On directional change and anti-windup compensation in multivariable control systems

Dariusz Horla

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 2, page 281-289
  • ISSN: 1641-876X

Abstract

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The paper presents a novel description of the interplay between the windup phenomenon and directional change in controls for multivariable systems (including plants with an uneven number of inputs and outputs), usually omitted in the literature. The paper also proposes a new classification of anti-windup compensators with respect to the method of generating the constrained control signal.

How to cite

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Dariusz Horla. "On directional change and anti-windup compensation in multivariable control systems." International Journal of Applied Mathematics and Computer Science 19.2 (2009): 281-289. <http://eudml.org/doc/207935>.

@article{DariuszHorla2009,
abstract = {The paper presents a novel description of the interplay between the windup phenomenon and directional change in controls for multivariable systems (including plants with an uneven number of inputs and outputs), usually omitted in the literature. The paper also proposes a new classification of anti-windup compensators with respect to the method of generating the constrained control signal.},
author = {Dariusz Horla},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {windup phenomenon; multivariable systems; optimal control},
language = {eng},
number = {2},
pages = {281-289},
title = {On directional change and anti-windup compensation in multivariable control systems},
url = {http://eudml.org/doc/207935},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Dariusz Horla
TI - On directional change and anti-windup compensation in multivariable control systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 2
SP - 281
EP - 289
AB - The paper presents a novel description of the interplay between the windup phenomenon and directional change in controls for multivariable systems (including plants with an uneven number of inputs and outputs), usually omitted in the literature. The paper also proposes a new classification of anti-windup compensators with respect to the method of generating the constrained control signal.
LA - eng
KW - windup phenomenon; multivariable systems; optimal control
UR - http://eudml.org/doc/207935
ER -

References

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  2. Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, 3rd Edn., SIAM, Philadelphia, PA. Zbl0816.93004
  3. Boyd, S. and Vandenberghe, L. (2004). Convex Optimization, Cambridge University Press, Cambridge. Zbl1058.90049
  4. Camacho, E. and Bordons, C. (1999). Model Predictive Control, Springer-Verlag, London. Zbl1223.93037
  5. Doná, J. D., Goodwin, G. and Seron, M. (2000). Anti-windup and model predictive control: Reflections and connections, European Journal of Control 6(5): 455-465. Zbl1293.93328
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  7. Hodel, A. and Hall, C. (2001). Variable structure PID control to prevent integrator windup, IEEE Transactions on Industrial Electronics 42(2): 442-451. 
  8. Horla, D. (2004). Directional change and anti-windup compensation for multivariable systems, Studies in Automation and Information Technology 28/29: 53-68. 
  9. Horla, D. (2006). LMI-based multivariable adaptive predictive controller with anti-windup compensator, Proceedings of the 12th IEEE International Conference on Methods and Models in Automation and Robotics, Mi˛edzyzdroje, Poland, pp. 459-462. 
  10. Horla, D. (2007a). Directional change and windup phenomenon, Proceedings of the 4th IFAC International Conference on Informatics in Control Automation and Robotics, Angers, France, (on CD-ROM). Zbl1167.93358
  11. Horla, D. (2007b). Optimised conditioning technique for a priori anti-windup compensation, Proceedings of the 16th International Conference on Systems Science, Wrocław, Poland, pp. 132-139. Zbl1198.93091
  12. Hu, T., Teel, A. and Zaccarian, L. (2008). Anti-windup synthesis for linear control systems with input saturation: Achieving regional, nonlinear performance, Automatica 44(2): 512-519. Zbl1283.93120
  13. Hwi-Beon, S. (1998). New anti-windup PI controller for variable-speed motor drives, IEEE Transactions on Industrial Electronics 45(3): 445-450. 
  14. Janiszowski, K. (2005). Modification of digital PID controller for application in servo-drives, International Conference Hydraulics and Pneumatics, Vratna, Slovakia, pp. 614-624. 
  15. Kuo-Kai, S. and Cheng-Yuan, C. (2003). Anti-windup controller design for piezo-electric ceramic linear ultrasonic motor drive, Proceedings of the 29th Annual Conference of the IEEE Industrial Electronics Society, Roandre, VA, USA, Vol. 1, pp. 341-346. 
  16. Maciejowski, J. (1989). Multivariable Feedback Design, Addison-Wesley, Cambridge. Zbl0691.93001
  17. Maciejowski, J. (2002). Predictive Control with Constraints, Pearson Education Limited. Zbl0978.93002
  18. Öhr, J. (2003). Anti-windup and Control of Systems with Multiple Input Saturations: Tools, Solutions and Case Studies, Ph.D. thesis, Uppsala University, Uppsala. 
  19. Walgama, K. and Sternby, J. (1993). Conditioning technique for multiinput multioutput processes with input saturation, IEEE Proceedings-D 140(4): 231-241. Zbl0786.93057

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