Integrated damping parameter and control design in structural systems for and specifications

The paper presents a linear matrix inequality (LMI)-based approach for the simultaneous optimal design of output feedback control gains and damping parameters in structural systems with collocated actuators and sensors. The proposed integrated design is based on simplified and norm upper bound calcu...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2009-05, Vol.38 (4), p.377-387
Main Authors: Mohammadpour Velni, Javad, Meisami-Azad, Mona, Grigoriadis, Karolos M.
Format: Article
Language:English
Subjects:
Actuators
Aerospace engineering
Computational Mathematics and Numerical Analysis
Control systems
Damping
Design parameters
Engineering
Engineering Design
Feedback control
Linear matrix inequalities
Matrix methods
Optimization
Output feedback
Research Paper
Specifications
Theoretical and Applied Mechanics
Upper bounds
Very large scale
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Summary:The paper presents a linear matrix inequality (LMI)-based approach for the simultaneous optimal design of output feedback control gains and damping parameters in structural systems with collocated actuators and sensors. The proposed integrated design is based on simplified and norm upper bound calculations for collocated structural systems. Using these upper bound results, the combined design of the damping parameters of the structural system and the output feedback controller to satisfy closed-loop or performance specifications is formulated as an LMI optimization problem with respect to the unknown damping coefficients and feedback gains. Numerical examples motivated from structural and aerospace engineering applications demonstrate the advantages and computational efficiency of the proposed technique for integrated structural and control design. The effectiveness of the proposed integrated design becomes apparent, especially in very large scale structural systems where the use of classical methods for solving Lyapunov and Riccati equations associated with and designs are time-consuming or intractable.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-008-0284-x