A Complete Inverse Optimality Study for a Tank-Liquid System
<|reference_start|>A Complete Inverse Optimality Study for a Tank-Liquid System: This paper presents a complete inverse optimality study for a linearized tank-liquid system where the liquid is described by the viscous Saint-Venant model with surface tension and possible wall friction. We define an appropriate weak solution notion for which we establish existence/uniqueness results with inputs that do not necessarily satisfy any compatibility condition as well as stabilization results with feedback laws that are constructed with the help of a Control Lyapunov Functional. We show that the proposed family of stabilizing feedback laws is optimal for a certain meaningful quadratic cost functional. Finally, we show that the optimal feedback law guarantees additional stronger stability estimates which are similar to those obtained in the case of classical solutions.<|reference_end|>
@article{karafyllis2024a,
    title={A Complete Inverse Optimality Study for a Tank-Liquid System},
    author={Iasson Karafyllis, Filippos Vokos, Miroslav Krstic},
    journal={arXiv preprint arXiv:2405.16535},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.16535},
    primaryClass={math.OC cs.SY eess.SY math.AP}
}