Institute of Information Theory and Automation

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Bibliography

Conference Paper (international conference)

An unconditionally stable approximation of a circular flexible plate described by a fourth order partial differential equation

Augusta Petr, Cichy B., Galkowski K., Rogers E.

: Proceedings of the 21st International Conference on Methods and Models in Automation & Robotics, p. 1039-1044

: The 21st International Conference on Methods and Models in Automation & Robotics Międzyzdroje, Poland, MMAR 2016, (Amber Baltic Hotel, Międzyzdroje, PL, 29.08.2016-01.09.2016)

: Partial differential equation, unconditionally stable discretization, hexagonal grid

: 10.1109/MMAR.2016.7575281

(eng): An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed with use of regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analyzed by von Neumann’s method. Using the new scheme, a discrete in time and space model of a deformable mirror is derived as the basis for control law design. The convergence of this scheme for various values of the discretization parameters is checked by numerical simulations.

: BC

2019-01-07 08:39