Vibration control by sliding modes for a clamped plate with piezoelectric actuator and sensor

Author

Leleu, Sylvaine ; Abou-Kandil, Hisham ; Bonnassieux, Yvan

Author_Institution

Lab. d´Electricite, Signaux et Robot. (LESiR), Ecole Normale Super. de Cachan, Cachan, France

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

438

Lastpage

443

Abstract

The global analytical modeling of a clamped plate equipped with piezoelectric sensor and actuator is developed. The vibrations of the plate are damped with a Linear Quadratic (LQ) control which exceeds the maximum voltage delivered by the piezoelectric actuator supplier, leading to a saturated imput. To deal with this problem of saturation, a sliding mode control is designed and the stability of the controlled system is examined via a Lyapunov approach.

Keywords

Lyapunov methods; control system synthesis; flexible structures; linear quadratic control; piezoelectric actuators; plates (structures); stability; variable structure systems; vibration control; LQ control; Lyapunov approach; clamped plate; controlled system stability; flexible structure; global analytical modeling; linear quadratic control; piezoelectric actuator; piezoelectric sensor; saturation problem; sliding mode control design; sliding modes; vibration control; Equations; Mathematical model; Piezoelectric actuators; Sliding mode control; Vibrations; Voltage control; Active control; piezoelectric actuator; sliding modes;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7075946