The Output Regulation Problem Of Time-varying Linear Systems

In this paper, the output regulation problem of time-varying linear systems is discussed. In the first part, under the slowly-varying conditions, the output regulation problem of time-varying linear systems is discussed. For the output regulation problem of slowly-varying linear systems via full information feedback, a sufficient condition of solvability is given. When the matrix equations are solvable, a feedback law which solves the problem is constructed. In part two, the output regulation problem for linear time-varying systems is discussed. A necessary and sufficient condition for the problem to be solvable is given. Then, the classes of almost periodic systems are considered, and a simple example of an almost periodic system and simulation results are given to illustrate the theory.