Abstract: The problem of finding control laws for underactuated
systems has attracted growing attention since these systems are
characterized by the fact that they have fewer actuators than the
degrees of freedom to be controlled. The acrobot, which is a planar
two-link robotic arm in the vertical plane with an actuator at the elbow
but no actuator at the shoulder, is a representative in underactuated
systems. In this paper, the dynamic model of the acrobot is
implemented using Mathworks’ Simscape. And the sliding mode
control is constructed using MATLAB and Simulink.
Abstract: We consider nonlinear uncertain systems such that a
priori information of the uncertainties is not available. For such
systems, we assume that the upper bound of the uncertainties is
represented as a Fredholm integral equation of the first kind and we
propose an adaptation law that is capable of estimating the upper
bound and design a continuous robust control which renders nonlinear
uncertain systems ultimately bounded.