L. El Ghaoui, "Improved LMI Conditions for gain scheduling and related control problems", Int. J. Robust and Nonlinear Cont., 8, pp. 845-877, 1998.
20. J. Terlouw, P. Lambrechts, S. Bennani and M. Steinbuch, "Parametric uncertainty modeling using LFTs", in Proc. American Control Conference, San Francisco, CA, 1993, pp. 267-272.
21. A. Varga and G. Looye, "Symbolic and numerical software tools for FT-based low order uncertainty modeling", in Proc. CACSD'99 Symposium, Kohala Coast, Hawaii, 1999.
22. A. Varga, G. Looye, D. Moormann and G. Grübel, "Automated generation of LFT-based parametric uncertainty descriptions from generic aircraft models", Mathematical and Computer Modelling of Dynamical Systems, 4, pp. 249-274, 1998.
23. K. Zhou, J.C. Doyle and K. Glover, Robust and Optimal Control, New Jersey, Prentice Hall, 1996.