Geometric approach and structure at infinity controls for the disturbance rejection

Abstract

This study presents two methods to solve the disturbance rejection problem: the structure at infinity control and geometric approach control. The main result of this study is although the two methods are different, in both cases if the problem has a solution, the transfer function of the outputs and the disturbances is null. Both methods are applied in a mechanical system and a thermal system showing a good performance.

Reliability of disturbance rejection control based on the geometrical disturbance decoupling

“…Based on [1], the following propositions are equivalent for nominal systems without uncertainty: (a) Disturbance (w) is rejected by the feedback control law u = Kx + Gŵ such that the transfer function from disturbance to the output of interest is null. (b) Im(H) ⊆ V ⊕ Im(B).…”

“…On the other hand, since industrial plants are under the effect of input perturbations known as a disturbance signals, an efficient detection mechanism opens the possibility to control their impact on the system outputs. Recently, Rubio et al compared the structure at infinity control method with the geometric approach to reject the disturbance by setting the transfer function from the disturbance to output to null [1]. In this paper, the reliability of the geometrical approach in disturbance detection/rejection is investigated with respect to feedback gain perturbations.…”