Robust pole assignment via reflection coefficients of polynomials

  • Authors:
  • íLo Nurges

  • Affiliations:
  • Institute of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, Tallinn 12611, Estonia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

Quantified Score

Hi-index 22.14

Visualization

Abstract

A robust version of the output controller design for discrete-time systems is introduced. Instead of a single stable point a stable polytope (or simplex) is preselected in the closed-loop characteristic polynomial coefficients space. A constructive procedure for generating stable polytopes is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure is quite straightforward because for a special family of polynomials the linear cover of so-called reflection vectors is stable. The roots placement of reflection vectors is studied. If a stable target simplex is preselected then the robust output controller design task is solved by quadratic programming approach.