Final colloquium Stef Daams

Control Strategies for Max-Min-Plus-Scaling Systems: An introduction on open-loop and closed-loop control

Supervisors: dr. ir. T.J.J. van den Boom, ir. S. Markkassery

Reader: dr. ir. M.B. Mendel

Abstract: This thesis offers a detailed exploration of the integration of input signals and control mechanisms within max-min-plus-scaling systems, a subclass of discrete-event systems. Unlike traditional control systems, which rely on continuous evolution modeled by differential equations, discrete-event systems progress through the occurrence of discrete events. Max-min-plus-scaling systems enhance this adaptability by encompassing maximization, minimization, scaling, and addition, creating a framework for modeling and managing various processes, including logistics networks and urban railway systems.

The primary objective of this thesis is to introduce input signals into max-min-plus-scaling systems and systematically investigate control strategies. This involves establishing a structure accommodating these input signals while preserving essential properties such as time invariance. The study examines both open-loop and closed-loop control strategies, focusing on the latter to implement optimization-based control to optimize system performance through effective feedback control.