A Matrix Technique for Robust Controller Design for Discrete-Time Time-Delayed Systems


Ergene A. F.

DELAY SYSTEMS: FROM THEORY TO NUMERICS AND APPLICATIONS, cilt.1, ss.45-56, 2014 (Diğer Kurumların Hakemli Dergileri) identifier

  • Cilt numarası: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/978-3-319-01695-5_4
  • Dergi Adı: DELAY SYSTEMS: FROM THEORY TO NUMERICS AND APPLICATIONS
  • Sayfa Sayıları: ss.45-56

Özet

A matrix method is introduced for determination of robust-stability zones of the general linear time invariant discrete-time dynamics with large delays against parametric uncertainties. The technique employs Kronecker Product and unique properties of palindrome polynomials, which are subset of self-inversive polynomials. These polynomials possess interesting features on the distribution of its zeros. The main motivation in this chapter is to develop a practical tool for determination of robust stability zones against parametric uncertainties and dominant pole assignment of systems in discrete-time domain. A sufficient condition for robust stability and dominant pole assignment is presented. The procedure for the solution is demonstrated via some example case studies.