Rechazo de perturbaciones por técnicas de estructura al infinito y control geométrico

Abstract

In this paper are showed two methods used in the theory of control systems for the problem of disturbance rejection. The first of these methods is called the structure at infinity, which works in the frequency domain, use the mathematical models of the nominal system and the perturbed system, make analysis of the structure at infinity of each model and if the structure at infinity of both systems are similar, the theory suggests that the system supports disturbance rejection. To illustrate this method using examples academics as well as physical problems. The second is the geometric approach, this method works with states equations and invariant subspaces. This looking for reject the disturbance in a subspace invariant by a suitable control function so that the disturbance does not affect the system output. Like the first method also used academic and physical examples for illustration. To compare the two methods working in a hydraulic press and a thermal system.