Shape control

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

Shape Control in Tokamaks

The need of achieving always better performance in present and future tokamak devices has pushed plasma control to gain more and more importance in tokamak engineering. When high performance and robustness are required, it is essential to adopt a model-based approach to design a control system. In this paper we introduce the basics of plasma current, shape position control in tokamaks. As examp...

shape-measure method for solving elliptic optimal shape problems (fixed control case)

Shape control of 3D lemniscates

A 3D lemniscate is the set of points whose product of squared distance to a given finite family of fixed points is constant. 3D lemniscates are the space analogs of the classical lemniscates in the plane studied in [5]. They are bounded algebraic surfaces whose degree is twice the number of foci. Within the field of computer aided geometric design (CAGD), 3D lemniscates have been considered in ...

Shape Deformation and Optimal Control

Shape deformation analysis is concerned with determining a deformation of a given shape into another one, which is optimal for a certain cost. We provide the main ideas for a new general approach to shape deformation analysis, using the framework of optimal control theory. This point of view can be made independent from the parametrization of the shape, and allows to model general constrained s...