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A Sufficient Condition for Simultaneous Stabilization

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Blondel, Vincent [UCL] Campion, Guy [UCL] Gevers, Michel [UCL]

In this note, we study the following problem, ''Under what condition(s) is it possible to find a single controller which stabilizes k single-input single-output linear time-invariant systems p(i)(s) (i = 1, ..., k)?''. We introduce the concept of avoidance in the complex plane and use it to derive a sufficient condition for k systems to be simultaneously stabilizable. A method for constructing a simultaneous stabilizing controller is also provided and illustrated by an example.

Document type Article de périodique (Journal article)
Publication date 1993
Language Anglais
Journal information "IEEE Transactions on Automatic Control" - Vol. 38, no. 8, p. 1264-1266 (1993)
Peer reviewed yes
Publisher Ieee-inst Electrical Electronics Engineers Inc (New York)
issn 0018-9286
e-issn 1558-2523
Publication status Publié
Affiliation UCL
Links
Bibliographic reference Blondel, Vincent ; Campion, Guy ; Gevers, Michel. A Sufficient Condition for Simultaneous Stabilization. In: IEEE Transactions on Automatic Control, Vol. 38, no. 8, p. 1264-1266 (1993)
Permanent URL http://hdl.handle.net/2078.1/49547