Abstract

Abstract A general frequency analysis, which for multivariable systems simultaneously describes nominal performance like set-point tracking and disturbance rejection and robustness properties like output sensitivity to modelling errors and stability margin is presented. As a case study the control of a distillation column is examined. Different control schemes, such as geometric control, optimal control and PI control, are analysed. These results are compared to those of transient simulations for both nominal and perturbed systems. This comparison shows that the analysis yields both qualitative and quantitative insight to the controlled system. A major result is that geometric control of the distillation column has a sensitivity equivalent to a similar open-loop configuration. This sensitivity may, however, be reduced by applying pole shifting to the geometric controller.

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