Optimal Piezoelectric sensor/actuator placement of cable net structures using H 2 -norm measures

Abstract

Active vibration control of cable net structures is becoming significant when large-size cable net structures are widely applied in various engineering fields, especially in satellite antennas. The placement of actuators and sensors will have a major influence on the control efficiency. This paper develops an H ₂-norm strategy for the optimal placement of sensors/actuators in controlled flexible cable net structures with active cables constructed by incorporating piezoelectric actuator into flexible cables. The dynamic model of cable net structures with active cables is established using a finite-element method. The optimization indexes for actuator and sensor locations are unified to an H ₂-norm of the closed-loop transfer matrix from the disturbance to the controlled output. A genetic algorithm is used to solve the resulting nonlinear optimization problem. The numerical examples of the flexible cable net structure widely applied to the parabolic reflectors of space antennas have been analyzed, and the results show that the proposed computational scheme is effectiveness for the optimal sensors/actuator placement problem of cable net structures with active cables.

Keywords

Optimal sensor/actuator placement cable net structure piezoelectric actuator genetic algorithm

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