Control design for large-scale Lur’e systems with arbitrary information structure constraints

In this paper, an LMI-based approach is proposed for the design of static output feedback for multi-nonlinear Lur’e–Postnikov systems. The resulting control laws ensure absolute stability and, at the same time, maximize the size of the nonlinear sectors. The proposed method is computationally effici...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-10, Vol.217 (3), p.1277-1286
Main Authors: Zečević, A.I., Cheng, E., Šiljak, D.D.
Format: Article
Language:English
Subjects:
Combinatorics
Combinatorics. Ordered structures
Computational efficiency
Control systems
Design engineering
Designs and configurations
Exact sciences and technology
Information structure constraints
Large-scale systems
Laws
Linear matrix inequalities
Lur’e systems
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Output feedback
Sciences and techniques of general use
Stability
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Summary:In this paper, an LMI-based approach is proposed for the design of static output feedback for multi-nonlinear Lur’e–Postnikov systems. The resulting control laws ensure absolute stability and, at the same time, maximize the size of the nonlinear sectors. The proposed method is computationally efficient, and can accommodate feedback laws with arbitrary information structure constraints. The effectiveness of this approach is demonstrated on a large-scale example with 100 state variables.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.01.119