Stabilisation of discrete-time systems via Schur stability region
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.
- Publication:
-
International Journal of Control
- Pub Date:
- July 2018
- DOI:
- 10.1080/00207179.2017.1324218
- Bibcode:
- 2018IJC....91.1620B
- Keywords:
-
- Discrete-time systems;
- Schur stability;
- affine subset;
- stability region;
- stabilisation