Maximizing Strictly Convex Quadratic Functions with Bounded Perturbations

Phú, Hoàng Xuân; Pho, V.M.; An, Peng

doi:10.1007/s10957-010-9772-4

Cited by 1 publication

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“…This statement follows from the so-called Γ -convex nature of the objective function in (54) when the map G is bounded. The interested reader is referred to, for example, [60][61][62] for further detail.…”

Section: Remark 30mentioning

confidence: 99%

Optimal control of wave energy systems considering nonlinear Froude–Krylov effects: control-oriented modelling and moment-based control

et al. 2022

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Motivated by the relevance of so-called nonlinear Froude–Krylov (FK) hydrodynamic effects in the accurate dynamical description of wave energy converters (WECs) under controlled conditions, and the apparent lack of a suitable control framework effectively capable of optimally harvesting ocean wave energy in such circumstances, we present, in this paper, an integrated framework to achieve such a control objective, by means of two main contributions. We first propose a data-based, control-oriented, modelling procedure, able to compute a suitable mathematical representation for nonlinear FK effects, fully compatible with state-of-the-art control procedures. Secondly, we propose a moment-based optimal control solution, capable of transcribing the energy-maximising optimal control problem for WECs subject to nonlinear FK effects, by incorporating the corresponding data-based FK model via moment-based theory, with real-time capabilities. We illustrate the application of the proposed framework, including energy absorption performance, by means of a comprehensive case study, comprising both the data-based modelling, and the optimal moment-based control of a heaving point absorber WEC subject to nonlinear FK forces.

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