Stabilization of fixed modes in expansions of LTI systems

The objective of this note is to propose a method for stabilization of structurally fixed modes in expansions of LTI dynamic systems in the scope of overlapping decentralized control design based on the expansion/contraction framework, enabling successful design for a broader class of problems than...

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Bibliographic Details
Published in:Systems & control letters 2008-04, Vol.57 (4), p.365-370
Main Authors: STANKOVIC, Srdjan S, SILJAK, Dragoslav D
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Controller contractibility
Decentralized overlapping control
Exact sciences and technology
Expansions of LTI systems
Inclusion principle
Stabilization
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Summary:The objective of this note is to propose a method for stabilization of structurally fixed modes in expansions of LTI dynamic systems in the scope of overlapping decentralized control design based on the expansion/contraction framework, enabling successful design for a broader class of problems than considered so far. The method is based on a judicious choice of complementary matrices in the expanded space. Numerical examples are provided to illustrate simplicity and efficiency of the proposed approach.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2007.10.001