A Scalable Robust Stability Criterion for Systems With Heterogeneous LTI Components

A scalable robust stability criterion for interconnected systems with heterogeneous linear time-invariant components is presented in this paper. The criterion involves only the properties of individual components and the spectrum of the interconnection matrix, which can be verified with relatively l...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2010-10, Vol.55 (10), p.2219-2234
Main Authors: Jonsson, Ulf T., Kao, Chung-Yao
Format: Article
Language:English
Subjects:
Applied mathematics
Applied sciences
Automatic control
Computation
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Councils
Criteria
Eigenvalues and eigenfunctions
Exact sciences and technology
Frequency conversion
Interconnected systems
Interconnection
MATEMATIK
MATHEMATICS
Networks
Nyquist criterion
Optimeringslära, systemteori
Optimization, systems theory
Postal services
Robust control
Robust stability
Scalability
Stability
Stability criteria
Tillämpad matematik
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Summary:A scalable robust stability criterion for interconnected systems with heterogeneous linear time-invariant components is presented in this paper. The criterion involves only the properties of individual components and the spectrum of the interconnection matrix, which can be verified with relatively low computational effort, and more importantly maintains scalability of the analysis. Our main result shows that if the components are single-input-single-output (SISO), then the criterion has an appealing graphical interpretation which resembles the classical Nyquist criterion.
ISSN:0018-9286
1558-2523
1558-2523
DOI:10.1109/TAC.2010.2043291