The Effect of Uncertainty on Controller Performance

摘要

In most model-based control schemes, the design performance is rarely achieved due to the presence of model plant mismatch. In this study the effect of modelling uncertainty on achieved controller performance is investigated. Particular attentionis paid to uncertainty in the time delay. With the design performance as the reference point, bounds are derived on the achieved variances for the manipulated variables and controlled outputs, in the presence of model plant mismatch. For the deterministic case, similar bounds are obtained on the 2-norm (sum of errors squared) of the output errors. A simulation example is presented to illustrate the results.