Stable receding horizon control for max-plus-linear systems

被引：0
|
作者：
Necoara, I. [1 ]
De Schutter, B. [1 ]
Van den Boom, T. J. J. [1 ]
Hellendoorn, J. [1 ]
机构：
[1] Delft Univ Technol, Delft Ctr Syst & Control, Mekelweg 2, NL-2628 CD Delft, Netherlands
来源：
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2006年 / 1-12卷
关键词：
D O I：
10.1109/ACC.2006.1657353
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We develop a stabilizing receding horizon control (RHC) scheme for the class of discrete-event systems called max-pus-linear (MIPL) systems. MPL systems can be described by models that are "linear" in the max-plus algebra, which has maximization and addition as basic operations. In this paper we extend the concept of positively invariant set from classical system theory to discrete-event MPL systems. We define stability for the class of MPL systems in the sense of Lyapunov. For a particular convex piecewise affine cost function and linear input-state constraints the RHC optimization problem can be recast as a linear program. Using a dual-mode approach we are able to prove exponential stability of the RHC scheme. We derive also a constrained time-optimal controller by solving a sequence of parametric linear programs.
引用
收藏
页码：4055 / +
页数：2
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