A finite difference scheme for iterative learning control oriented modelling of physical systems described by PDEs in polar coordinates

0492892 - ÚTIA 2019 HK eng C - Konferenční příspěvek (zahraniční konf.)
Augusta, Petr - Cichy, B. - Galkowski, K. - Rogers, E.
A finite difference scheme for iterative learning control oriented modelling of physical systems described by PDEs in polar coordinates.
Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. Hong Kong: Hong Kong University of Science and Technology, 2018, s. 659-665.
[The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018). Hong Kong University of Science and Technology (HK), 16.07.2018-20.07.2018]
Institucionální podpora: RVO:67985556
Klíčová slova: Finite difference * Iterative learning control * PDE discretization
Obor OECD: Electrical and electronic engineering

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.
Trvalý link: http://hdl.handle.net/11104/0286501