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Transfer function model of multirate feedback control systems. (English) Zbl 0997.93061

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

Software:

Kranc
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