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Controllability and Energy-Optimal Control of Time-Variant Fractional Systems [in press]

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.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Proceedingsbeitrag
Jahr 2018
Sprache Englisch
Identifikator KITopen ID: 1000084841
Erschienen in 57th IEEE Conference on Decision and Control (CDC 2018), Miami, FL, December 17-19, 2018
Verlag IEEE, Piscataway (NJ)
Schlagworte fractional, energy, optimal, controllability, time-variant system, Riemann-Liouville, Caputo
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