Conditions for the ripple-free response of multirate systems using linear time-invariant controllers Academic Article

abstract

• In this work, necessary and sufficient conditions are derived for multirate systems using linear time-invariant (LTI) controllers to guarantee a ripple-free response to step reference signals. These conditions correspond to constraints on the coefficients of a finite impulse response pre-filter. The analysis is facilitated by the use of the lifting technique, the modified Z-transform, and up-sampling and down-sampling operators. Several examples of feasible filters are provided to show the existence of multiple solutions to the considered problem. 2010 Elsevier B.V. All rights reserved.

authors

• Pagilla, Prabhakar

published proceedings

• SYSTEMS & CONTROL LETTERS

author list (cited authors)

• Cimino, M., & Pagilla, P. R.

citation count

• 7

complete list of authors

• Cimino, Mauro||Pagilla, Prabhakar R

publication date

• August 2010

publisher

• Elsevier  Publisher

published in

• Systems and Control Letters  Journal

keywords

• Linear Time-invariant Controllers
• Multirate Systems
• Ripple-free Response

Digital Object Identifier (DOI)

• 10.1016/j.sysconle.2010.06.013

start page

• 510

end page

• 516

volume

• 59

issue

• 8

URL

• http://dx.doi.org/10.1016/j.sysconle.2010.06.013