Abstract
In recent years, an adaptive control problem which has the unknown parameters and states has been actively examined, and many approaches have proposed recently. But most of those studies are done without any limitation of input amplitude.
In this paper, we deal with the problem of constructing an adaptive control system for a single-input single-output time-invariant discrete system with the limitation of input amplitude. In order to able to discuss this as linear problem for the plant with an amplitude limitation, we introduce a compensator called the dispersion filter, and the structure and its feature are explained in detail. Based on the prior information of the dispersion filter, two adaptive control schemes are proposed. At the end of this paper, the results of the simulation of a third-order unstable system are included in order to show the effectiveness of the proposed schemes.
