Stable controller interpolation for LPV systems

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 3082-3087

  Young, Joon Chang ^a   Rasmussen, Bryan P ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SCHEDULING; SYSTEM STABILITY;

A-PRIORI; CONTROLLER INTERPOLATION; DESIGN POINTS; GAIN-SCHEDULING; LINEAR PARAMETER VARYING MODEL; LPV SYSTEMS; NON-LINEAR STABILITY; QUADRATIC STABILITY; STABLE CONTROLLERS; YOULA PARAMETERIZATION;

INTERPOLATION;

EID: 52449130379     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586966     Document Type: Conference Paper

References (19)

1. D.J. Leith and W.E. Leithead, "Survey of Gain-Scheduling Analysis and Design," Int. J. of Control, vol. 73, no. 11, pp. 1001-25, 2000.
2. J.S. Shamma and M. Athans, "Gain scheduling: Potential Hazards and Possible Remedies," in Proc. of ACC., vol. 1, pp. 516-521, 1991
3. D.C. Youla, J.J.Jr. Bongiorno, and H.A. Jabr, "Modern Wiener-Hopf Design of Optimal Controllers Part I: The Single-Input-Output Case," IEEE Trans. on Automat. Contr., vol. AC-21, no. 1, pp. 13-30, 1976.
4. S. Boyd and Q. Yang, "Structured and Simultaneous Lyapunov Functions for System Stability Problems," Int. J. of Control, vol. 49, pp. 2215-2240, 1989.
5. K.H. Johansson, "Quadruple-Tank Process: A Multivariable Laboratory Process with an Adjustable Zero," IEEE Trans. on Contr. Syst. Tech., vol. 8, no. 3, pp. 456-465, 2000.
6. A. Packard and M. Kantner, "Gain Scheduling the LPV Way," IEEE Proc. on Decision and Control, vol. 4, pp. 3938-3941, 1996.
7. D.J. Stilwell and W.J. Rugh, "Stability Preserving Interpolation Methods for the Synthesis of Gain Scheduled Controllers," Automatica, vol. 36, no. 5, pp. 665-671, 2000.
8. J.P. Hespanha and A.S. Morse, "Switching Between Stabilizing Controllers," Automatica, vol. 38, no. 11, pp. 1905-1917, 2002.
9. D.J. Stilwell, "J-Q interpolation for Gain Scheduled Controllers," IEEE Proc. on Decision and Control, vol. 1, pp. 749-54, 1999.
10. H. Niemann and J. Stoustrup, "An Architecture for Implementation of Multivariable Controllers," Proc. ACC, vol. 6, pp. 4029-33, 1999.
11. K.J. Hunt and T.A. Johansen, "Design and Analysis of Gain-Scheduled Control using Local Controller Networks," Int. J. of Control, vol. 66, no. 5, pp. 619-651, 1997.
12. R. Murray-Smith and T. Johansen, Multiple Model Approaches to Nonlinear Modelling and Control Control, Bristol, PA: Taylor&Francis, 1997.
13. H. Niemann, "Dual Youla Parameterisation," IEE Proc.: Control Theory and Applications, vol. 150, no. 5, pp. 493-497, 2003.
14. T. T Tay, I. Mareels, and J. B. Moore, High Performance Control, Control, Ann Arbor, MI: Birkhauser, 1998.
15. H. Niemann and J. Stoustrup, "Gain Scheduling Using the Youla Parameterization," IEEE Proc. on Decision and Control, vol. 3, pp. 2306-2311, 1999.
16. J. Stoustrup and H. Niemann, "Starting Up Unstable Multivariable Controllers Safely," IEEE Proc. on Decision and Control. vol. 2, pp. 1437-8, 1997.
17. B.P. Rasmussen and A.G. Alleyne, "Gain Scheduled Control of an Air Conditioning System Using the Youla Parameterization," Proc. ACC, 2006.
18. W. Xie and T. Eisaka, "Design of LPV control systems based on Youla parameterisation," IEE Proc.: Control Theory and Applications, vol. 151, no. 4, pp. 465-472, 2004.
19. W.J. Rugh and J.S. Shamma, "Research on Gain Scheduling," Automatica, vol. 36, no. 10, pp. 1401-25, 2000.