15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
RELATIONS BETWEEN STABLE PREDICTIVE CONTROL AND POLE PLACEMENT
M. Fikar* H. Unbehauen** J. Mikleš*
* Department of Process Control, CHTF STU, Radlinského 9,
SK-812 37 Bratislava, Slovakia,
Tel: +421 2 53 25 366, Fax: +421 2 39 31 98
E-mail: fikar@cvt.stuba.sk
** Control Engineering Laboratory, Faculty of Electrical
Engineering and Information Sciences, Ruhr-University Bochum,
D44780 Universitätsstr. 150, Germany,
Tel: ++49/234 32 28071, Fax: ++49/234 32 14101

In this paper, several relations between pole placement (PP) controller and unconstrained predictive controller are investigated. The placement of poles at certain positions leads to various types of time optimal control and has a direct relation to the choice of minimum control and output horizons for stabilising MPC. On the other hand, a predictive control method for linear systems is derived that can be turned into some well known stabilising MPC methods. This MPC method is closely related to the PP design.
Keywords: Predictive control, stability, algebraic systems theory
Session slot T-Fr-M18: New achievements in polynomial methods for system control theory/Area code 2b : Linear Systems