Abstract:Most of the existing control strategies are efficient to the constant structures, which do not consider the stiffness and mass degradation before or during an earthquake. This paper takes the time-varying three-story frame structure as the controlled object, introduces the variable universe method on the basis of the traditional fuzzy control algorithm, and establishes the time-varying structure vibration control method based on the variable universe fuzzy control. By adding a scaling factor fuzzy controller to the traditional fuzzy controller, the error and error change rate of the controlled object are taken as the input, and the scaling factor is taken as the output. The fuzzy universe of the fuzzy controller is adaptively adjusted according to the error and error change rate of the controlled object. Simulink simulation results show that the proposed control method can realize adaptive adjustment of fuzzy control universe, and the control effect for displacement, velocity and acceleration of time-varying structures is superior to traditional fuzzy control and ON-OFF control algorithm, which can be used in practice.
梅品彬,李芳芳,吕杨. 基于变论域模糊控制的时变结构震动控制方法研究[J]. 振动与冲击, 2023, 42(18): 155-163.
MEI Pinbin,LI Fangfang,L Yang. Vibration control of time-varying structures based on variable universe fuzzy control. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(18): 155-163.
[1] 朱宏平,沈文爱,雷鹰,等. 结构减隔震控制系统性能监测、评估与提升[J].工程力学,2020,37(1):1-16.
ZHU Hong-ping, SHEN Wen-ai, LEI Ying, et al. Performance monitoring, evaluation, and improvement of structural vibration mitigation or isolation systems [J]. Engineering Mechanics,2020,37(01):1-16.
[2] 白荣林,杨润林,杜建霞,等. 结构变刚度/变阻尼控制若干问题的研究[J]. 建筑科学,2009,25(7): 46-51.
BAI Rong-lin, YANG Run-lin, DU Jian-xia, et al. Study on key problems in semiactive structural control by using AVS and AVD [J]. Building Science,2009,25(7):46-51.
[3] Liao G J, Gong X, Xuan S, et al. Development of a real-time tunable stiffness and damping vibration isolator based on magnetorheological elastomer[J]. Journal of Intelligent Material Systems and Structures,2012,23(1):25-33.
[4] Thompson A G. An Active Suspension with Optimal Linear State Feedback[J]. Vehicle System Dynamics, 1976, 5(4):187-203.
[5] Lal B P, Barjeev T, Hari O G. Optimal control of nonlinear inverted pendulum system using PID controller and LQR: Performance analysis without and with disturbance input[J]. International Journal of Automation and Computing, 2014, 11(6):661-670.
[6] Yu Y, Li Y, Li J. Parameter identification of a novel strain stiffening model for magnetorheological elastomer base isolator utilizing enhanced particle swarm optimization[J]. Journal of intelligent material systems and structures, 2015, 26: 2446-2462.
[7] 郭迎庆,李阳,蔡辉,等. 磁流变弹性体隔减振装置控制器的设计与试验. 实验力学,2019,34(5): 783-790.
GUO Ying-qing, LI Yang, CAI Hui, et al. Design and testing of controller for magnetorheological elastomers vibration isolation and mitigation device. Journal of Experimental Mechanics, 2019, 34(5): 783-790.
[8] 邱志成,杜佳豪.基于神经网络的多柔性梁耦合结构振动控制[J]. 信息与控制,2021,50(6):669-676.
QIU Zhi-cheng, DU Jia-hao. Vibration control of multiple flexible beams coupling structure based on neural network [J]. Information and Control, 2021, 50(6): 669-676.
[9] 马天兵,丁威海,周青,等. 基于改进滑模变结构的加筋板振动控制研究[J]. 安徽理工大学学报(自然科学版),2021,41(1):7-12.
MA Tian-bing, DING Wei-hai, ZHOU Qing, et al. Research on vibration control of stiffened plate based on improved sliding mode variable structure [J]. Journal of Anhui University of Science and Technology (Natural Science Edition), 2021, 41(1): 7-12.
