H2 gain scheduled observer based controllers for rational LPV systems

2008 10th International Conference on Control, Automation, Robotics and Vision, ICARCV 2008

Volumn , Issue , 2008, Pages 1811-1816

  Bouali, A ^a   Yagoubi, M ^b   Chevrel, P ^b  

^a INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

^b ECOLE DES MINES DE NANTES   (France)

Author keywords

Descriptor realization; LMI; Quadratic lyapunov functions

Indexed keywords

CLOSED LOOPS; DESCRIPTOR REALIZATION; LINEAR PARAMETER VARYING SYSTEMS; LMI; LPV SYSTEMS; NUMERICAL EXAMPLES; OBSERVER-BASED CONTROLLERS; QUADRATIC LYAPUNOV FUNCTIONS; YOULA PARAMETERS;

DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBOTICS; STRUCTURAL OPTIMIZATION; TELECOMMUNICATION NETWORKS;

COMPUTER VISION;

EID: 64549129908     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICARCV.2008.4795803     Document Type: Conference Paper

References (21)

1. P. Apkarian and H. D. Tuan, "Self scheduled H∞ control of linear parameter dependant systems a design example," Automatica, vol. 31, no. 9, pp-1251-1261, 1995
2. P. Apkarian and R. J. Adams, "Advanced gain-scheduling techniques for uncertain systems," IEEE Transactions Control Systems Technology, vol. 6, no. 1, pp. 21-32, 1998.
3. th IFAC World Congress, Barcelona, Spain,2002
4. th International Conference on Automation Control Robotics and Vision, pp. 71-77, Singapore, 5th - 8th December 2006.
5. A. Bouali, M. Yagoubi, P. Chevrel, "New LMI-based conditions for stability, H∞ performance analysis and state-feedback control of rational LPV systems, " European Conference on Control, Kos, Greece, 2007.
6. A. Bouali, M. Yagoubi, P. Chevrel, "Gain scheduled state feedback design for a class of LPV descriptor systems," Conference on Systems and Control, Marrakech, Morocco, 2007.
7. A. Bo uali, M. Yagoubi, P. Chevrel, "Gain Scheduled Observer State Feedback Controllers for Rational LPV Systems", 17th IFAC World Congress, Seoul, Korea, July 6-11, 2008
8. J. D. Cobb., "State Feedback Impulse Elimination for Singular Systems over a Hermite Domain", SIAM Journal on Control and Optimization, Vol. 44, No. 6, pp. 2189-2209, 2006
9. P. Gahinet, P. Apkarian, and M. Chilali, "Affine parameter-dependent Lyapunov functions and real parametric uncertainty," IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 436-442, March 1996.
10. M. Ikeda, T.W. Lee and E. Uezato, "A strict LMI condition for H2 control of descriptor systems," IEEE Conference on Decision and Control, Sydney, Australia,2000.
11. T. Iwasaki and G. Shibata, "LPV system analysis via quadratic separator for uncertain implicit systems", IEEE Trans. Automat. Contr, vol. 46, no. 8, pp. 1195-1208, 2001.
12. I. Masubuchi, J. Kato, M. Saeki and A. Ohara, "Synthesis of Output Feedback Gain Scheduling Controllers Based on Descriptor System Representation," IEEE Conference on Decision and Control, Hawaii USA, vol. 6 pp. 6115-6120, 2003.
13. W.J Rugh, J. S. Shamma, "Research on gain scheduling," Automatica, vol. 36 pp. 1081-1089, 2000.
14. C. E. De Souza, A Trofino and J. Oliveira, "Parametric Lyapunov function approach to H2 analysis and control of linear parameter dependent systems," IEE Proceeding of Control Theory and Application, 150, (5), pp. 501-508, 2003.
15. C. W. Scherer, "LPV control and full block multipliers," Automatica, vol. 37, no. 3, pp. 361-375, March 2001.
16. D. J. Stilwell, W. J Rugh, "Stability preserving interpolation methods for the synthesis of gain scheduled controllers," Automatica, (36), pp. 665-67, 2000.
17. D. J. Stilwell, W. J. Rugh, "Stability and L2 gain properties of LPV systems," Automatica, vol. 38 pp. 1601-1606, 2002.
18. K. Takaba and T. Katayama, "H2 output feedback control for descriptor systems," Automatica, vol. 34, no. 7, pp. 841-850, 1998.
19. F. Wu, "A generalized LPV system analysis and control synthesis framework," International Journal of Control, vol. 74, no. 7, pp. 745-759, May 2001.
20. W. Xie, "H2 gain scheduled state feedback for LPV system with new LMI formulation," IEE Proceeding of Control Theory and Application, vol. 152, No. 6, November 2005.
21. 2/H∞ controllers for descriptor systems," IEEE Transaction On Circuits and Systems-II : Analog and digital signal processing, vol. 50, NO.9, September 2003.