Davoodi Ayoob, Mohseni Omid, Seyfarth Andre, Sharbafi Maziar A
School of ECE, Control and Intelligent Processing Center of Excellence (CIPCE), College of Engineering, University of Tehran, Tehran, Iran.
Lauflabor Locomotion Lab, Centre for Cognitive Science, TU Darmstadt, Germany.
R Soc Open Sci. 2019 Mar 27;6(3):181911. doi: 10.1098/rsos.181911. eCollection 2019 Mar.
Biomechanical models with different levels of complexity are of advantage to understand the underlying principles of legged locomotion. Following a minimalistic approach of gradually increasing model complexity based on concept, in this paper, a spring-loaded inverted pendulum-based walking model is extended by a rigid trunk, hip muscles and reflex control, called nmF (neuromuscular force modulated compliant hip) model. Our control strategy includes leg force feedback to activate hip muscles (originated from the FMCH approach), and a discrete linear quadratic regulator for adapting muscle reflexes. The nmF model demonstrates human-like walking kinematic and dynamic features such as the virtual pendulum (VP) concept, inherited from the FMCH model. Moreover, the robustness against postural perturbations is two times higher in the nmF model compared to the FMCH model and even further increased in the adaptive nmF model. This is due to the intrinsic muscle dynamics and the tuning of the reflex gains. With this, we demonstrate, for the first time, the evolution of mechanical template models (e.g. VP concept) to a more physiological level (nmF model). This shows that the template model can be successfully used to design and control robust locomotor systems with more realistic system behaviours.
具有不同复杂程度的生物力学模型有助于理解腿部运动的基本原理。本文遵循一种基于概念逐步增加模型复杂度的简约方法,对基于弹簧加载倒立摆的行走模型进行扩展,加入了刚性躯干、髋部肌肉和反射控制,称为nmF(神经肌肉力调制柔顺髋部)模型。我们的控制策略包括用于激活髋部肌肉的腿部力反馈(源自FMCH方法),以及用于调整肌肉反射的离散线性二次调节器。nmF模型展示了类似人类行走的运动学和动力学特征,如从FMCH模型继承而来的虚拟摆(VP)概念。此外,nmF模型对姿势扰动的鲁棒性比FMCH模型高两倍,在自适应nmF模型中甚至进一步提高。这是由于内在的肌肉动力学和反射增益的调整。借此,我们首次展示了机械模板模型(如VP概念)向更生理层面(nmF模型)的演进。这表明模板模型可成功用于设计和控制具有更现实系统行为的鲁棒运动系统。