Transport Delay Approximation to ODE: simulation, comparison of PDE, Padé, finite elements скачать в хорошем качестве

Transport Delay Approximation to ODE: simulation, comparison of PDE, Padé, finite elements

This video discusses what transport delay is, with transfer function exp(-ds), and proposes three approximations of it to a finite order N: -- Pade approximation of order N (well, Padé, it seems) -- Approximation of N finite elements of first order (each of them approximated with Pade of order 1) -- N finite element approximation with only poles. The initial part reviews the transport partial differential equation (PDE) and its solution by Laplace transform techniques (just a fast sketch, not the main objective; development is similar to the video    • [3/10] Partial Differential Equation:...   ). You can skip it and fast forward to minute 3 if you are not interested in the transport EDP, don't worry. The video compares the temporal (three cases: step, ramp, and 1st order filtered inputs) and frequency responses with different values of $N$ and draws conclusions about the validity conditions of the approximations. ________________ PDF/code/notes at: http://personales.upv.es/asala/YT/V/a... #controltheory #delay #controlengineering #pde #chemicalengineering _________________ Antonio Sala, UPV University lectures Full collection of videos at: https://personales.upv.es/asala/YT/in...