Discretization of linear fractional representations of LPV systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 7424-7429

  Toth R ^a   Lovera, M ^b   Heuberger, P S C ^a   Van Den Hof, P M J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Discretization; Linear fractional representation

Indexed keywords

CONTROLLERS; DISCRETE EVENT SIMULATION;

APPROXIMATION ERRORS; DIGITAL HARDWARE; DISCRETE-TIME MODEL; DISCRETIZATION METHOD; DISCRETIZATIONS; FIRST PRINCIPLE MODELS; LINEAR FRACTIONAL REPRESENTATION; LINEAR PARAMETER VARYING SYSTEMS;

CONTINUOUS TIME SYSTEMS;

EID: 77950847088     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400623     Document Type: Conference Paper

References (16)

1. ∞ control for time-varying and linear parametrically-varying systems," Int. Journal of Robust and Nonlinear Control, vol.6, no.9-10, pp. 929-952, 1996.
2. K. Zhou and J. C. Doyle, Essentials of Robust Control. Prentice-Hall, 1998.
3. A. Packard, "Gain scheduling via linear fractional transformations," System Control Letters, vol.22, no.2, pp. 79-92, 1994.
4. J. Kim, D. G. Bates, and I. Postletwaite, "Robustness analysis of linear periodic time-varying systems subject to structured uncertainty," Systems and Control Letters, vol.55, pp. 719-725, 2006.
5. L. Ma and P. Iglesias, "Robustness analysis of a self-oscillating molecular network in a dictostelium discoideum," in Proc. of the 41th IEEE Conf. on Decision and Control, Las Vegas, Nevada, USA, Dec. 2002, pp. 2538-2543.
6. D. Peaucelle, C. Farges, and D. Arzelier, "Robust LFR-based technique for stability analysis of limit cycles," in Proc. of the IFAC Symposium ALCOSP'07/PSYCO'07, St. Petersburg, Russia, Aug. 2007.
7. N. Imbert, "Robustness analysis of a launcher attitude controller via μ - analysis," in Proc. of the 15th IFAC Symposium on Automatic Control in Aerospace, Bologna, Italy, Sept. 2001, pp. 429-434.
8. P. C. Pellanda, P. Apkarian, and H. D. Tuan, "Missile autopilot design via a multi-channel LFT/LPV control method," Int. Journal of Robust and Nonlinear Control, vol.12, pp. 1-20, 2002.
9. G. Ferreres, "Reduction of dynamic LFT systems with LTI model uncertainties," Int. Journal of Robust and Nonlinear Control, vol.14, pp. 307-323, 2004.
10. R. Tóth, F. Felici, P. S. C. Heuberger, and P. M. J. Van den Hof, "Crucial aspects of zero-order-hold LPV state-space system discretization," in Proc. of the 17th IFAC World Congress, Seoul, Korea, July 2008, pp. 3246-3251.
11. R. Tóth, "Modeling and identification of linear parameter-varying systems, an orthonormal basis function approach," Ph.D. dissertation, Delft University of Technology, 2008.
12. K. J.Åström and B. Wittenmark, Computer controlled systems. Prentice-Hall, 1990.
13. A. L. Tits and M. K. H. Fan, "On the small-μ theorem," Automatica, vol.31, pp. 1199-1201, 1995.
14. C. B. Moler and C. F. Van Loan, "Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later," SIAM Review, vol.45, no.1, pp. 3-49, 2003.
15. B. N. Datta, Numerical methods for linear control systems. Elsevier, 2004.
16. K. E. Atkinson, An Introduction to Numerical Analysis. John Wiley and Sons, 1989.