aDepartment of Aeronautics and Astronautics, Kyoto University, Kyoto 606-8501, Japan
bDepartment of Electrical and Electronic Engineering, Shizuoka University, Hamamatsu 432-8561, Japan
Abstract:
In this paper the output regulation problem for linear time-varying systems is considered. Replacing the regulator equation by a regulator differential equation we give a necessary and sufficient condition for the problem to be solvable. As in the time-invariant case we first solve the output regulation problem by state feedback and obtain the required condition. Then with the aid of observers we show that the same condition solves the general problem with measurement feedback. We then consider the classes of almost periodic and periodic systems and refine the main results. A simple example of an almost periodic system and simulation results are given to illustrate the theory.