Stability of Predictive Control in Job Shop System with Reconfigurable Machine Tools for Capacity Adjustment

Abstract

Due to changes in individual demand, manufacturing processes have becomemore complex and dynamic. To cope with respective fluctuations as well as machine breakdowns, capacity adjustment is one of the major effective measures. Instead of labor-oriented methods, we propose a machinery-based approach utilizing the new type of reconfigurable machine tools for adjusting capacities within a job shop system. To economically maintain desired work in process levels for all workstations, we impose a model predictive control scheme. For this method we show stability of the closed-loop for any feasible initial state of the job shop system using a terminal condition argument. For a practical application, this reduces the computation of a suitable prediction horizon to controllability of the initial state. To illustrate the effectiveness and plug-and-play availability of the proposed method, we analyze a numerical simulation of a four workstation job shop system and compare it to a state-of-the-art method. This article is the extension of a conference paper entitled ”Predictive Control of a Job Shop System with RMTs using EquilibriumTerminal Constraints” presented at the 6th International Conference on Dynamics in Logistics (LDIC2018).