Function space analysis of multirate sampled-data control systems

Using two different lifting techniques, this paper first proposes a function space model of multirate sampled-data systems. This time-invariant discrete time model can describe the sampled-data system in continuous time sense, and is the complete description of the multirate sampled-data systems. Based on this model, the zeros and the stability properties of the multirate sampled-data systems are discussed, The relations between the zeros of the system and the asymptotic tracking are studied, which lead to the internal model principle of the multirate sample-data systems. Copyright ((C)) 2001 IFAC.