Stabilisation of discrete-time systems via Schur stability region

Buyukkoroglu T., ÇELEBİ G., Dzhafarov V.

INTERNATIONAL JOURNAL OF CONTROL, vol.91, no.7, pp.1620-1629, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 7
  • Publication Date: 2018
  • Doi Number: 10.1080/00207179.2017.1324218
  • Journal Name: INTERNATIONAL JOURNAL OF CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1620-1629
  • Keywords: Discrete-time systems, Schur stability, affine subset, stability region, stabilisation, CONTROLLER-DESIGN, REFLECTION COEFFICIENTS, LINEAR-SYSTEMS, POLYNOMIALS
  • Anadolu University Affiliated: Yes

Abstract

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.