ABSTRACT
In active vibration control, placement of actuators/sensors plays a very important role along with the selected controller in attenuating vibration of the flexible structure under given operating condition. In this chapter, cantilever beam is considered as a system for study. An objective function is formulated based on strain equation of the cantilever beam, and it is solved using a genetic algorithm to choose the best location to place multiple actuator/sensor pairs. Maximum strain location is regarded as the ideal deployment location for multimode vibration control. For modal analysis, ANSYS is used, and the top 10 eigenvalues and eigenvectors are extracted. The state-space approach is used to construct the mathematical modeling in MATLAB. For the analyzed multi-input system, Linear Quadratic Regulator (LQR), Linear, Quadratic, Gaussian (LQG), and H-∞ controllers are designed with state feedback and output feedback laws. Their control effectiveness at determined optimal locations is studied, and the simulation results are compared.
