2007 Volume 43 Issue 9 Pages 812-820
This paper considers optimal tracking control problems. Our primary objective is to derive analytical solutions of fundamental limitations for a class of references in tracking control problem. It is well known that L2 norm of an error, which is defined by difference between an output and a reference, doesn't go to zero when we consider transient response for non-minimum phase systems. In the existing results, fundamental limitation is derived for each reference signal such as the step reference. In these results, we need consider whether the plant is easy to control or not in each reference. On the other hands, fundamental limitations are derived as functionals of references in this paper. In other words, we derive analytical performance limitation for a class of references. As a result, we can expect to separate contribution of references and that of plants in performance limitations.