[10] 石运东,韦鑫,丁阳,等. 三维隔震单层球面网壳结构频率相关变阻尼半主动控制[J]. 地震工程与工程振动,2022,42(1):143-153.
SHI Yun-dong, WEI Xin, DING Yang, et al. Semi-active control with frequency dependent variable damping for three-dimensional isolated single-layer spherical reticulated shell structure [J]. Earthquake Engineering and Engineering Vibration, 2022, 42(1): 143-153.
[11] 郭佳,葛楠. 结构振动磁流变阻尼器模态模糊控制算法研究[J]. 西安建筑科技大学学报(自然科学版),2020,52(2): 267-272.
GUO Jia, GE Nan. Research on fuzzy modal algorithm for vibration control with magnetorheological damper [J]. Journal of Xi'an University of Architecture and Technology (Natural Science Edition), 2020, 52(2): 267-272.
[12] 马驰骋,罗亚军,张希农,等. 基于模糊PID控制器的变质量-柔性梁结构振动主动控制[J]. 振动与冲击,2018,37(23) :197-203.
MA Chicheng, LUO Yajun, ZHANG Xinong, et al. Vibration active control of a flexible beam with time-varying mass based on fuzzy PID controller [J]. Journal of Vibration and Shock, 2018, 37(23):197-203.
[13] 金耀,于德介,陈中祥,等. 内分泌LQR控制策略及其主动悬架减振研究[J]. 振动与冲击,2016,35(10):49-54.
JIN Yao, YU Dejie, CHEN Zhongxiang, et al. Endocrine LQR control strategy and its application in vibration suppression by active suspensions [J]. Journal of Vibration and Shock, 2016, 35(10):49-54.
[14] 马天兵,杜菲. 基于饱和补偿控制器的壁板结构振动控制[J]. 振动与冲击,2014,33(06):86-89.
MA Tianbing, DU Fei. Vibration control of panel structure based on saturation compensator [J].Journal of Vibration and Shock, 2014, 33(06):86-89.
[15] 王文,李钢. 基于MBC的模型结构振动控制实验研究[J].振动与冲击,2012,31(04):81-85.
WANG Wen, LI Gang. Vibration control model test based on MBC method [J]. Vibration and Shock, 2012, 31(04):81-85.
[16] 王川川,赵锦成,齐晓慧. 模糊控制器设计中量化因子、比例因子的选择[J]. 四川兵工学报,2009,30(1): 61-63.
WANG Chuan-chuan, ZHAO Jin-cheng, QI Xiao-hui. Selection of Quantization Factor and Scale Factor in Fuzzy Controller Design[J]. Sichuan Journal of Ordnance Engineering, 2009, 30(1): 61-63.
[17] 李洪兴.从模糊控制的数学本质看模糊逻辑的成功-关于“关于模糊逻辑似是而非的争论”的似是而非的介入[J]. 模糊系统与数学,1995(4):1-14.
LI Hong-xing. The Success of Fuzzy Logic from the Mathematical Nature of Fuzzy Control: A Specious Intervention in the "Controversy Over the Speciousness of Fuzzy Logic"[J]. Fuzzy Systems and Mathematics, 1995(4): 1-14.
[18] 张进秋,彭虎,孙宜权,等. 磁流变减振器力学建模研究综述[J].装甲兵工程学院学报,2016,30(6): 31-38.
ZHANG Jin-qiu, PENG Hu, SUN Yiquan, et al. A review of mechanical modeling of magnetororological shock absorbers[J]. Journal of Armored Corps Engineering College, 2016, 30(6): 31-38.
[19] Gu X, Li J, Li Y. Experimental realisation of the real-time controlled smart magnetorheological elastomer seismic isolation system with shake table[J]. Structural Control and Health Monitoring, 2019, 27(1): e2476.