International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007


Wednesday Afternoon

Session WA3: Computational Algorithms for Control Design


Chair: Michel Gevers - Belgium
Co-chair: Karolos Grigoriadis - United States
Room: Santiago
2007-10-17
From 13:30 to 15:30
An Efficient Approach for Integrated Design of Damping Parameters and Feedback Controller: H2 Perspective
Javad Mohammadpour; Mona Meisami-Azad; Karolos M. Grigoriadis
Contact: Javad Mohammadpour - United States
14:10-14:30
Abstract:
The paper presents an LMI-based approach for the simultaneous optimal design of the output feedback controller and damping parameters in structural systems with collocated actuators and sensors. The proposed integrated design is based on H2 norm upper bound expression for a collocated structural system. Using these upper bound results, the combined design of the damping parameters and the H2 static controller is formulated as linear matrix inequality (LMI) optimization problems with respect to the damping coefficients of the structural system and the feedback gains associated with the controller. Numerical examples motivated from engineering applications demonstrate the advantages and computational efficiency of the proposed technique for integrated structure 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 equations, associated with H2 design, are time-consuming or intractable. Copyright © 2007 IFAC.