μ synthesis and lft gain scheduling with real uncertainties

International Journal of Robust and Nonlinear Control

Volumn 8, Issue 7, 1998, Pages 631-642

  Helmersson, Anders ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Gain scheduling; Linear fractional transformations; Parametric dependent systems; Synthesis

Indexed keywords

ALGORITHMS; CONTROL SYSTEM ANALYSIS; MATHEMATICAL TRANSFORMATIONS;

GAIN SCHEDULING CONTROLLERS; LINEAR FUNCTIONAL TRANSFORMATIONS (LFT); PARAMETRIC DEPENDENT SYSTEMS;

CONTROL SYSTEM SYNTHESIS;

EID: 0032095536     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199806)8:7<631::AID-RNC335>3.0.CO;2-D     Document Type: Article

References (18)

1. Lu, W., K. Zhou and J. Doyle, 'Stabilization of LFT systems', IEEE Proceedings of the 30th Conference on Decision and Control, volume 2, Brighton, UK, December 1991, pp 1239-1244.
2. Packward, A., K. Zhou, P. Pandey and G. Becker, 'A collection of robust control problems leading to LMIs', IEEE Proceedings of the 30th Conference on Decision and Control, volume 2, Brighton, UK, December 1991, pp. 1245-1250.
3. Packard, A. and F. Wu, 'Control of linear fractional transformations', IEEE Proceedings of the 32rd Conference on Decision and Control, volume 1, San Antonio, Texas, December 1993, pp. 1036-1041.
4. Packard, A., 'Gain scheduling via linear fractional transformations', Systems & Control Letters, 22(2), 79-92 (1994).
5. ∞ control problems', IEEE Trans Automat. Control, 34(8), 831-847 (1989).
6. Doyle, J.C., A. Packard and K. Zhou, 'Review of LFTs, LMIs, and μ', IEEE Proceedings of the 30th Conference on Decision and Control, volume 2, Brighton, UK, December 1991, pp. 1227-1232.
7. Young, P., M. Newlin and J. Doyle, 'μ analysis with real parametric uncertainties', IEEE Proceedings of the 30th Conference on Decision and Control, volume 2, Brighton, UK, December 1991, pp. 1251-1256.
8. Young, P., M. Newlin and J. Doyle, 'Practical computation of the mixed μ problem', Proceedings of the American Control Conference, volume 3, Chicago, Illinois, June 1992, pp. 21990-2194.
9. Packard, A. and J. Doyle, The complex structured singular value', Automatica, 29(1), 71-109 (1993).
10. Fan, M., A. Tits and J. C. Doyle, 'Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics', IEEE Trans. Atomat. Control, 36(1), 25-38 (1991).
11. Ly, J., M. Safonov and R. Chiang, 'Real/complex multivariable stability margin computation via generalized Popov multiplier - LMI approach', Proceedings of the American Control Conference, volume 1, Baltimore, Maryland, June 1994, pp. 425-429.
12. Balakrishana, V., Y. Huang, A., A. Packard and J. Doyle, 'Linear matrix inequalities in analysis with multipliers', Proceedings of the American Control Conference, volume 2, Baltimore, Maryland, June 1994, pp. 1228-1232.
13. Redheffer, R., 'Inequalities for a matrix Riccati equation', Journal of Mathematics and Mechanics, 8(3), 349-369 (1959).
14. Packard, A., K. Zhou, P. Pandey, J. Leonhardson and G. Balas, 'Optimal, constant I/O, similarity scaling for full-information and state-feedback control problems', Systems & Control Letters, 19(4) 271-280 (1992).
15. Davis, C., W. Kahan and Weinberger, 'Analysis of feedback systems with structured uncertainties', SIAM Journal on Linear Algebra, 19, 445-469 (1981).
16. ∞ control', Int. J. Robust Nonlinear Control, 1, 656-661 (1992).
17. ∞ control problem; LMI existence conditions and state space formulas', Automatica, 30, 1307-1317 (1994).
18. Helmersson, A., 'Methods for robust gain scheduling', Ph.D. thesis, Linköpings universitet, Linköping, Sweden, 1995.