Variable structure control for parabolic evolution equations

Details Variable structure control for parabolic evolution equations Variable structure control for parabolic evolution equations

2005-06-03

arxiv.org/abs/math/0506060v1

Mathematics

Optimization and Control

Submitted for presentation to the Joint 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005;

Scientific paper

In this paper it is considered a class of infinite-dimensional control systems in a variational setting. By using a Faedo-Galerkin method, a sequence of approximating finite dimensional controlled differential equations is defined. On each of these systems a variable structure control is applied to constrain the motion on a specified surface. Under some growth assumptions the convergence of these approximations to an ideal sliding state for the infinite-dimensional system is shown. Results are then applied to the Neumann boundary control of a parabolic evolution equation.

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