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.
@article{bwmeta1.element.bwnjournal-article-amcv19i2p281bwm, author = {Dariusz Horla}, title = {On directional change and anti-windup compensation in multivariable control systems}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {19}, year = {2009}, pages = {281-289}, zbl = {1167.93358}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv19i2p281bwm} }
Dariusz Horla. On directional change and anti-windup compensation in multivariable control systems. International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) pp. 281-289. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv19i2p281bwm/
[000] Albertos, P. and Sala, A. (2004). Multivariable Control Systems, Springer-Verlag, London. | Zbl 1053.93001
[001] Boyd, S., Ghaoui, L. E., Feron, E. and Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, 3rd Edn., SIAM, Philadelphia, PA. | Zbl 0816.93004
[002] Boyd, S. and Vandenberghe, L. (2004). Convex Optimization, Cambridge University Press, Cambridge. | Zbl 1058.90049
[003] Camacho, E. and Bordons, C. (1999). Model Predictive Control, Springer-Verlag, London. | Zbl 1223.93037
[004] 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. | Zbl 1293.93328
[005] 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.
[006] Hodel, A. and Hall, C. (2001). Variable structure PID control to prevent integrator windup, IEEE Transactions on Industrial Electronics 42(2): 442-451.
[007] Horla, D. (2004). Directional change and anti-windup compensation for multivariable systems, Studies in Automation and Information Technology 28/29: 53-68.
[008] 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.
[009] 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). | Zbl 1167.93358
[010] 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. | Zbl 1198.93091
[011] 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. | Zbl 1283.93120
[012] Hwi-Beon, S. (1998). New anti-windup PI controller for variable-speed motor drives, IEEE Transactions on Industrial Electronics 45(3): 445-450.
[013] Janiszowski, K. (2005). Modification of digital PID controller for application in servo-drives, International Conference Hydraulics and Pneumatics, Vratna, Slovakia, pp. 614-624.
[014] 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.
[015] Maciejowski, J. (1989). Multivariable Feedback Design, Addison-Wesley, Cambridge. | Zbl 0691.93001
[016] Maciejowski, J. (2002). Predictive Control with Constraints, Pearson Education Limited. | Zbl 0978.93002
[017] Öhr, J. (2003). Anti-windup and Control of Systems with Multiple Input Saturations: Tools, Solutions and Case Studies, Ph.D. thesis, Uppsala University, Uppsala.
[018] Walgama, K. and Sternby, J. (1993). Conditioning technique for multiinput multioutput processes with input saturation, IEEE Proceedings-D 140(4): 231-241. | Zbl 0786.93057