Stabilisation of discrete-time systems via Schur stability region


Buyukkoroglu T., Celebi G., Dzhafarov V.

INTERNATIONAL JOURNAL OF CONTROL, cilt.91, sa.7, ss.1620-1629, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 7
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00207179.2017.1324218
  • Dergi Adı: INTERNATIONAL JOURNAL OF CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1620-1629
  • Anahtar Kelimeler: Discrete-time systems, Schur stability, affine subset, stability region, stabilisation, CONTROLLER-DESIGN, REFLECTION COEFFICIENTS, LINEAR-SYSTEMS, POLYNOMIALS
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we consider the stabilisation problem of discrete-time systems by affine compensator. Using the known properties of the Schur stability region of monic polynomials, we give conditions under which stabilising controllers exist. A necessary and sufficient condition is obtained when the difference of the order of the system and the number of stabilising parameters is one. In the general case, two solution algorithms: division-elimination and least-square minimisation algorithms are suggested.