Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2