Fast calculation of all stabilizing gains for discrete-time systems


BAYHAN N. , Söylemez M. T.

Istanbul University - Journal of Electrical and Electronics Engineering, cilt.6, sa.1, ss.19-26, 2006 (SCI Expanded İndekslerine Giren Dergi) identifier

  • Cilt numarası: 6 Konu: 1
  • Basım Tarihi: 2006
  • Dergi Adı: Istanbul University - Journal of Electrical and Electronics Engineering
  • Sayfa Sayıları: ss.19-26

Özet

In this paper, two methods for calculating all stabilizing gains for discrete-time systems are given. The first method focuses on converting the problem using a bilinear transformation and then applying a previously developed theorem for continuous time systems. Unlike previous results, the method introduced here does not use the Generalised Hermite-Biehler Theorem and therefore provides a computational advantage. The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem.