Robust LSSVM-LQR based time-delay intelligent control algorithm for reducing seismic responses of structures
Aiming at the stability problem of the LSSVM-LQR intelligent control algorithm for reducing seismic responses of structures, a stability controlling algorithm is proposed to ensure that the LSSVM-LQR intelligent control algorithm has good robustness. The main idea of this algorithm is that the limit condition of control forces is imposed on the LSSVM-LQR intelligent control algorithm. If the limit condition of control forces is fulfilled, the control procedure continues to run. However, if the limit condition of control forces is not fulfilled, the control procedure automatically jumps out and then, executes the stability control algorithm, referred also to as the stable/robust LSSVM-LQR intelligent control algorithm, which ensures the stability of the system mainly through controlling actuator operation with resorting to adjusting feedback. The numerical results show that the developed stability controlling algorithm can effectively guarantee the stability/robustness of LSSVM-LQR intelligent control algorithm. The time-delay LSSVM-LQR intelligent control algorithm and stability/robust time-delay LSSVM-LQR intelligent control algorithm add each other in action.
Department of Civil Engineering,Shanghai University,Shanghai 200072
Aiming at the stability problem of the LSSVM-LQR intelligent control algorithm for reducing seismic responses of structures, a stability controlling algorithm is proposed to ensure that the LSSVM-LQR intelligent control algorithm has good robustness. The main idea of this algorithm is that the limit condition of control forces is imposed on the LSSVM-LQR intelligent control algorithm. If the limit condition of control forces is fulfilled, the control procedure continues to run. However, if the limit condition of control forces is not fulfilled, the control procedure automatically jumps out and then, executes the stability control algorithm, referred also to as the stable/robust LSSVM-LQR intelligent control algorithm, which ensures the stability of the system mainly through controlling actuator operation with resorting to adjusting feedback. The numerical results show that the developed stability controlling algorithm can effectively guarantee the stability/robustness of LSSVM-LQR intelligent control algorithm. The time-delay LSSVM-LQR intelligent control algorithm and stability/robust time-delay LSSVM-LQR intelligent control algorithm add each other in action.
李春祥1 赵德奇2 蓝声宁1. 结构减震的稳定时滞LSSVM-LQR智能控制算法[J]. 振动与冲击, 2015, 34(7): 109-114.
Li Chunxiang1 Zhao Deqi2 Lan Shengning1. Robust LSSVM-LQR based time-delay intelligent control algorithm for reducing seismic responses of structures. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(7): 109-114.
1. Hammarstrom L G. and Gros K S. Adaptation of optimal control theory to systems with time delay [J]. International Journal of Control, 1980, 32(2): 329-357.
2. Chi-Chang Lin, Chang-Ching Chang and Huang-Lin Chen. Optimal H infinite Output Feedback Control Systems with Time Delay [J]. Journal of Engineering Mechanics, 2006,132 (10): 1096-1105.
3. 蔡国平,黄金枝. 控制存在时滞的线性系统主动控制的滑移模态方法[J]. 力学季刊,2002,23(2): 164-172.
Cai Guoping, Huang Jinzhi. Sliding-mode control method for linear systems with time-delay in control. Chinese Quarterly of Mechanics, 2002,23(2): 164-172.
4. 潘颖,王超,蔡国平. 线性时滞系统的离散最优控制[J]. 计算力学学报,2004,21(2): 177-184.
Pan Ying, Wang Chao, Cai Guoping. Discrete-time optimal control method for linear time-delay systems. Chinese Journal of Computational Mechanics,2004,21(2): 177-184.
5. Chung L L, Lin R C, Soong T T and Reinhorn A M. Experimental study of active control for MDOF seismic structures [J]. Journal of Engineering Mechanics, 1989, 115(8): 1609-1627.
6. 代晶辉,刘军龙,张春巍,欧进萍. 部分状态反馈的主动利用时滞补偿方法[J] 振动工程学报. 2011,24(3):246-252.
Dai Jinghui, Liu Junlong, Zhang Chunwei, Ou Jinping. Time delay compensation method based on partial state feedback and active increasing time delays. Journal of Vibration Engineering, 2011,24(3):246-252.
7. 刘军龙,代晶辉,张春巍,李芦钰,欧进萍,郝磊. 基于位移反馈控制的主动增加时滞补偿方法及其试验验证[J]. 振动与冲击, 2011,30(6):185-191.
Liu Junlong, Dai Jinghui, Zhang Chunwei, Li Luyu, Ou Jinping, Hao Lei. Time delay compensation method based on displacement feedback and active increasing of time delay and its experiment verification. Journal of Vibration and Shock, 2011, 30(6): 185-191.
8. Abdel-Rohman M. Time-delay effects on active damped structures[J]. Journal of Engineering Mechanics, 1987, 113(11): 1709-1719.
9. 赵德奇,李春祥,蓝声宁. 基于最小二乘支持向量机的结构地震响应时滞控制算法[J]. 振动与冲击,2013, 32(9): 165-172.
Zhao Deqi, Li Chunxiang, Lan Shengning. 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.