Khang G, Zajac F E
IEEE Trans Biomed Eng. 1989 Sep;36(9):885-94. doi: 10.1109/10.35297.
We simulated two types of body motion. First, the body position is assumed to be initially perturbed from the upright position, and all muscles are assumed inactive at the initial position. The control law developed in the preceding paper drives the body segments to the standing position. Arm movements are then applied to the body to investigate how performance is affected by an external disturbance. Simulated body motion indicated that the current output-feedback control law functions well. The body can recover upright posture from a highly flexed position, and the controller can then maintain the body near the vertical during arm movements. The simulation results showed three consistent activation patterns based on energy minimization: 1) no antagonistic muscle pairs are coactivated, 2) strong muscles are recruited before weak ones, and 3) fast muscles are recruited before slow ones. The reason for the second and third observations is that energy liberation rate depends heavily on the relative amount of muscle activation. Since the current control law requires muscles to generate specific joint torques at a prescribed time, strong muscles do not have to be activated as much as weak ones, and recruiting a fast muscle at low activation level consumes less energy than recruiting a slow one at high activation level. Although the output-feedback control law functions well according to our simulation results, the static optimization process would, in practice, take too much computational time to make it practical. Based on the consistent activation patterns found in our simulations, we therefore developed a simpler (suboptimal) activation-distribution scheme that takes much less time and still gives nearly identical performance.
我们模拟了两种身体运动。首先,假设身体位置最初从直立位置受到扰动,并且所有肌肉在初始位置被假定为不活动。在前一篇论文中开发的控制律将身体各部分驱动到站立位置。然后将手臂运动应用于身体,以研究外部干扰如何影响性能。模拟的身体运动表明当前的输出反馈控制律运行良好。身体能够从高度弯曲的位置恢复直立姿势,并且控制器随后能够在手臂运动期间将身体保持在接近垂直的状态。模拟结果显示了基于能量最小化的三种一致的激活模式:1)没有拮抗肌对同时被激活,2)强壮的肌肉在弱小的肌肉之前被募集,3)快速收缩的肌肉在慢速收缩的肌肉之前被募集。第二个和第三个观察结果的原因是能量释放率在很大程度上取决于肌肉激活的相对量。由于当前的控制律要求肌肉在规定的时间产生特定的关节扭矩,强壮的肌肉不必像弱小的肌肉那样被大量激活,并且在低激活水平募集快速收缩的肌肉比在高激活水平募集慢速收缩的肌肉消耗的能量更少。尽管根据我们的模拟结果输出反馈控制律运行良好,但在实际中,静态优化过程会花费太多的计算时间以至于不实用。因此,基于我们在模拟中发现的一致激活模式,我们开发了一种更简单(次优)的激活分布方案,该方案花费的时间要少得多,并且仍然能给出几乎相同的性能。