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Structurally fixed modes in decentralised systems. Part 1: Two control stations

Structurally fixed modes in decentralised systems. Part 1: Two control stations

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By using a structural analysis based on a digraph representation, the conditions are examined for the existence of structural controllability and observability in decentralised control systems. These are related to the existence of structurally fixed modes in a system with two control stations. A generalisation to the case of N control stations is given in Part 2 of this paper.

Inspec keywords: linear systems; multivariable control systems; control system analysis; observability; controllability; directed graphs

Other keywords: decentralised systems; structural controllability; observability; linear systems; structurally fixed modes; control system analysis; digraph representation; structural analysis; multivariable control systems

Subjects: Multivariable control systems; Combinatorial mathematics; Control system analysis and synthesis methods

References

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      • C. Schizas , F.J. Evans . A graph theoretic approach to multi-variable control system design. Automatica , 371 - 377
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      • J.P. Corfmat , A.S. Morse . Decentralised control of linear multivariable systems. Automatica , 479 - 495
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      • Schizas, C.: `A graph theoretic approach for the analysis of large scale systems', February 1981, Ph.D. thesis, Queen Mary College, London, England.
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      • W.M. Wonham . (1974) Linear multivariable control, a multivariable approach, Lecture Notes in Economics and Mathematical Systems.
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Correspondence
This article has following corresponding article(s):
Structurally fixed modes in decentralised systems. Part 2: General case
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