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


  • 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.

published proceedings


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