TY - JOUR

T1 - Distinguishability study of 3-Mass Models for Electromechanical Motion Systems

AU - Tantau, Mathias

AU - Helmke, Christian

AU - Perner, Lars

AU - Wielitzka, Mark

N1 - Funding information: This work was sponsored by the German Forschungsvereinigung Antriebstechnik e.V. (FVA) and the AiF Arbeitsgemeinschaft industrieller Forschungsvereinigungen “Otto von Guericke” e.V.

PY - 2020

Y1 - 2020

N2 - Physically motivated models of electromechanical motion systems are required in several applications related to control design and auto-tracking, model-based fault detection, feed-forward, and simply interpretation. However, attempts to create such models automatically via structure and parameter identification struggle with ambiguities regarding the correct internal structure of the model. Designing a reasonable set of candidate models is difficult, because it is not known which models are distinguishable andwhich are not. This paper gives a simple to use necessary condition for indistinguishability of multiple mass models as they are used to model the control-relevant features of motion systems. In an automated way models are generated that can be created by considering elasticities at different positions in themechanical structures. The condition is applied to thesemodels for the case of three masses. In three examples it is shown that the criterion simplifies the subsequent structure and parameter identification considerably by reducing the number of possible models. For higher numbers of masses, however, it would become intractable.

AB - Physically motivated models of electromechanical motion systems are required in several applications related to control design and auto-tracking, model-based fault detection, feed-forward, and simply interpretation. However, attempts to create such models automatically via structure and parameter identification struggle with ambiguities regarding the correct internal structure of the model. Designing a reasonable set of candidate models is difficult, because it is not known which models are distinguishable andwhich are not. This paper gives a simple to use necessary condition for indistinguishability of multiple mass models as they are used to model the control-relevant features of motion systems. In an automated way models are generated that can be created by considering elasticities at different positions in themechanical structures. The condition is applied to thesemodels for the case of three masses. In three examples it is shown that the criterion simplifies the subsequent structure and parameter identification considerably by reducing the number of possible models. For higher numbers of masses, however, it would become intractable.

KW - indistinguishability analysis

KW - multiple mass resonators

KW - multiple mass models

KW - electric drive trains

KW - electromechanical motion systems

KW - servo control systems

KW - structure and parameter identication

KW - model selection

KW - model structure optimization

KW - transfer function type

KW - poles and zeros

KW - frequency domain

KW - frequency response function

KW - FRF

KW - Electric drive trains

KW - Electromechanical motion systems

KW - Frequency domain

KW - Frequency response function

KW - FRF

KW - Indistinguishability analysis

KW - Model selection

KW - Model structure optimisation

KW - Multiple mass models

KW - Multiple mass resonators

KW - Poles and zeros

KW - Servo control systems

KW - Structure and parameter identification

KW - Transfer function type

UR - http://www.scopus.com/inward/record.url?scp=85113142048&partnerID=8YFLogxK

U2 - 10.15488/11342

DO - 10.15488/11342

M3 - Article

VL - 36

SP - 175

EP - 187

JO - International Journal of Modelling, Identification and Control (IJMIC)

JF - International Journal of Modelling, Identification and Control (IJMIC)

IS - 3

M1 - 3

ER -