$${H_infty }$$ Loop Shaping Control Under Parametric and Nonparametric Uncertainties: A Case Study

[摘要] A new control design procedure is presented to obtain an (H_infty ) loop shaping controller with guaranteed robustness properties in the presence of both nonparametric and parametric uncertainties. The method allows to describe imprecise parameters in terms of norm-bounded parametric uncertainties that are considered in addition to perturbations to normalized coprime factors of the shaped plant. In order to obtain an (H_infty ) controller that ensures stability and performance of the closed-loop system considering both uncertainties, a set of sufficient conditions based on LMIs is provided. Finally, the effectiveness of the design method was evaluated considering an industrial pilot plant where the proposed design procedure yields a reduction in the impact of imprecise resistance values caused, for example, by the encrusting of pipes...

[学科分类] 自动化工程

[关键词] (H_infty );Parametric uncertainty ;Industrial control systems ;Robust control