汽车主动悬架H_2/H_∞多目标控制线性矩阵不等式方法  

Multi-objective and H_2/H_∞ control of vehicle active suspension based on LMI

作　　者：李以农[1,2] 郑玲[1] 罗铭刚[1] 米林[2] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]重庆理工大学汽车零部件制造及检测技术教育部重点实验室,重庆400050

出　　处：《重庆大学学报（自然科学版）》2010年第4期1-8,共8页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(50875270);教育部重点实验室开放基金资助项目(2009KLMT05);重庆市科技项目(CSTC;2008BA6025;CSTC;2008AC6097)

摘　　要：采用七自由度整车模型,以实现较好的平顺性和操纵稳定性为目标,选取路面垂直速度扰动到输出平顺性评价信号传递函数的H2范数为平顺性指标,路面垂直速度扰动到输出操纵稳定性评价信号传递函数的H∞范数为操纵稳定性指标,设计了基于LMI(linear matrix inequality线性矩阵不等式)算法的主动悬架H2/H∞多目标输出反馈控制器。研究结果表明,该控制器能在有效改善汽车的平顺性的同时不过分降低操纵稳定性,较好地解决了平顺性与操纵稳定性指标之间的矛盾。A multi-objective and mixed H2/H∞ controller based on LMI（linear matrix inequality） is developed to balance ride comfort and handling stability performance of vehicle.The multi-objective optimal control law is devised for an active suspension system of seven degree-of-freedom full-car model.Norm H2 of the transfer function from road profile velocity disturbance to output evaluating signal is selected as the evaluating index of ride comfort performance,and norm H∞ of the transfer function from road profile velocity disturbance to output evaluating signal is selected as the evaluating index of handing stability performance.The results from the simulation demonstrate that the controller obtains a good performance of ride comfort with the less expense of the handling stability.

关 键 词：汽车悬架 平顺性 操纵性 线性矩阵不等式 多目标优化 

分 类 号：O231.2[理学—运筹学与控制论] U463[理学—数学]