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Stable controllers for robust stabilization of systems with infinitely many unstable poles.
- Source :
-
Systems & Control Letters . Jun2013, Vol. 62 Issue 6, p511-516. 6p. - Publication Year :
- 2013
-
Abstract
- Abstract: This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation–minimization by a unit element. Next, by the modified Nevanlinna–Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 62
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 89087121
- Full Text :
- https://doi.org/10.1016/j.sysconle.2013.02.005