arXiv:2607.03216cs.RO2026-07中稿 · IEEE Journal of Oc…

用流体物理约束提升四鳍机器鱼的推进效率

Strouhal-Aware Model Predictive Control for Efficient Multi-Fin Flapping Locomotion

论文配图:Strouhal-Aware Model Predictive Control for Efficient Multi-Fin Flapping Locomotion
图 1 · 摘自论文原文
  • 基于斯特劳哈尔数约束设计实时模型预测控制
  • 巡航速度下能耗降低8.8%至32%
  • 适合追求长续航的仿生水下机器人研发

高效扑翼推进依赖于在狭窄的斯特劳哈尔数范围内运行,这是自然界演化出的最佳推力-功率比区间。本文将这一生物启发的经验规律转化为实时控制策略,应用于由四个软鳍驱动的自主水下航行器。提出的斯特劳哈尔感知模型预测控制(MPC)在准稳态水动力模型中引入斯特劳哈尔数偏离的显式惩罚项,通过两阶段采样与梯度优化求解非凸问题,可在机载系统上以25 Hz频率运行。池测和野外试验表明,该控制器可将每个鳍的斯特劳哈尔数维持在最优区间(0.25–0.35),同时精确跟踪指令力。在0.1至0.3 m/s的巡航速度范围内,机械功耗平均降低8.8%至32%。该方法还使系统达到0.4 m/s的速度,而传统逆模型无法实现。结果证实,在MPC目标中嵌入第一性原理流体物理可带来显著续航提升,且不牺牲敏捷性,为下一代多鳍机器人的节能运动提供通用路径。

原文摘要 · Abstract (English)

Efficient flapping propulsion hinges on operating within a narrow Strouhal number window, a principle nature has converged upon for maximum thrust-to-power ratio. We translate this bioinspired empirical rule into real-time control, demonstrating it on an autonomous underwater vehicle driven by four soft fins. The proposed Strouhal-aware Model Predictive Control (MPC) enhances a quasi-steady hydrodynamic model with an explicit penalty for Strouhal deviation, solving the resulting nonconvex problem via a two-stage sampling and gradient optimization that runs onboard at 25 Hz. Pool and field trials show that the controller keeps each fin within the optimal Strouhal corridor (0.25-0.35) while precisely tracking commanded forces. This results in a mean reduction in mechanical power of 8.8\% to 32\% throughout the cruising range of 0.1 to 0.3 m/s. The proposed method also allows for a velocity of 0.4 m/s, which is unattainable for a baseline of the conventional inverse model. The results confirm that embedding first-principle flow physics into an MPC objective yields tangible endurance gains without sacrificing agility, offering a generic pathway to energy-aware locomotion in next-generation multifin robots.

仿生机器人能量效率模型预测控制

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