Squaring down and the problems of almost zeros for continuous-time systems

In this paper we construct precompensators which square down a system such that the resulting square system has the same unstable zeros and system gains. We derive the minimal gain of the precompensator to achieve such a square system. If the gain of this precompensator is too large then we derive a...

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Bibliographic Details
Published in:Systems & control letters 1994-11, Vol.23 (5), p.381-388
Main Authors: Stoorvogel, A.A., Ludlage, J.H.A.
Format: Article
Language:English
Subjects:
almost-zeros
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Nehari approximation
squaring down
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Summary:In this paper we construct precompensators which square down a system such that the resulting square system has the same unstable zeros and system gains. We derive the minimal gain of the precompensator to achieve such a square system. If the gain of this precompensator is too large then we derive an explicit trade-off between the gain of the precompensator and the number of unstable zeros we allow the precompensator to introduce in the system.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(94)90072-8