Optimal Vibration Control and Actuator Placement for Intelligent Truss Structures

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (5) : 26-32.

The optimal vibration control and actuator placement for intelligent truss structures is investigated. Firstly, the mech-electric coupling dynamic formulation of piezoelectric intelligent truss structures based on the Hamilton principle is presented. The mathematical model of vibration control for truss structures is derived using Linear Quadratic Gauss optimal control theory. The input of optimal control is determined by minimizing performance function and solving Riccati algebraic equation. Then, the performance criterion unrelated to initial state is obtained through correcting the performance criterion of optimal control. The optimization of actuator position is performed using simulated annealing algorithm so as to minimize the corrected performance criterion. Finally, a numerical example of vibration control for spatial intelligent truss structure is given to verify the modeling process and optimization algorithm. Simulations results indicate that the suppression effect of vibration is obvious and the vibration responses decrease quickly by optimal vibration control. The optimal position of actuators can be determined by using simulated annealing algorithm.

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Abstract

The optimal vibration control and actuator placement for intelligent truss structures is investigated. Firstly, the mech-electric coupling dynamic formulation of piezoelectric intelligent truss structures based on the Hamilton principle is presented. The mathematical model of vibration control for truss structures is derived using Linear Quadratic Gauss optimal control theory. The input of optimal control is determined by minimizing performance function and solving Riccati algebraic equation. Then, the performance criterion unrelated to initial state is obtained through correcting the performance criterion of optimal control. The optimization of actuator position is performed using simulated annealing algorithm so as to minimize the corrected performance criterion. Finally, a numerical example of vibration control for spatial intelligent truss structure is given to verify the modeling process and optimization algorithm. Simulations results indicate that the suppression effect of vibration is obvious and the vibration responses decrease quickly by optimal vibration control. The optimal position of actuators can be determined by using simulated annealing algorithm.

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Intelligent Truss / Hamilton theory / vibration control / simulated annealing

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CAO Yu-Yan, WANG Zhi-Chen, FU Shi-Xin,WU Qing-Lin. Optimal Vibration Control and Actuator Placement for Intelligent Truss Structures[J]. Journal of Vibration and Shock, 2015, 34(5): 26-32

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