Modeling and exponential reaching law sliding mode control of the lower limb in cycling

In this study, a 3-DOF dynamic model is developed for the lower limb in the cycling activity using Lagrangian mechanics. An exponential reaching law sliding mode controller is then applied to the system in order to imitate the joints' real motion. The kinematic data of the joints are obtained through conducting experiments with an ergometer bike. Results show acceptable tracking performance for the control system. The study's outcome can be used by rehabilitation experts in their work. It is also useful for the engineers in designing rehabilitation devices or developing muscular models.