标题:Modeling and Iterative Learning Control of a Circular Deformable Mirror * * This work is partially supported by National Science Centre in Poland, grant No.2015/17/B/ST7/03703.
摘要:AbstractAn unconditionally stable finite difference scheme for systems whose dynamics are described by a fourth-order partial differential equation is developed using a regular hexagonal grid. The scheme is motivated by the well-knownCrank-Nicolsondiscretization that was originally developed for second-order systems and it is used in this paper to develop a discrete in time and space model of a deformable mirror as a basis for control law design. As one example, the resulting model is used for iterative learning control law design and supporting numerical simulations are given.
关键词:KeywordsIterative learning controlControl of partial differential equationsStability of distributed parameter systemsLinear systemsN-dimensional systems