Xiao, Jian; Tang, Lei Transfer function model of multirate feedback control systems. (English) Zbl 0997.93061 J. Southwest Jiaotong Univ., Engl. Ed. 9, No. 1, 1-7 (2001). The authors consider linear continuous-time multivariable systems with multirate digital controllers and with reference and output signals sampled by multirate zero-order holds. It is assumed that all sampling rates are integer multiples (\(T_i=q_iT\)) of a base-rate sampling period (\(T\)) and are all synchronized at the frame period (i.e. \(T=qT_0\) with \(n\) being the least common multiple of all \(n_i\)). Decomposing the samplers into a series of synchronized samplers with time-advance and time-delay elements allows the formulation of a transfer function model (\(z\)-transform) of the sampled system in terms of the original model parameters using the multivariable version of the Kranc operator and appropriate matrix operations. Reviewer: Inge Troch (Wien) MSC: 93C57 Sampled-data control/observation systems 93B17 Transformations Keywords:sampled data systems; multivariable systems; multirate digital controllers Software:Kranc PDFBibTeX XMLCite \textit{J. Xiao} and \textit{L. Tang}, J. Southwest Jiaotong Univ., Engl. Ed. 9, No. 1, 1--7 (2001; Zbl 0997.93061)