Disturbance rejection performance limit for a class of disturbance signals

This paper deals with analysis of fundamental limitations in tracking control problems. In the existing results, the fundamental limitations are analyzed based on detailed assumptions of reference signals such as the step and the trigonometrical signals and so on. On the other hand, we define a class of reference signals in a general manner. For the general class of reference inputs, we give the analysis of the tracking performance limitations. The obtained results extend and give a uniform description of the results. Moreover, the analysis results separate clearly the contributions of the plant and the reference characteristics. The results are illustrated by using examples.