State control with LQR algorithms applied in vibration damping of cantilever beam

Author

Jarzyna, Wojciech ; Augustyniak, Marek ; Warminski, J. ; Bochenski, M.

Author_Institution

Electr. Drive Syst. & Electr. Machines Dept., Lublin Univ. of Technol. (LUT), Lublin, Poland

fYear

2012

fDate

4-6 Sept. 2012

Abstract

Composite structures with embedded active MFC (Macro Fiber Composite) actuators give new possibilities in regulation of responsible systems. Application of these structures allow to form and change mechanical characteristics. One of the main applications is vibration damping. For such application, the MFC actuators are powered by transistor converters which are controlled by DSP microcontrollers. Presented paper describes results obtained for a cantilever beam with an embedded piezoelectric MFC actuator. Operational characteristics of this composite structure are formed in closed loop control systems, because of the beam and actuator nonlinearities, linear and resonant controllers don´t give satisfactory solutions [5]. Therefore a LQR controller is applied, for which mutual test allows to estimate the influence of feedback signal delay time on damping properties and MFC supply voltage characteristics.

Keywords

beams (structures); cantilevers; closed loop systems; control nonlinearities; damping; feedback; linear quadratic control; linear systems; microcontrollers; piezoelectric actuators; vibration control; DSP microcontroller; LQR algorithm; LQR controller; actuator nonlinearities; cantilever beam; closed loop control system; composite structure; damping property; embedded active macro fiber composite actuator; embedded piezoelectric MFC actuator; feedback signal delay time; linear controller; mechanical characteristics; operational characteristics; resonant controller; responsible system regulation; state control; transistor converter; vibration damping; Actuators; Damping; Delay; Structural beams; Vibrations; Voltage control; LQR controller; MFC piezoelectric actuator; PZT; active vibration damping; delay time influence;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics and Motion Control Conference (EPE/PEMC), 2012 15th International

Conference_Location

Novi Sad

Print_ISBN

978-1-4673-1970-6

Electronic_ISBN

978-1-4673-1971-3

Type

conf

DOI

10.1109/EPEPEMC.2012.6397231

Filename

6397231