Interpolation for gain-scheduled control with guarantees

Automatica

Volumn 47, Issue 1, 2011, Pages 239-243

  Bianchi, Fernando D ^a   Sánchez Peña, Ricardo S ^b  

^a CATALONIA INSTITUTE FOR ENERGY RESEARCH IREC   (Spain)

^b INSTITUTO TECNOLÓGICO DE BUENOS AIRES   (Argentina)

Author keywords

Gain scheduling; Interpolation; Linear matrix inequality; Linear parameter varying system; Youla parameterization

Indexed keywords

CHEMICAL PROCESS; CLOSED-LOOP; GAIN SCHEDULING; GAIN-SCHEDULED CONTROL; GAIN-SCHEDULED CONTROLLERS; INTERPOLATION POINTS; INTERPOLATION SCHEMES; LINEAR MATRIX; LINEAR PARAMETER VARYING SYSTEMS; LINEAR TIME-INVARIANT; OPERATING POINTS; QUADRATIC STABILITY; YOULA PARAMETERIZATION;

DELAY CONTROL SYSTEMS; INTERPOLATION; PARAMETERIZATION; SCHEDULING; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 78650809965     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.10.028     Document Type: Article

References (14)

1. P. Apkarian, P. Gahinet, and G. Becker Self-scheduled H∞ control of linear parameter-varying systems: a design example Automatica 31 1995 1251 1261
2. F. Blanchini, S. Miani, and F. Mesquine A separation principle for linear switching systems and parametrization of all stabilizing controllers IEEE Transactions on Automatic Control 54 2009 279 292
3. Chang, Y. J., & Rasmussen, B. (2008). Stable controller interpolation for LPV systems. In Proc. of ACC 2008 (pp. 30823087).
4. P. Gahinet, A. Nemirovski, A.J. Laub, and M. Chilali LMI toolboxes 1995 Mathworks Natick, USA
5. B. Hencey, and A. Alleyne Robust controller interpolation design technique IEEE Transactions on Control Systems Technology 18 2009 1 10
6. Hespanha, J., & Morse, A. (1999). Stability of switched systems with average dwell-time. In Proc. of the 46th IEEE CDC (pp. 26552660). Vol. 3. (Pubitemid 30575356)
7. J. Hespanha, and S. Morse Switching between stabilizing controllers Automatica 38 2002 1905 1917
8. Hespanha, J., Santesco, P., & Stewart, G. (2007). Optimal controller initialization for switching between stabilizing controllers. In Proc. of the 38th IEEE CDC (pp. 56345639). New Orleans, LA.
9. D. Liberzon Switching in systems and control 2003 Birkhauser Boston, MA
10. S. Lim, and J. How Modeling and H∞ control for switched linear parameter-varying missile autopilot IEEE Transactions on Control Systems Technology 11 2003 830 838
11. W. Rugh, and J. Shamma Research on gain scheduling Automatica 36 2000 1401 1425
12. D. Stilwell, and W. Rugh Stability preserving interpolation methods for the synthesis of gain scheduled controllers Automatica 36 2000 665 671
13. F. Wu, X. Yang, A. Packard, and G. Becker Induced L 2 -norm control for LPV systems with bounded parameter variation rates International Journal of Robust and Nonlinear Control 6 1996 983 998
14. W. Xie, and T. Eisaka Design of LPV control systems based on Youla parameterisation IEE Proceedings of the Control Theory and Applications 151 2004 465 472