Stability region enlargement through anti-windup strategy for linear systems with dynamics restricted actuator

International Journal of Systems Science

Volumn 37, Issue 2, 2006, Pages 79-90

  Tarbouriech, S ^a,c   Queinnec, I ^a,c   Garcia, G ^a,b,c,d  

^a LAAS CNRS   (France)

^b INSA   (France)

^c IFAC Technical Committee   (France)

^d IRISA   (France)

Author keywords

Amplitude and dynamics restricted actuator; Anti windup scheme; Bounded controlled output; LMI; Stability regions

Indexed keywords

AMPLITUDE AND DYNAMICS RESTRICTED ACTUATOR; ANTI-WINDUP SCHEME; BOUNDED CONTROLLED OUTPUT; LMI; STABILITY REGIONS;

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; FEEDBACK; LINEAR SYSTEMS; OPTIMIZATION;

SYSTEM STABILITY;

EID: 32644477870     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720500444207     Document Type: Article

References (19)

1. K.J. Åström and L. Rundqwist "Integrator windup and how to avoid it", in American Control Conference, Pittsburgh, PA, 1989, pp. 1693-1698.
2. C. Barbu, R. Reginatto, A.R. Teel and L. Zaccarian, "Anti-windup for exponentially unstable linear systems with inputs limited in magnitude and rate", in American Control Conference, Chicago, IL, June 2000, pp. 1230-1234.
3. J.M. Berg, K.D. Hammett, C.A. Schwartz, and S.S. Banda, "An analysis of the destabilizing effect of daisy chained rate-limited actuators", IEEE Trans. Control Syst. Tech., 4, pp. 375-380, 1996.
4. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, 1994.
5. Y.-Y. Cao, Z. Lin, and D.G. Ward, "An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation", IEEE Transactions on Automatic Control, 47, pp. 140-145, 2002.
6. H.A. Fertik and C.W. Ross, "Direct digital control algorithm with anti-windup feature", ISA Transactions, 6, pp. 317-328, 1967.
7. J.M. Gomes da Silva Jr and S. Tarbourietch, "Anti-windup design with guaranteed regions of stability: an LMI-based approach", in Proceedings of the 42th IEEE Conference on Decision and Control, Hawaii, USA, 2003, pp. 4451-4456.
8. J.M. Gomes da Silva Jr, S. Tarbouriech, and G. Garda, "Local stabilization of linear systems under amplitude and rate saturating actuators", IEEE Transactions on Automatic Control, 48, pp. 842-847, 2003.
9. J.M. Gomes da Silva Jr, S. Tarbouriech and R. Reginatto, "Analysis of regions of stability for linear systems with saturating inputs through an anti-windup scheme, in Proceedings of the IEE Conference on Control Applications (CCA), Glasgow, Scotland, 2002, pp. 1106-1111.
10. V. Kapila and K. Grigoriadis, Actuator saturation control, New York: Marcel Dekker, Inc., 2002.
11. N. Kapoor, A.R. Teel, and P. Daoutidis, "An anti-windup design for linear systems with input saturation", Automatica, 34, pp. 559-574, 1998.
12. M.V. Kothare and M. Morari, "Multiplier theory for stability analysis of anti-windup control systems", Automatica, 35, pp. 917-928, 1999.
13. P. Langouët, S. Tarbouriech and G. Garcia, "Pilots evaluation by taking into account both limited actuator and incidence - stability analysis", Number Grant F/20062/SA, report in french - Limited diffusion, 2002.
14. C. Pittet, Stabilisation des systèsmes à commande contrainte: application à une table d'excitation microdynamiaque, PhD thesis, Université Paul Sabatier, Toulouse, France, (1998) (in french).
15. J.M. Shewchun and E. Feron, "High performance control with position and rate limited actuators", Int. J. Robust und Nonlinear Control, 9, pp. 617-630, 1999.
16. S. Tarbouriech, G. Garcia and P. Langouët, "Anti-windup strategy for linear systems with amplitude and dynamics restricted actators", in Proceedings of the European Control Conference (ECC), Cambridge, UK, 2003.
17. S. Tarbouriech, G. Garcia and P. Langouët, "Anti-windup strategy with guaranteed stability for linear systems with amplitude and dynamics restricted actuator", in Proc. of 6th IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, 2004, pp. 1373-1378.
18. A.R. Teel, "Anti-windup for exponentially unstable linear systems", Int. J. Robust and Nonlinear Control, 9, pp. 701-716, 1999.
19. F. Tyan and D. Bernstein, "Dynamic output feedback compensation for linear systems with independent amplitude and rate saturation", International Journal of Control, 67, pp. 89-116, 1997.