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基于信赖域方法的MR阻尼器瞬时最优半主动控制
Trust-region Method Based Instantaneous Optimal Semi-active Control for MR Dampers
【Author】 Li Zhongxian~1 Lin Wei~1 Ni Yiqing~2 (1.Tianjin University,Tianjin 300072,China;2.The Hong Kong Polytechnic University,Hong Kong,China)
【机构】 天津大学建筑工程学院; 香港理工大学土木与结构工程系;
【摘要】 本文提出了一种基于信赖域方法的磁流变(MR)阻尼器瞬时最优半主动控制算法。该控制算法不以主动最优控制力为目标出力,而是从MR阻尼器的性能出发,提出了MR阻尼器瞬时最优半主动控制的指标函数;同时将下一时刻阻尼器的可能出力范围作为半主动控制问题的限界约束条件,应用精细积分法将MR阻尼器半主动控制问题转化为一组带有限界约束的最小值优化问题;最后采用信赖域方法在限界约束内求解得到半主动最优控制力。数值仿真了受El Centro波地震激励的典型三层框架结构在无控状态以及分别采用传统Clipped-optimal半主动控制算法和本文提出的瞬时最优半主动控制算法的受控状态下的地震反应。利用dSPACE平台对一个悬臂梁进行了随机振动下的MR阻尼器控制试验。数值仿真和实验结果证明了本文提出的基于信赖域方法的瞬时最优半主动控制算法的有效性,与传统Clipped-optimal半主动控制算法的控制效果相比较,本文算法在多个阻尼器情况下的控制效果更具优越性,将更适于大型复杂结构的半主动控制。
【Abstract】 A trust-region based instantaneous optimal m-active control algorithm for magnetorheological (MR) dampers is proposed in this paper.Rather than taking the active optimal control force as the target control force,the proposed control algorithm sets up an instantaneous performance index for semi-active control system.In terms of the characteristics of MR dampers,the maximum and minimum control forces for the next time step are obtained from MR damper forward model and considered as constraints for the semi-active control system.Then,by the application of precise integration method,the semi-active control problem is described as a typical single target optimization problem subjected to a bound constraint.Trust-region method is then applied to find the optimal semi-active control force within the bound constraint at each time step.Numerical simulation is conducted on a typical three-story frame subjected to excitations of El Centro wave.During simulation,the responses of uncontrolled structure,structure with Clipped-optimal controller and structure with the proposed controller are calculated and compared.Control experiment is conducted through dSPACE control platform.The results show the effectiveness of the proposed control algorithm and its superiority under multi-dampers situation.Thus the proposed control algorithm will be more suitable to the semi-active control problem of complex structure.
【Key words】 instantaneous optimal control; semi-active control; trust-region; precise integration method; magnetorheological(MR) damper; experimental study;
- 【会议录名称】 防振减灾工程理论与实践新进展(纪念汶川地震一周年)——第四届全国防震减灾工程学术研讨会会议论文集
- 【会议名称】第四届全国防震减灾工程学术研讨会
- 【会议时间】2009-05
- 【会议地点】中国福建福州
- 【分类号】TU352.11
- 【主办单位】中国土木工程学会、中国工程院土木水利与建筑工程学部、中国土木工程学会防震减灾工程技术推广委员会、福建省土木建筑学会