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Transfer Functions of Sampled-Data Systems in the Lifted Domain

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1 Author(s)
Mirkin, L. ; Faculty of Mechanical Engineering, Technion—IIT, Haifa 32000, Israel, E-mail: mirkin@technion.ac.il

In this paper a novel representation of transfer functions of sampled-data systems in the lifted domain is proposed. The main idea is to express these transfer functions by the STPBC (systems with two-point boundary conditions) machinery avoiding the appeal to the state space in the lifted domain. This produces a compact LTI description of sampled-data systems in which the intersample dynamics are driven solely by the open-loop dynamics of continuous-time parts of the system and discrete-time dynamics shows up through a reshaping of the boundary conditions. The proposed representation simplifies manipulations over sampled-data systems and enables one to keep track of their structure under multi-level algebraic manipulations.

Published in:

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Date of Conference:

12-15 Dec. 2005