ℋ2/ℋ∞ robust PID synthesis for uncertain systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 4375-4380

  Goncalves E N ^a   Palhares, R M ^b   Takahashi, R H C ^b  

^a CENTRO FEDERAL DE EDUCAÇÃO TECNOLÓGICA DE MINAS GERAIS   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

Affine parameter dependent models; Non convex optimization; PID tuning; Polytopic models

Indexed keywords

MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

NON-CONVEX OPTIMIZATION; POLYTOPIC MODELS;

UNCERTAIN SYSTEMS;

EID: 39649092682     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377382     Document Type: Conference Paper

References (18)

1. K. J. Åström and T. Hägglund, "The future of PID control," Control Engineering Practice, vol. 9, pp. 1163-1175, 2001.
2. P. Cominos and N. Munro, "PID controllers: recent tuning methods and design to specification," IEE Proceedings - Control Theory & Applications, vol. 149, no. 1, pp. 46-53, January 2002.
3. C. C. Hang, K. J. Aström, and W. K. Ho, "Refinements of the Ziegler-Nichols tuning formula," IEE Proceedings D Control Theory & Applications, vol. 138, no. 2, pp. 111-118, March 1991.
4. K. J. Åström and T. Hägglund, "Revisiting the ZieglerNichols step response method for PID control," Journal of Process Control, vol. 14, pp. 635-650, 2004.
5. H. Panagopoulos, K. J. Åström, and T. Hägglund, "Design of PID controllers based on constrained optimisation," IEE Proceedings - Control Theory & Applications, vol. 149, no. 1, pp. 32-40, January 2002.
6. S. Skogestad, "Simple analytic rules for model reduction and PID controller tuning," Journal of Process Control, vol. 13, pp. 291-309, 2003.
7. infin; guaranteed cost PID design for uncertain systems: A multiobjective approach," in Proceedings of the 1996 IEEE International Symposium on Computer-Aided Control System Design. Dearborn, MI, USA: IEEE, September 1996, pp. 315-320.
8. Y. J. Huang and Y.-J. Wang, "Robust PID tuning strategy for uncertain plants based on the Kharitonov theorem," ISA Transactions, vol. 39, pp. 419-431, 2000.
9. M. Ge, M.-S. Chiu, and Q.-G. Wang, "Robust PID controller design via LMI approach," Journal of Process Control, vol. 12, pp. 3-13, 2002.
10. ∞ control problem for linear systems," IEE Proceedings - Control Theory & Applications, vol. 152, no. 2, pp. 171-176, 2005.
11. ∞ dynamic output feedback control synthesis for systems with politopic uncertainty," in Preprints of the 16th IFAC World Congress, P. Horacek, M. Simandl, and P. Zitek, Eds. Prague, Czech Republic: IFAC, July 2005.
12. ∞ filter design for systems with polytope-bounded uncertainty," IEEE Transactions on Signal Processing, vol. 54, no. 9, pp. 3620-3626, 2006.
13. R. H. C. Takahashi, R. R. Saldanha, W. Dias-Filho, and J. A. Ramírez, "A new constrained ellipsoidal algorithm for nonlinear optimization with equality constraints," IEEE Transactions on Magnetics, vol. 39, no. 3, pp. 1289-1292, 2003.
14. infin; ε-guaranteed cost computation of uncertain linear systems," IEE Proceedings - Control Theory & Applications, to appear.
15. ∞ guaranteed cost computation for uncertain time-delay systems," in Proceedings of the Joint 44th IEEE Conference on Decision and Control and European Control Conference. Seville, Spain: IEEE, December 2005.
16. E. N. Gonçalves, R. M. Palhares, R. H. C. Takahashi, and R. C. Mesquita, "Algorithm 8xx: SimpleS: An extension of Freudenthal's simplex subdivision," ACM Transactions on Mathematical Software, 2006, to appear.
17. _, "New approach to robust D-stability analysis of linear time-invariant systems with polytope-bounded uncertainty," IEEE Transactions on Automatic Control, 2006, to appear.
18. R. Toscano, "A simple robust PI/PID controller design via numerical optimization approach," Journal of Process Control, vol. 15, pp. 81-88, 2005.