Applications of Anti-windup Techniques

  • Sophie Tarbouriech
  • Germain Garcia
  • João Manoel Gomes da SilvaJr.
  • Isabelle Queinnec


Several numerical examples are presented in this chapter to illustrate the potentialities of anti-windup strategies, both to increase the size of the domain of safe behavior for the controlled saturated system and to deal with additive disturbances (to support larger disturbances or to decrease their impact on the performance of the system). Examples are first concerned with only position (magnitude) saturations, using the machinery presented in Chap.  7. Then, the extensions of these tools to more complex nonlinear actuators and sensors are presented through their applications to illustrative examples.


Rate Saturation Dynamic Actuator Sensor Saturation Nonlinear Actuator Disturbance Rejection Performance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 57.
    Cao, Y.Y., Lin, Z., Chen, B.M.: An output feedback h controller for linear systems subject to sensor nonlinearities. IEEE Trans. Circuits Syst. I 50(7), 914–921 (2003) MathSciNetCrossRefGoogle Scholar
  2. 107.
    Galeani, S., Onori, S., Teel, A.R., Zaccarian, L.: A magnitude and rate saturation model and its use in the solution of a static anti-windup problem. Syst. Control Lett. 57(1), 1–9 (2008) MathSciNetMATHCrossRefGoogle Scholar
  3. 120.
    Garcia, G., Tarbouriech, S., Gomes da Silva Jr., J.M., Eckhard, D.: Finite L 2 gain and internal stabilisation of linear systems subject to actuator and sensor saturations. IET Control Theory Appl. 3(7), 799–812 (2009) MathSciNetCrossRefGoogle Scholar
  4. 139.
    Gomes da Silva Jr., J.M., Tarbouriech, S.: Anti-windup design with guaranteed region of stability: an LMI-based approach. IEEE Trans. Autom. Control 50(1), 106–111 (2005) MathSciNetCrossRefGoogle Scholar
  5. 151.
    Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A.R., Turner, M.C., Zaccarian, L.: Anti-windup for stable linear systems with input saturation: an LMI based synthesis. IEEE Trans. Autom. Control 48(9), 1509–1525 (2003) MathSciNetCrossRefGoogle Scholar
  6. 207.
    Kapasouris, P., Athans, M., Stein, G.: Design of feedback control systems for stable plants with saturating actuators. In: Conference on Decision and Control, Austin, USA, pp. 469–479 (1988) Google Scholar
  7. 215.
    Khalil, H.K.: Nonlinear Systems. MacMillan, London (1992) MATHGoogle Scholar
  8. 233.
    Langouët, P.: Sur la stabilité locale de systèmes linéaires soumis à des actionneurs limités en amplitude et en dynamique. PhD thesis, University of Toulouse, France (November 2003). Rapport LAAS No. 03576 Google Scholar
  9. 234.
    Langouët, P., Tarbouriech, S., Garcia, G.: Pilots evaluation by taking into account both limited actuator and incidence on stability analysis. Technical report, Number Grant F/20062/SA (2002) (in French, limited diffusion) Google Scholar
  10. 284.
    Park, J.-K., Youn, H.Y.: Dynamic anti-windup based control method for state constrained systems. Automatica, 1915–1922 (2003) Google Scholar
  11. 290.
    Pittet, C.: Stabilisation des systèmes à commande contrainte. application à une table d’excitation microdynamique. PhD thesis, Université Paul Sabatier, Toulouse, France (October 1998). Rapport LAAS No. 98434 Google Scholar
  12. 295.
    Queinnec, I., Tarbouriech, S., Garcia, G.: Anti-windup design for aircraft control. In: IEEE Conference on Control Applications (CCA), Munich, Germany (2006) Google Scholar
  13. 305.
    Roos, C., Biannic, J.-M., Tarbouriech, S., Prieur, C., Jeanneau, M.: On-ground aircraft control design using a parameter-varying anti-windup approach. Aerosp. Sci. Technol. 14, 459–471 (2010) CrossRefGoogle Scholar
  14. 322.
    Shewchun, J.M., Féron, E.: High performance control with position and rate limited actuators. Int. J. Robust Nonlinear Control 9, 617–630 (1999) MATHCrossRefGoogle Scholar
  15. 360.
    Tarbouriech, S., Queinnec, I., Garcia, G.: Stability region enlargement through anti-windup strategy for linear systems with dynamics restricted actuator. Int. J. Syst. Sci. 37(2), 79–90 (2006) MathSciNetMATHCrossRefGoogle Scholar
  16. 361.
    Tarbouriech, S., Garcia, G., Glattfelder, A.H. (eds.): Advanced Strategies in Control Systems with Input and Output Constraints. LNCIS, vol. 346. Springer, Berlin (2007) MATHGoogle Scholar
  17. 362.
    Tarbouriech, S., Queinnec, I., Garcia, G.: Anti-windup Strategy for Systems Subject to Actuator and Sensor Saturations. LNCIS, vol. 346. Springer, Berlin (2007). Chap. 6 Google Scholar
  18. 363.
    Tarbouriech, S., Queinnec, I., Turner, M.C.: Anti-windup design with rate and magnitude actuator and sensor saturations. In: European Control Conference, Budapest, Hungary (2009) Google Scholar
  19. 374.
    Turner, M.C., Tarbouriech, S.: Anti-windup compensation for systems with sensor saturation: a study of architecture and structure. Int. J. Control 82(7), 1253–1266 (2009) MathSciNetMATHCrossRefGoogle Scholar
  20. 380.
    Valmorbida, G.: Analyse en stabilitè et synthèse de lois de commande pour des systèmes polynomiaux saturants. PhD thesis, University of Toulouse, Toulouse, France (2010). Rapport LAAS No. 10464 Google Scholar
  21. 399.
    Wu, F., Grigoriadis, K.M., Packard, A.: Anti-windup controller design using linear parameter-varying control methods. Int. J. Control 73(12), 1104–1114 (2000) MathSciNetMATHCrossRefGoogle Scholar
  22. 406.
    Zaccarian, L., Teel, A.R.: Modern Anti-windup Synthesis. Princeton University Press, Princeton (2011) Google Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Sophie Tarbouriech
    • 1
  • Germain Garcia
    • 2
  • João Manoel Gomes da SilvaJr.
    • 3
  • Isabelle Queinnec
    • 1
  1. 1.Laboratoire Analyse et Architecture des Systèmes (LAAS)CNRSToulouse CX 4France
  2. 2.Laboratoire Analyse et Architecture des Systèmes (LAAS)CNRSToulouse CX 4France
  3. 3.Departamento de Engenharia ElétricaUniversidade Federal do Rio Grande do SulPorto AlegreBrazil

Personalised recommendations