An Optimal Approach to Active Vibration Control of Smart Structures

A.R. Mehrabian, H. Shahi, and A. Yousefi-Koma (Iran)

Keywords

Smart structures, vibration suppression, system identification, optimal control, and genetic algorithms

Abstract

A solution to the problem of identification and control of smart structures is presented in this paper. Smart structures with build-in sensors and actuators can actively and adaptively change their physical geometry and properties. As a particular example, a representative dynamic model of a typical fighter vertical tail, identified as the smart fin, is considered. Piezoelectric patches, which are mounted on the vertical tail, are employed as actuator. The Frequency Response Function (FRF) of the smart fin is obtained from experiment. The corresponding transfer function is then derived using system identification (ID) techniques, using MATLABĀ® system identification toolbox, which is verified with the experimental data. The model obtained using system ID is then used to tune an optimal PID controller to reduce the vibration of the smart structure. Multiple objectives are considered for designing the active control system based on the frequency response of the open-loop and the closed-loop system. The multi-objective optimization problems are solved using Genetic Algorithms (GAs). The results are then studied and the best PID is chosen as the candidate for active vibration control for the smart fin. The reported results indicate that the designed optimal controller has better performance than an experimentally tuned PID controller.

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