The Design of Multi-model Adaptive Preview Controller for Piecewise Discrete-Time Systems in a Multirate Setting

摘要

In this paper, the design of multi-model adaptive preview controller for multirate systems with unknown piecewise constant coefficients is investigated. Based on the discrete lifting technique, the multirate system with unknown coefficients is transformed into a single-rate system, and corresponding augmented error system for this single-rate system with unknown coefficients is constructed by preview control theory. According to the direct multi-model adaptive control, a finite set of fixed controllers with preview compensation are derived, and by designing a switching law, an adaptive preview controller for the original systems in a multirate setting is eventually obtained.