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

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.

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