On Directional Change and Anti-Windup Compensation in Multivariable Control Systems

Dariusz Horla

doi:10.2478/v10006-009-0024-4

.blurhash-client-img { display: none !important; }

On Directional Change and Anti-Windup Compensation in Multivariable Control Systems

International Journal of Applied Mathematics and Computer Science

Volume 19 (2009): Issue 2 (June 2009)

By: Dariusz Horla

Open Access

|Jul 2009

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.

References

Albertos, P. and Sala, A. (2004). Multivariable Control Systems, Springer-Verlag, London.
Search in Google Scholar
Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, 3rd Edn., SIAM, Philadelphia, PA.
Search in Google Scholar
Boyd, S. and Vandenberghe, L. (2004). Convex Optimization, Cambridge University Press, Cambridge.10.1017/CBO9780511804441
Search in Google Scholar
Camacho, E. and Bordons, C. (1999). Model Predictive Control, Springer-Verlag, London.10.1007/978-1-4471-3398-8
Search in Google Scholar
Doná, J. D., Goodwin, G. and Seron, M. (2000). Anti-windup and model predictive control: Reflections and connections, European Journal of Control 6(5): 455-465.10.1016/S0947-3580(00)71108-3
Search in Google Scholar
Galicki, M. (2005). Control-based solution to inverse kinematics for mobile manipulators using penalty functions, Journal of Intelligent and Robotic Systems 42(3): 213-238.10.1007/s10846-004-7196-9
Search in Google Scholar
Hodel, A. and Hall, C. (2001). Variable structure PID control to prevent integrator windup, IEEE Transactions on Industrial Electronics 42(2): 442-451.10.1109/41.915424
Search in Google Scholar
Horla, D. (2004). Directional change and anti-windup compensation for multivariable systems, Studies in Automation and Information Technology 28/29: 53-68.
Search in Google Scholar
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, Międzyzdroje, Poland, pp. 459-462.
Search in Google Scholar
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).
Search in Google Scholar
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.
Search in Google Scholar
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): 512-519.10.1016/j.automatica.2007.06.003
Search in Google Scholar
Hwi-Beon, S. (1998). New anti-windup PI controller for variable-speed motor drives, IEEE Transactions on Industrial Electronics 45(3): 445-450.10.1109/41.679002
Search in Google Scholar
Janiszowski, K. (2005). Modification of digital PID controller for application in servo-drives, International Conference Hydraulics and Pneumatics, Vratna, Slovakia, pp. 614-624.
Search in Google Scholar
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.
Search in Google Scholar
Maciejowski, J. (1989). Multivariable Feedback Design, Addison-Wesley, Cambridge.
Search in Google Scholar
Maciejowski, J. (2002). Predictive Control with Constraints, Pearson Education Limited.
Search in Google Scholar
Öhr, J. (2003). Anti-windup and Control of Systems with Multiple Input Saturations: Tools, Solutions and Case Studies, Ph.D. thesis, Uppsala University, Uppsala.
Search in Google Scholar
Walgama, K. and Sternby, J. (1993). Conditioning technique for multiinput multioutput processes with input saturation, IEEE Proceedings—D 140(4): 231-241.10.1049/ip-d.1993.0032
Search in Google Scholar