Abstract
In this paper, we consider the repetitive control problem for the single-input, single-output, linear time-invariant, continuous-time plants, using the different approach from the past studies for the stabilization of the closed-loop systems.
In our approch, we derive the parametrization of all stabilizing controllers by solving the Bezout identity. The Bezout identity include the time-delay element in the repetitive control problem. So, generally speaking, solving it is complicated and difficult, compared with the finite-dimensional case.
However, we will show in this paper that it can be relatively easy to solve the Bezout identity under some condition and that the response can be improved by our approach.
