Linear Model-Following Control of Discrete Two-Time-Scale Systems

This paper deals with the linear model-following control (LMFC) of a class of discrete systems which have the two-time-scale (TTS) property. It is shown that, under certain sufficient conditions, the proposed reduced-order LMFC can force the slow subsystem of the plant to follow the stable model asymptotically. Both state feedback and observer-based feedback control are considered. An example [8] is used to demonstrate the derived schemes. The design algorithms of the controllers are summarized in the conclusion.