Gain-scheduling control of LFT systems using parameter-dependent Lyapunov functions

Automatica

Volumn 42, Issue 1, 2006, Pages 39-50

  Wu, Fen ^a   Dong, Ke ^a  

^a North Carolina State University   (United States)

Author keywords

Full block multiplier; Linear fractional transformation system; Linear matrix inequality; Parameter dependent Lyapunov function

Indexed keywords

CONTROL EQUIPMENT; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; SCHEDULING;

FULL-BLOCK MULTIPLIER; LINEAR FRACTIONAL TRANSFORMATION SYSTEMS; LINEAR MATRIX INEQUALITY; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; ℒ2 GAIN;

CONTROL SYSTEM ANALYSIS;

EID: 27844433143     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.08.020     Document Type: Article

References (20)

1. ∞ controllers IEEE Transactions on Automatic Control AC-40 1995 853 864 Also see Erratum in IEEE Transactions on Automatic Control, AC-40(9), 1681
2. G. Becker Additional results on parameter-dependent controllers for LPV systems Proceedings of the 13th IFAC world congress 1996 351 356
3. G. Becker, and A. Packard Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback System Control Letter 23 3 1994 205 215
4. M. Dettori, and C. Scherer New robust stability and performance conditions based on parameter dependent multipliers Proceedings of the IEEE conference on decision control 2000 4187 4192
5. E. Feron, P. Apkarian, and P. Gahinet Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions IEEE Transactions on Automatic Control AC-41 7 1996 1041 1046
6. Helmersson, A., (1996). Parameter dependent Lyapunov functions based on linear fractional transformation. Proceedings of the IFAC world congress.
7. T. Iwasaki, and G. Shibata LPV system analysis via quadratic separator for uncertain implicit systems IEEE Transactions on Automatic Control AC-46 8 2001 1195 1208
8. A.K. Packard Gain scheduling via linear fractional transformations System Control Letters 22 2 1994 79 92
9. W.J. Rugh Analytical framework for gain scheduling IEEE Control System Magazine 11 1991 74 84
10. W.J. Rugh, and J.S. Shamma Research on gain scheduling Automatica 36 10 2000 1401 1425
11. C.W. Scherer Robust mixed control and LPV control with full block scalings L. El Ghaoui S. Niculescu Recent advances of LMI methods in control. 1999 SIAM Philadelphia, PA
12. J.S. Shamma, and M. Athans Analysis of gain scheduled control for nonlinear plants IEEE Transactions on Automatic Control AC-35 8 1990 898 907
13. G. Scorletti, and L. El Ghaoui Improved linear matrix inequality conditions for gain scheduling Proceedings of the 34th IEEE Conference on Decision Control 1995 3626 3631
14. H.D. Tuan, and P. Apkarian Relaxations of parameterized LMIs with control applications International Journal on Robust Non-linear Control 9 1999 59 84
15. F. Wang, and V. Balakrishnan Improved stability analysis and gain-scheduled control synthesis for parameter-dependent systems IEEE Transactions on Automatic Control AC-47 5 2002 720 734
16. Wemhoff, E. L., (2003). Signal estimation in structured nonlinear systems with unknown functions. Ph.D. dissertation, University of California, Berkeley, CA.
17. F. Wu A generalized LPV system analysis and control synthesis framework International Journal of Control 74 7 2001 745 759
18. 2 norm control for LPV systems with bounded parameter variation rates International Journal on Robust Non-linear Control 6 9/10 1996 983 998
19. ∞ control with parametric Lyapunov functions Systems and Control Letters 30 1997 57 69
20. K. Zhou, J.C. Doyle, and K. Glover Robust and optimal control 1996 Prentice-Hall Upper Saddle River, NJ