$$H_\infty $$H∞ Model Reduction for the Distillation Column Linear System

In the paper, the problem of model reduction is considered for the distillation column linear system. For a given stable distillation column linear system, the objective is to find the construction of a reduced-order model, which approximates the original system well in the robust $$H_\infty $$H∞ performance. Some sufficient conditions to characterize the $$H_\infty $$H∞ norm bound error performance are proposed in terms of linear matrix inequalities (LMIs). Following the proposed projection approach, the $$H_\infty $$H∞ model reduction problem is solved, which casts the model reduction subject to LMIs constraints. Finally, a practical example of the distillation column linear system is provided to illustrate the effectiveness of the proposed method.