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Design of multiple anti-windup loops for multiple activations

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Abstract

This paper considers anti-windup design for linear systems subject to actuator saturation. Three anti-windup gains are designed for activations immediately at the occurrence actuator saturation, after the saturation has reached a certain level and in anticipation of the occurrence of saturation, respectively. The design is based on the minimization of L 2 gain from the disturbance to the controlled output of the resulting closed-loop system. Traditional anti-windup scheme involves a single anti-windup loop for immediate activation. A recent innovation is to design a single anti-windup loop for delayed or anticipatory activation, as well as to design two anti-windup gains, one for immediate activation and one for delayed activation. Our design of three anti-windup gains for three different activations is shown through simulation to lead to significant further performance improvement over the previous activation schemes.

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References

  1. Bernstein D S, Michel A N. A Chronological bibliography on saturating actuators. Int J Robust Nonlinear Control, 1995, 5: 375–380

    Article  MathSciNet  MATH  Google Scholar 

  2. Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Cambridge: Birkhauser Boston Inc, 2001

    Book  MATH  Google Scholar 

  3. Jin Y Q, Liu X D, Qiu W, et al. Time-varying sliding mode control for a class of uncertain MIMO nonlinear system subject to control input constraint. Sci China Inf Sci, 2010, 53: 89–100

    Article  MathSciNet  Google Scholar 

  4. Stevens B L, Lewis F L. Aircraft Control and Simulation. 2nd ed. New York: Wiley-Interscience, 2003

    Google Scholar 

  5. Edwards C, Postlethwaite I. Anti-windup and bumpless transfer schemes. Automatica, 1998, 34: 199–210

    Article  MathSciNet  Google Scholar 

  6. Galeani S, Tarbouriech S, Turner M C, et al. A tutorial on modern anti-windup design. In: Proc 10th Euro Contr Conf, Budapest, 2009. 418–440

  7. Tarbouriech S, Turner M. Anti-windup design: an overview of some recent advances and open problems. IET Control Theory Appl, 2009, 3: 1–19

    Article  MathSciNet  Google Scholar 

  8. Astrom K J, Rundqwist L. Integrator windup and how to avoid it. In: Proc Amer Contr Conf, Pittsburgh, 1989. 1693–1698

  9. Glattfelder A G, Schaufelberger W. Stability analysis of single-loop control systems with saturation and antireset windup circuit. IEEE Trans Autom Control, 1983, 28: 1074–1081

    Article  MATH  Google Scholar 

  10. Gomes J M, da Silva Jr, Tarbouriech S. Antiwindup design with guaranteed regions of stability: an LMI-based approach. IEEE Trans Autom Control, 2005, 50: 106–111

    Article  Google Scholar 

  11. Grimm G, Hatfield I, Teel A T, et al. Antiwindup for stable linear systems with input saturation: an LMI-based synthesis. IEEE Trans Autom Control, 2003, 48: 1509–1525

    Article  MathSciNet  Google Scholar 

  12. Hu T, Teel A R, Zaccarian L. Reginoal anti-windup compensation for linear systems with input saturation. In: Proc Amer Contr Conf, Chicago, 2005. 3397–3402

  13. Kose I E, Jabbari F. Scheduled controllers for linear systems with bounded actuators. Automatica, 2003, 39: 1377–1387

    Article  MathSciNet  Google Scholar 

  14. Mulder E F, Kothare M V, Morari M. Multivariable anti-windup controller synthesis using linear matrix inequalities. Automatica, 2001, 37: 1407–1416

    Article  MATH  Google Scholar 

  15. Teel A R, Kapoor N. The L 2 anti-windup problem: its definition and solution. In: Proc 10th Euro Contr Conf Brussels, 1997. 120–128

  16. Turner M C, Postlethwaite I. A new perspective on static and low-order anti-windup synthesis. Int J Control, 2004, 77: 27–44

    Article  MathSciNet  MATH  Google Scholar 

  17. Wu F, Grigoriadis K M, Packard A. Anti-windup controller design using linear paramter-varying control methods. Int J Control, 2000, 73: 1104–1114

    Article  MathSciNet  MATH  Google Scholar 

  18. Sajjadi-Kia S, Jabbari F. Modified anti-windup compensators for stable plants. IEEE Trans Autom Control, 2009, 54: 1934–1939

    Article  MathSciNet  Google Scholar 

  19. Sajjadi-Kia S, Jabbari F. Modified anti-windup compensators for stable plants: dynamic anti-windup case. In: 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, 2009. 2795–2800

  20. Sajjadi-Kia S, Jabbari F. Scheduling in anti-windup controllers: output feedback case. In: 46th IEEE Conf Dec Contr, New Orleans, 2007. 408–413

  21. Wu X, Lin Z. Anti-windup in anticipation of actuator saturation. In: 49th IEEE Conference on Decision and Control, Atlanta, 2010. 5245–5250

  22. Wu X, Lin Z. Dynamic anti-windup design in anticipation of actuator saturation. In: 2011 American Control Conference, San Francisco, 2011. 4446–4451

  23. Wu X, Lin Z. On immediate, delayed and anticipatory activation of anti-windup mechanism, static anti-windup case. IEEE Trans Autom Control, 2012, 57: 771–777

    Article  MathSciNet  Google Scholar 

  24. Sajjadi-Kia S, Jabbari F. Scheduled static anti-windup augmentation synthesis for open-loop stable plants. In: Proc American Contr Conf, Baltimore, 2010. 6751–6756

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Correspondence to Zongli Lin.

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Wu, X., Lin, Z. Design of multiple anti-windup loops for multiple activations. Sci. China Inf. Sci. 55, 1925–1934 (2012). https://doi.org/10.1007/s11432-012-4645-0

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  • DOI: https://doi.org/10.1007/s11432-012-4645-0

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