A New Look at the Target Feedback Loop Parameterization for $$mathcal {H}_{infty }$$/LTR Control

[摘要] In this paper, a new approach on the target feedback loop (TFL) parameterization for the (mathcal {H}_{infty })/loop transfer recovery (LTR) control is presented. The proposed procedure, which is based on a similarity transformation, allows to obtain a first-order system behavior through a particular shaping of the TFL sensitivity in terms of singular values. Furthermore, the proposed methodology makes possible to augment the design plant model with any stable real-finite pole, and not only a pole at the origin, as classical TFL parameterization procedures suggest. Thus, the proposed methodology should gather great attention by LTR-based control applications in which the use of integrators in the open-loop is undesirable or even prohibitive. Additional properties are derived if the design plant model does not have poles at the open right-half plane. Since (mathcal {H}_{infty })/LTR control can be viewed as a generalization of well-known LQG/LTR control, the proposed methodology in this paper to shape the TFL can be properly extended to the LQG/LTR control...

[学科分类] 自动化工程

[关键词] Target feedback loop parameterization ;Loop transfer recovery ;(mathcal {H}_{infty });LQG/LTR control