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Controllability and Energy-Optimal Control of Time-Variant Fractional Systems

Eckert, Marius; Nagatou, Kaori; Rey, Felix; Stark, Oliver; Hohmann, Sören

Abstract (englisch):
Time-variant fractional models are used to describe many applications, e.g. lithium-ion batteries. For such models, neither a controllability criterion for state space equations nor the energy-optimal control function are available so far. To overcome this limitation, in this paper a reachability and controllability definition for time-variant fractional state space systems is formulated and the analytical solution of the energy-optimal control problem is derived. In this context, a fractional Gramian-Matrix appears. The fact that the fractional system state must be interpreted differently than the state of a regular system is central to this paper. The reason for the difference in the interpretation is that the fractional system state additionally depends on an initialization procedure.

DOI: 10.1109/CDC.2018.8619785
Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Institut für Analysis (IANA)
Publikationstyp Proceedingsbeitrag
Jahr 2018
Sprache Englisch
Identifikator ISBN: 978-1-5386-1396-2
KITopen-ID: 1000084841
Erschienen in 2018 IEEE Conference on Decision and Control (CDC 2018), Miami, FL, December 17-19, 2018
Veranstaltung IEEE Conference on Decision and Control (CDC 2018), Miami, FL, USA, 17.12.2018 – 19.12.2018
Verlag IEEE, Piscataway (NJ)
Seiten 4607-4612
Schlagworte fractional, energy, optimal, controllability, time-variant system, Riemann-Liouville, Caputo
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