Radiated sound control from a smart cylinder subjected to piezoelectric uncertainties based on sliding mode technique using self-adjusting boundary layer

Abstract

This approach employs a robust controller on the basis of sliding mode control to propose a novel strategy nominated as self-adjusting boundary layer in order to prevent occurrence of chattering phenomenon. Since the boundary layers and the controller parameters are adjusted just for the special conditions, it is possible that the system losses its desirable performance and leads to this event. In order to better understand the applied procedure, in addition to classification of the paper in two sections, a closed loop block diagram for a system equipped with sliding mode controller is configured, in detail. Therefore, in the first step, on the basis of considering sliding mode control technique, a robust controller is designed in order to control the radiated noise from an intelligent cylinder. In fact, this procedure is employed to extend the offered new strategy. To cover this issue, a series of formulations are developed. Accordingly, the vibration equations of the construction subjected to piezoelectric patches are derived and discretized according to Rayleigh-Ritz procedure. Additionally, by the aid of using the effective control signal for each mode and extracting uncertainties of the system, the robust control signals for uncertainties in sensor and actuator are determined. The results prove that the considered methodology either suppresses the noise transmitted or keeps the system consistency. Moreover, it establishes a compromise between error and chattering that preserves the stability and admissible performance of the system in a wide range of disturbances and uncertainties. As another consequence, this study also develops a new approach to show the effect of using controller on the acoustic pressures at various coordinates taking account self-adjusting boundary layer.