ABSTRACT
Having studied during the last decade several aspects of control design problems for linear systems with magnitude and rate constraints on control variables, during the last two years the research thrust of the first two authors and the last author and their students has broadened to include magnitude and rate constraints on control variables as well as state variables. In connection with stabilization, whenever amplitude and rate constraints on both state as well as input variables exist, a taxonomy of all possible constraints is introduced, and several fundamental results on global, semiglobal, and regional stabilization were developed in [11]. It has become evident that the taxonomy of constraints developed there plays a dominant role in every type of constraint control problem including output regulation which is the main focus of this chapter.
