Brief paper: Design of linear time-invariant controllers for multirate systems

Authors:
Mauro Cimino;Prabhakar R. Pagilla
Affiliations:
School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK, 74078, USA;School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK, 74078, USA
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

In this paper we discuss a frequency domain approach to model multirate single-input single-output (SISO) systems which facilitates design of linear time-invariant (LTI) controllers operating at the fast rate. To illustrate the approach we consider a dual-rate system with slow output measurements and fast control actions. We obtain necessary and sufficient conditions for the existence of stabilizing linear time-invariant (LTI) controllers for which model matching is also achieved at the fast rate with a desired single-rate system. Moreover, a solution to the problem of parameterizing the set of such LTI controllers is also given.