Distributed optimal control of vibrations: a high frequency approximation approach

• Published in: Smart materials and structures Vol. 12; no. 3; pp. 437 - 446
• Main Authors: Kader, Mahamane, Lenczner, Michel, Mrcarica, Zeljko
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.06.2003; Institute of Physics
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; MIMO system; LQ control; Piezoelectric sensor; Circuit design; Active system; Decentralized control; Optimal control; Measurement sensor; Vibration control; High frequency; Optimal control (mathematics); Modeling
• ISSN: 0964-1726; 1361-665X
• DOI: 10.1088/0964-1726/12/3/315

This paper focuses on the design of distributed control related to distributed mechanical systems. The sensors and actuators are assumed to be numerous and periodically distributed. The problem addressed in this paper is: 'Can we find a way to approximate an optimal control law with a distributed electronic circuit for vibration reduction?'. Solutions to this problem are proposed in the framework of vibration control using piezoelectric actuators and sensors.