Active vibration suppression of smart cantilever beam with sliding mode observer using two piezoelectric patches

Abstract EN

This paper presents a vibration suppression control patch was used as an actuator element, while the other was used as a sensor.

The controller design was designed via the balance realization reduction method to elect the reduced order model that is most controllable and observable.

sliding mode observer was designed to estimate six states from the reduced order model but three states are only used in the control law.

Estimating a number of states larger than that used is in order to increase the estimation accuracy.

Moreover, the state estimation error is proved bounde states with the sliding mode observer, to elements.

The control spillover problem was avoided, by deriving an avoi stability for the proposed vibration control design.

attenuation ability of the proposed optimal control.

For 15 mm initial tip able to reduce the tip displacement to about 0.1 experimental results showed a good performance of the proposed LQR control law and the sliding mode obser well a good agreement with theoretical results.