Least squares support vector machine based time-delay control algorithm for reducing seismic responses of structures

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (9) : 165-172.

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Least squares support vector machine based time-delay control algorithm for reducing seismic responses of structures

ZHAO De-qi 1，LI Chun-xiang 1，LAN Sheng-ning 2

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Abstract

Existence of the time-delay always lowers control effects of control systems, results in worse control performance and even causes the system instability. Reducing the influence of the time delay on the performance of the control system and enhancing the system stability have thus very important significances. Through integrating the least squares support vector machine (LSSVM) and the Linear Quadratic Regulator (LQR)，a new intelligent control algorithm, referred to as the time-delay LSSVM-LQR, is proposed in this paper. This algorithm includes the following four steps. Firstly, acquire the state-space response data of the structure; secondly, use the LQR algorithm to calculate the optimal control forces; thirdly, put the force data to LSSVM for training and then give the prediction of the optimal forces after time-delay; finally, for the actuators to provide the control on the structure. Based on MATLAB，a program is compiled. Subsequently, the LSSVM algorithm is verified by using a 3-storey frame structure. The results show that the LSSVM algorithm can effectively reduce the adverse impact of time-delay for the control system of structures.

Key words

Vibration control / Active control / Time-delay / Least squares support vector machine (LSSVM) / Linear quadratic regulator (LQR) / Earthquakes

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ZHAO De-qi;LI Chun-xiang;LAN Sheng-ning . Least squares support vector machine based time-delay control algorithm for reducing seismic responses of structures[J]. Journal of Vibration and Shock, 2013, 32(9): 165-172