Transient performance in classical output regulation

Abstract

Chapter 2 deals with the classical output regulation problem. One of its shortcomings is that it gives importance only to steady state tracking error, namely rendering it exactly equal to zero. The natural engineering issues regarding the transient behavior of the error signal are not addressed at all. Such issues can include minimizing the over-shoot or under-shoot of the error signal, or more generally appropriate shaping of the error signal. In this regard, for instance, one may like to impose in the statement of output regulation problem certain requirements on the transient performance so that one can shape appropriately the transient behavior of tracking error in addition to the desired steady state requirements. This is what we consider in this chapter.