Szczegóły publikacji

Opis bibliograficzny

Sensitivity of Pareto optimality in multicriteria optimal control with respect to the reduction of the terminal time / Andrzej M. J. SKULIMOWSKI, Ewa Pawłuszewicz, Masoud KARIMI // W: MMAR 2025 [Dokument elektroniczny] : 29th international conference on Methods and Models in Automation and Robotics : 26–29 August 2025, Międzyzdroje, Poland : technical papers : on line proceedings. — Wersja do Windows. — Dane tekstowe. — Piscataway : IEEE, cop. 2025. — ( International Conference on Methods and Models in Automation and Robotics ; ISSN  2835-2815 ). — USB ISBN: 979-8-3315-2648-1. — Print on Demand(PoD) ISBN: 979-8-3315-2650-4. — e-ISBN: 979-8-3315-2649-8. — S. 473–478. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 478, Abstr.

Autorzy (3)

Słowa kluczowe

anytime controlsensitivity of optimal trajectoriestemporal preference modellingpersistently nondominated trajectorybang-bang principlemulticriteria optimal control

Dane bibliometryczne

ID BaDAP162301
Data dodania do BaDAP2025-09-11
Tekst źródłowyURL
DOI10.1109/MMAR65820.2025.11150863
Rok publikacji2025
Typ publikacjimateriały konferencyjne (aut.)
Otwarty dostęptak
WydawcaInstitute of Electrical and Electronics Engineers (IEEE)
KonferencjaInternational Conference on Methods and Models in Automation and Robotics 2025
Czasopismo/seriaInternational Conference on Methods and Models in Automation and Robotics

Abstract

This paper investigates the sensitivity of solutions to multicriteria optimal control (MOC) problems with respect to unexpected reductions of terminal time. A trajectory of a MOC problem with a fixed terminal time T is termed persistently nondominated on an interval [s,T] if it remains Pareto optimal for all problems with terminal times within [s,T]. Finding such trajectories may be particularly important in situations where the terminal time is free, uncertain, or subject to external influences, such as in flood control, epidemic management, or when mitigating adversarial behavior of players in non-cooperative differential games. Building on our earlier work, this paper provides a solution framework for stationary linear control systems with multiple linear-quadratic integral criteria. Our approach derives conditions that guarantee the Pareto optimality of a trajectory despite a reduction of the control period. We present a computational procedure to identify which optimal controls maximize the length of the subinterval of the control period over which the trajectory remains Pareto optimal. The problem of finding persistently nondominated trajectories can be viewed as a special case of anytime control problem for multicriteria trajectory optimization. The proposed approach is illustrated with a numerical example involving a water reservoir control problem, demonstrating its practical utility in real-world scenarios.

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