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

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.

author list (cited authors)

  • Cimino, M., & Pagilla, P. R.

citation count

  • 7

publication date

  • August 2010