Title :
On MPC for max-plus-linear systems: Analytic solution and stability
Author :
van den Boom, T.J.J. ; Schutter, B. De ; Necoara, I.
Author_Institution :
Delft Center for Systems and Control, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands, email: tjj.vandenboom@dcsc.tudelft.nl
Abstract :
In previous work we have extended the popular Model Predictive Control (MPC) design technique to a class of discrete event systems that can be described by a model that is "linear" in the max-plus algebra. In this paper we study the analytic solution of the MPC controller for these max-plus- linear (MPL) systems and we compare this solution with other well-known control schemes. Furthermore, we derive tuning rules for the controller parameters that guarantee us a stable feasible and stable operation of the controller.
Keywords :
Algebra; Concurrent computing; Control system synthesis; Control systems; Discrete event systems; Electrical equipment industry; MIMO; Predictive control; Predictive models; Stability analysis;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583425
