Variable Universe Fuzzy Control of 3-DOF Semi-active Seat Suspension System using Magnetorheological Damper
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摘要: 对座椅悬架系统用磁流变阻尼器进行阻尼特性试验,利用最小二乘法对双曲正切模型进行参数辨识。结合座椅悬架系统的动力学特性,建立三自由度半主动座椅悬架系统模型。针对采用传统模糊控制精度不高的问题,提出一种基于模糊推理的变论域模糊控制策略。以脉冲路面激励和随机路面激励为输入,分别对被动悬架、传统模糊控制半主动悬架系统及变论域模糊控制半主动悬架系统进行动力学仿真分析。仿真结果表明:采用最小二乘法辨识出的参数模型可满足后续计算。所设计的变论域模糊控制策略减振效果明显优于传统模糊控制,能有效隔离路面冲击干扰,使得座椅悬架系统的综合性能得到明显改善。Abstract: The damping characteristics of magnetorheological damper used for the seat suspension system were tested, and the parameters of hyperbolic tangent model were identified with least square method. The 3-DOF model of semi-active seat suspension system was established by combining with the dynamic characteristic of seat suspension. Aiming at the problem of low precision of traditional fuzzy control, a variable universe fuzzy control based on the fuzzy reasoning was proposed. Taking the random road response and impulse road response as input excitations, the simulation analysis of the control effects of passive suspension system, traditional fuzzy control semi-active suspension system and variable universe fuzzy control semi-active suspension system were carried out, respectively. The results show that the parameters and the model identified with least square method can satisfy the subsequent calculation. And the vibration reduction effects of the variable universe fuzzy control strategy are obviously better than that of traditional fuzzy control, which can effectively isolate the impacts interference of the road surface and improve the comprehensive performance of the seat suspension system.
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表 1 双曲正切模型参数辨识结果
电流/A α β δ c k f0 0 67.89 0.310 7 1.637 2 0.58 1.67 -6.30 0.25 249.2 0.310 7 1.637 2 1.49 1.69 -6.71 0.5 430.6 0.310 7 1.637 2 2.39 1.71 -7.12 0.75 611.9 0.310 7 1.637 2 3.31 1.73 -7.53 1 793.4 0.310 7 1.637 2 4.21 1.75 -7.93 1.25 974.8 0.310 7 1.637 2 5.12 1.77 -8.34 表 2 三自由度半主动座椅悬架系统相关参数
参数 数值 ms 80 kg mv 400 kg mt 40 kg ks 8 000 N/m kv 15 800 N/m kt 158 000 N/m cs 250 N·s/m cv 1 500 N·s/m 表 3 控制电流I模糊规则表
I EC NB NM NS ZE PS PM PB E NB L ML M S S SL ML NM SL S SM ZE SM M SL NS M SM ZE SM SM S M ZE S SM SM ZE ZE SM S PS SM SM ZE SM ZE S M PM SL M S S M SL ML PB L ML SL M M SL L 表 4 伸缩因子α1(x1)模糊规则表
α1(x1) EC NB NM NS ZE PS PM PB E NB L L M S M L L NM L M S S S M L NS M M S ZE ZE M M ZE M S ZE ZE ZE S M PS M M S ZE S M M PM L M S S S M L PB L L M S M L L 表 5 伸缩因子α2(x2)模糊规则表
α2(x2) EC NB NM NS ZE PS PM PB E NB L L M M M L L NM L L S S S L L NS M M S ZE ZE M M ZE M S ZE ZE ZE S M PS M M S ZE S M M PM L B S S S L L PB L B M M M L L 表 6 伸缩因子β(y)模糊规则表
β(y) EC NB NM NS ZE PS PM PB E NB L M S ZE S M L NM L L M S M L L NS L M S S S M L ZE M M S ZE ZE M M PS M S ZE ZE ZE S M PM M M S ZE S M M PB L M S S S M L 表 7 脉冲路面座椅悬架性能评价指标响应峰值
控制类型 座椅加速度/(m·s-2) 悬架动行程/mm 被动座椅悬架 5.194 0 60.8 传统模糊控制 4.299 6 36.9 变论域模糊控制 3.466 7 29.5 表 8 随机路面座椅悬架性能评价指标均方根值
控制类型 座椅加速度/(m·s-2) 悬架动行程/mm 被动座椅悬架 0.424 3 3.5 传统模糊控制 0.360 5 2.3 变论域模糊控制 0.298 7 1.9 -
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