Shen Yujie, Qiu Dongdong, Xu Haolun, Liu Yanling, Sun Kecheng, Yang Xiaofeng, Guo Yan
Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China.
BYD Auto Industry Co., Ltd., Shenzhen 518118, China.
Sensors (Basel). 2025 Jul 8;25(14):4255. doi: 10.3390/s25144255.
To address the challenge of physically realizing fractional-order electrical networks, this study proposes an implementation method for a mechatronic inerter-spring-damper (ISD) suspension based on a fractional-order biquadratic transfer function. Building upon a previously established model of a mechatronic ISD suspension, the influence of parameter perturbations on the suspension's dynamic performance characteristics was systematically investigated. Positive real synthesis was employed to determine the optimal five-element passive network structure for the fractional-order biquadratic electrical network. Subsequently, the Oustaloup filter approximation algorithm was utilized to realize the integer-order equivalents of the fractional-order electrical components, and the approximation effectiveness was analyzed through frequency-domain and time-domain simulations. Bench testing validated the effectiveness of the proposed method: under random road excitation at 20 m/s, the root mean square (RMS) values of the vehicle body acceleration, suspension working space, and dynamic tire load were reduced by 7.86%, 17.45%, and 2.26%, respectively, in comparison with those of the traditional passive suspension. This research provides both theoretical foundations and practical engineering solutions for implementing fractional-order transfer functions in vehicle suspensions, establishing a novel technical pathway for comprehensively enhancing suspension performance.
为应对物理实现分数阶电气网络的挑战，本研究提出了一种基于分数阶双二次传递函数的机电惯性-弹簧-阻尼器（ISD）悬架的实现方法。基于先前建立的机电ISD悬架模型，系统地研究了参数扰动对悬架动态性能特性的影响。采用正实综合法确定分数阶双二次电气网络的最优五元无源网络结构。随后，利用Oustaloup滤波器近似算法实现分数阶电气元件的整数阶等效，并通过频域和时域仿真分析了近似效果。台架试验验证了所提方法的有效性：在20 m/s的随机路面激励下，与传统被动悬架相比，车身加速度、悬架工作空间和动态轮胎载荷的均方根（RMS）值分别降低了7.86%、17.45%和2.26%。本研究为在车辆悬架中实现分数阶传递函数提供了理论基础和实际工程解决方案，为全面提升悬架性能建立了一条新的技术途径。
