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Abstract.
Ill-conditioned plants are generally believed to be difficult to
control. Using a high-purity distillation column as an example, the
physical reason for the poor conditioning and its implications on
control system design and performance are explained. It is shown that
an acceptable performance/robustness trade-off cannot be obtained by
simple loop-shaping techniques (via singular values) and that a good
understanding of the model uncertainty is essential for robust control
system design. Physically motivated uncertainty descriptions (actuator
uncertainty) are translated into the H1/Structured Singular Value
framework, which is demonstrated to be a powerful tool to analyze and
understand the complex phenomena.