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AUTOMATICA
2004

Hamiltonian discretization of boundary control systems

9 years 7 months ago
Hamiltonian discretization of boundary control systems
A fundamental problem in the simulation and control of complex physical systems containing distributed-parameter components concerns finite-dimensional approximation. Numerical methods for partial differential equations (PDEs) usually assume the boundary conditions to be given, while more often than not the interaction of the distributed-parameter components with the other components takes place precisely via the boundary. On the other hand, finite-dimensional approximation methods for infinite-dimensional input-output systems (e.g., in semi-group format) are not easily relatable to numerical techniques for solving PDEs, and are mainly confined to linear PDEs. In this paper we take a new view on this problem by proposing a method for spatial discretization of boundary control systems based on a particular type of mixed finite elements, resulting in a finite-dimensional input-output system. The approach is based on formulating the distributed-parameter component as an infinite-dimensio...
Goran Golo, Viswanath Talasila, Arjan van der Scha
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2004
Where AUTOMATICA
Authors Goran Golo, Viswanath Talasila, Arjan van der Schaft, Bernhard Maschke
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