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- W2766151505 abstract "Efficient integration schemes with sensitivity propagation are crucial for deploying real-time Nonlinear Model Predictive Control on systems described by continuous time dynamics. Implicit integration schemes are preferred when stiff modes are present in the model equations, or when the equations are implicit. We consider here a class of models, where the dynamics are linear, but coupled to a general static nonlinear feedback function. We propose a collocation-based implicit integration scheme where a lifting-condensing approach is used to exploit this specific structure to reduce the size of the linear algebra underlying the integrator. This technique yields a significant reduction in the computational complexity of performing the system integration and sensitivity analysis, when the static nonlinearity is of much smaller dimensions than the complete dynamics. The proposed method is illustrated on a complex wind turbine model, resulting in a significant gain of computational time in the linear algebra, and an overall gain of computational time of a factor 2." @default.
- W2766151505 created "2017-11-10" @default.
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- W2766151505 date "2017-07-01" @default.
- W2766151505 modified "2023-09-27" @default.
- W2766151505 title "Implicit Integrators for Linear Dynamics Coupled to a Nonlinear Static Feedback and Application to Wind Turbine Control * *This research was supported by the Freiburg Institute for Advanced Studies (FRIAS), by the EU via ERC-HIGHWIND (259 166), ITN-TEMPO (607 957), ITN-AWESCO (642 682) and by the DFG (FOR 2401)" @default.
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- W2766151505 doi "https://doi.org/10.1016/j.ifacol.2017.08.063" @default.
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