ATMD结构基于补偿器的准滑模控制  

Quasi-sliding Mode Control with Compensator for ATMD-buildings

作　　者：李志军[1,2] 邓子辰[3] 顾致平[2] 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]西安工业大学建筑工程学院,西安710032 [3]西北工业大学工程力学系,西安710072

出　　处：《振动．测试与诊断》2012年第6期909-914,1033,共6页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:10632030;51178388;10972168);陕西省教育厅专项科研计划资助项目(编号:09JK485);西安工业大学校长基金重点资助项目(编号:XAGDXJJ0919)

摘　　要：针对主动调谐质量阻尼器(active tuned mass damper,简称ATMD)控制系统用于结构振动控制工程中存在主动控制力偏大、控制系统鲁棒性较差的不足,基于线性二次型最优控制理论,设计了一种带有补偿器的滑模控制算法来计算ATMD系统的主动控制力。为了避免控制系统过大的颤振,提出一种含有饱和函数的指数趋近律,并且给出了相应准滑模控制器的设计方法。鉴于实际中会产生外部能量有限问题,引入了相应的饱和控制器。以一个单自由度结构模型为例进行了相应的数值分析,与相应的未含补偿器的指数趋近律方法设计的ATMD控制系统以及AMD和TMD控制系统的控制效果进行了对比。仿真结果表明,所提方法在保证控制系统较好鲁棒性和较小颤振的前提下,具有较好的控振效果。Active tuned mass damper(ATMD) control systems for building structures have attracted considerable attention in recent years.This paper emphasizes on the combined application of the quasi-sliding mode control theory and the compensators theory to design and optimize the different parameters of the ATMD control scheme for getting the best results in the reduction of the building response under earthquake excitations.According to the linear quadratic optimal control theory,this paper designs a fixed-order compensator to make trade-offs between control efforts and specific response quantities of the structure.Existing sliding mode control method via exponential reaching law suffers,in our opinion,has the shortcoming that it is almost very difficult to avoid excessive flutter effect.Therefore the quasi-sliding mode control law involving saturation function is proposed.Considering the actuators are always of limited capacity in practice,this paper designs the saturated control law to be used when the needed control force exceeds the maximum control force of an actuator.Finally numerical simulations are given for SDOF(Single-Degree-of-Freedom) shear building model with ATMD.The simulation results obtained from the proposed control scheme are compared with those obtained from ATMD system excluding the compensator,active mass damper(AMD) system and the tuned mass damper(TMD) system.From the simulation results,it is demonstrated that the performance of quasi-sliding mode controller is remarkable,and the robustness of the control approach is also approved. Therefore,the newcontrol method is quite promising for practical implementations of active control systems on seismically excited linear structures.

关 键 词：补偿器 颤振 鲁棒性 饱和函数 准滑模控制 ATMD结构 

分 类 号：TU311.4[建筑科学—结构工程] O328[理学—一般力学与力学基础]