A MoI Based on ℌ∞ Theory — with a Case Study

Control system design methods based on ℌ∞ theory are able to produce controllers that are both robust to model uncertainty and that have good performance. Furthermore, the method is applicable to multivariable systems. However, specifications for control system designs are rarely expressed explicitly in terms of the ℌ∞-norm. Thus it is often not clear how to choose the weighting functions required in ℌ∞-based design in order to meet the specifications. By posing the problem using the principle of inequalities (PoI), a method of inequalities (MoI) is proposed that can overcome some of the limitations of ℌ∞-based control design. The efficacy of the method is demonstrated by a case study of the control of a distillation column.

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