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Gröbner bases for modules are used to calculate a generalized linear immersion for a plant whose solutions to its regulation equations are polynomials or pseudo-polynomials. After calculating the generalized linear immersion, we build the controller which gives the robust regulation.
We consider a semilinear heat equation in an unbounded
domain Ω with partially known initial data. The insensitizing problem
consists in finding a control function such that some functional of the
state is locally insensitive to the perturbations of these initial data. For
bounded domains Bodart and Fabre proved the existence of insensitizing controls of the norm of the observation of the solution in an open
subset of the domain. In this paper we prove similar results when Ω is
unbounded. We consider...
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