Bibliografie
Conference Paper (international conference)
A finite difference scheme for iterative learning control oriented modelling of physical systems described by PDEs in polar coordinates
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: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems, p. 659-665
: The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018), (Hong Kong University of Science and Technology, HK, 20180716)
: Finite difference, Iterative learning control, PDE discretization
(eng): Iterative learning control is a well established area of research and applications in engineering and more recently healthcare. This form of control is especially suitable for applications where the system is required to make repeated executions of a finite duration task with resetting to the starting location at the end of each execution. The majority of the theory and designs are for systems described by finite dimensional differential or discrete dynamics but there is increasing interest in the extension to systems described by partial differential equations, where the interest in this paper is in the use of approximate finite dimensional models of the dynamics. The construction of such models studied using a regular hexagonal grid and polar coordinates, with a fourth order partial differential equation as an example. A supporting numerical application study is also given.
: BC
: 20201