Optimal analysis of weight matrices of LQR algorithm for stochastic structure-AMD system based on artificial fish algorithm

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (8) : 154-158.

Wang Lei1 Tan Ping Li Sen-ping

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Abstract

In allusion to the choice of the weight matrices Q and R in LQR algorithm in the stochastic structure-AMD system under the stationary random excitation, the optimization method of the weight matrices is proposed based on the artificial fish algorithm. The method resolves the weight matrices optimization via the objective function with the weighted root mean square of the stochastic structural responses and active control force, taking into account the effect of the randomness in the structure and excitation on the control effect. The effectiveness and validity of the procedures of the optimal designs of the weight matrices is proved by a numerical example. Numerical results preliminarily show that the optimized weight matrices can effectively suppress the undesirable vibration, reduce the sensitivity of the control effectiveness to the random parameters and improve the robustness of AMD under the earthquake.

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stochastic structure / weight matrix / AMD / artificial fish algorithm

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Wang Lei1 Tan Ping Li Sen-ping. Optimal analysis of weight matrices of LQR algorithm for stochastic structure-AMD system based on artificial fish algorithm[J]. Journal of Vibration and Shock, 2016, 35(8): 154-158

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