Experimental implementation of extended multivariable PPF control on an active structure

Author

Moheimani, S. O Reza ; Vautier, Benjamin J G ; Bhikkaji, Bharath

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, NSW, Australia

Volume

14

Issue

3

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

443

Lastpage

455

Abstract

This paper reports experimental implementation of an extended positive position feedback (PPF) controller on an active structure consisting of a cantilevered beam with bonded collocated piezoelectric actuators and sensors. Stability conditions for PPF control are rederived to allow for a feed-through term in the model of the structure. This feed-through term is needed to ensure that the system´s in-bandwidth zeros are captured with reasonable accuracy. The set of stabilizing PPF controllers is shown to be a convex set characterized by a set of linear matrix inequalities. A number of multivariable PPF controllers are designed and successfully implemented on the structure.

Keywords

beams (structures); cantilevers; control system synthesis; feedback; linear matrix inequalities; multivariable control systems; piezoelectric actuators; position control; stability; active structure; bonded collocated piezoelectric actuators; cantilevered beam; extended multivariable positive position feedback control; feed through term; linear matrix inequalities; piezoelectric sensors; stability; Bonding; Control systems; Distributed parameter systems; Feedback; Flexible structures; Piezoelectric actuators; Sensor phenomena and characterization; Stability; Structural beams; Transfer functions; Flexible structures; multivariable systems; piezoelectric transducers; positive position feedback (PPF); vibration control;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2006.872532

Filename

1624468