Parametrized Maximal Admissible Sets with Application to Constraint Management of Systems with Slowly-Varying Parameters

Published

January 23, 2025

Author(s)

DJ Anand, Hamid Ossareh, Yasaman Pedari, Collin Freiheit

Abstract

Real-time constraint management schemes for timevarying or parameter-varying systems often result in conservative (slow) responses or carry a heavy computational burden. This makes some of the existing solutions less suitable for practical applications within these systems. To address this issue, this paper proposes a numerically efficient Reference Governor (RG) scheme for constraint management of systems with slowly timevarying parameters and constraints. The solution, which we call the Adaptive-Contractive Reference Governor (RG-AC) utilizes a contractive, parameterized characterization of the so-called Maximal Admissible Set (MAS). To ensure low computational overhead, this Parameter-Dependent MAS (PD-MAS) is approximated using a sensitivity-based method that describes the changes in the facets of PD-MAS as a function of the system parameters around a nominal operating point. The computational and theoretical properties of the PD-MAS and RG-AC are presented. The effectiveness and limitations of the proposed method are demonstrated by studying a basic mass spring damper system.

Citation

Journal of Dynamic Systems Measurement and Control-Transactions of the ASME

Pub Type

Journals

Download Paper

https://doi.org/10.1115/1.4067513

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Keywords

Reference governor, Maximal admissible set, Constraint management, Time-varying parameters, Inverter control I.

Citation

Anand, D. , Ossareh, H. , Pedari, Y. and Freiheit, C. (2025), Parametrized Maximal Admissible Sets with Application to Constraint Management of Systems with Slowly-Varying Parameters, Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, [online], https://doi.org/10.1115/1.4067513, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=957251 (Accessed March 14, 2025)