Summary
This chapter gives an overview of simple controllers for SISO systems based on the generalization of the linear pole assignment method for constrained systems with dynamics ranging from relay minimum time systems to linear pole assignment systems. The design is based on splitting the nth-order system dynamics into n first-order ones, which can be constrained without any problems with stability and overshooting. It requires a successive decrease of the distance of the representative point from the next invariant set with lower dimension. Since the distance of the representative point to such invariant set can be defined in many ways, the construction of the constrained controllers is not unique. The controllers derived from the second-order integrator are simple, appropriate also for extremely fast application, and easy to tune by a procedure that generalizes the well-known methods by Ziegler and Nichols, or ?Aström and Hägglund, respectively.
Keywords
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.
This work has been partially supported by the Slovak Scientific Grant Agency, Grant No. 1/7621/20.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aström, KJ, Hägglund T (1984). Automatic tuning of simple regulators with specification of phase and amplitude margins. Automatica 20(5):645–651
Bemporad A, Morari M, Dua V, Pistikopoulos EN (2002). The explicit linear quadratic regulator for constrained systems. Automatica 38:3–20
Föllinger O (1994). Regelungstechnik. 8. Auflage, Hüthig Buch Verlag Heidelberg
Henrion D, Tarbouriech S, Kučera V (2001). Control of linear systems subject to input constraints: a polynomial approach. Automatica 37:597–604
Hippe P (2003). A new windup prevention scheme for stable and unstable systems. In: Proceedings of 2nd IFAC Conference on Control Systems Design’ 03, Bratislava, Slovak Republic
Huba M (1999). Dynamical classes in the minimum time pole assignment control. In: Computing anticipatory systems-CASYS’ 98. American Institute of Physics, Woodbury, NY
Huba M, Bisták P, Skachová Z, Žáková K (1998). P-and PD-controllers for I1 and I2 models with dead time. 6th IEEE Mediterranean Conference on Control and Systems, Alghero, Italy 514–519
Huba M, Bisták P (1999). Dynamic classes in the PID control. In: Proceedings of the 1999 American Control Conference, San Diego, CA
Huba M, Sovišová D, Oravec I (1999). Invariant sets based concept of the pole assignment control. In: European Control Conference, VDI/VDE Düsseldorf, Germany
Huba M (2003). Constrained systems design. Vol. 1, Basic controllers. Vol. 2, Basic structures. STU Bratislava (in Slovak)
Huba M (2003). The helicopter rack control, 11th Mediterranean Conference on Control and Automation, Rhodes, Greece
Huba M. (2004). Gain scheduled constrained controller for SISO plants. In: Southeastern Europe, USA, Japan and EC Workshop on Research and Education in Control and Signal Processing REDISCOVER 2004, Cavtat, Croatia, 1:104–107
Huba M, Bisták P (2004). Constrained controllers based on the dynamics decomposition. In: Southeastern Europe, USA, Japan and EC Workshop on Research and Education in Control and Signal Processing REDISCOVER 2004, Cavtat, Croatia, 1:49–52
Huba M (2004). Gain scheduled constrained controller for SISO plants. IFAC Conf. NOLCOS 2004, Stuttgart
Rönnbäck S (1996). Nonlinear dynamic windup detection in anti-windup compensators. Preprints CESA’ 96, Lille, 1014–1019
Ziegler JG, Nichols NB (1942). Optimum settings for automatic controllers. Trans. ASME, 759–768
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
Huba, M. (2006). Constrained Pole Assignment Control. In: Menini, L., Zaccarian, L., Abdallah, C.T. (eds) Current Trends in Nonlinear Systems and Control. Systems and Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4470-9_9
Download citation
DOI: https://doi.org/10.1007/0-8176-4470-9_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4383-6
Online ISBN: 978-0-8176-4470-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)