2015 · 10 citations · 53 references
EngineeringMechatronics EngineeringRobotics EngineeringRobot ControlRobot DynamicsRoboticsControl SystemsControl TheoryHuman LocomotionLegged LocomotionLegged Robot ControlLegged RoboticsAngular Velocity AnalysisBipedal ControlLeg DesignLeg Dynamics
This article describes the approach to control of human leg dynamical model as a switched linear system. The control scheme consists of fractional and integral order PID controllers. In the paper we analyze the responses of the system depending on the above-mentioned controllers. We focus our attention on angular displacements only. The angular velocity maybe arbitrary. Additionally, we present the method how to design a human leg as the switched linear system. In this case the switching rule is state-dependent. Finally, we present two illustrative examples for two different trajectories.
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The Grünwald–Letnikov method for fractional differential equations
Rudolf Scherer, S. L. Kalla, Yifa Tang et al. · Computers & Mathematics with Applications · 2011 · 462 citations