Scientific Computing and Control Theory

Leader of the group Scientific Computing and Control Theory (MAC2): Cees Oosterlee 

At present, the group consists of the following two subgroups:

MAC2.1: Scientific Computing
MAC2.2: Control and System Theory

Scientific Computing (MAC2.1)
In this group, advanced numerical techniques are developed. Applications are complex computational problems in fluid dynamics, magnetohydrodynamics and risk management (for finance and dike heights). At present, emphasis lies on the development of:

  • Immersed boundary methods for flow computations around complex moving and/or deforming bodies.
  • A computational method for the development of wind-farm aerodynamics.
  • A numerical method for the Hamilton-Jacobi-Bellman equation, for the control of dike levels.
And recently research has also started on the investigation of:
  • Edge Localized Modes in tokamak plasmas, by further development and application of computational tools.

Control and System Theory (MAC2.2)
The research objective in control theory is to develop theory and algorithms for control of discrete-event systems and of hybrid systems. The motivation of this project is control of traffic in motorway, railway, air traffic, and other networks. The current research focus includes: discrete-event control of piecewise-linear hybrid systems, realization of hybrid systems, decentralized failure diagnosis and decentralized control of discrete-event systems, and supervisory control of discrete-event systems for partial observations with coalgebra; modular control synthesis.
The research objective is also to develop realization theory and system identification theory. Classes of systems that will receive attention include: Gaussian systems, finite stochastic systems, positive linear systems, and hybrid systems. The research is motivated by control and signal processing. Here, the actual research focus includes: computer algebra algorithms for identification and control problems of linear systems, analysis of the approximation problem for stationary Gaussian systems, stochastic realization, realization of positive systems, and application of positive systems in the biosciences.

Members
Bin Chen, Tijmen Collignon, Pieter Collins, Arne van Garrel, Luc Habets, Hanna Hardin, Yunus Hassen, Willem Haverkort, Piet Hemker, Pia Kempker, Barry Koren, Jana Nemcova, Margreet Nool, Cornelis Oosterlee, Mihaly Petreczky, Sander van der Pijl, Benjamin Sanderse, Jan van Schuppen, Lorenzo Sella, Rong Su, Dirk De Vos, Ivan Zapreev.

Group publications
Publications of Scientific Computing and Control Theory in CWI repository.

This group is part of the cluster Modelling, Analysis and Computing (MAC).