Abstract
In this paper we consider the block decoupling problem with stability for linear time invariant systems in the general case i.e. the system transfer matrix is not supposed to be surjective. The aim of this work is twofold, first to introduce new lists of invariants called the “stable block essential structures” of the system and then to provide several equivalent characterizations of these invariants within both transfer matrix and geometric approaches.
It turns out that these invariants represent precisely the minimal infinite and the minimal unstable achievable structures for the blocks of the decoupled system through stability preserving precompensation. When the system is decouplable by static or dynamic state feedback with stability the minimal infinite and unstable achievable structures are the same as previously.
This paper is a shortened version of [19], detailed proofs as well as a worked example can be found therein.
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© 1991 Springer Science+Business Media New York
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Dion, J.M., Commault, C., Torres, J.A. (1991). Stable Block Decoupling Invariants Geometric and Transfer Matrix Characterizations. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_30
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_30
Publisher Name: Birkhäuser, Boston, MA
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