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: State Dependent Riccati Equation (SDRE) approach is
a modification of the well studied LQR method. It has the capability of being applied to control nonlinear systems. In this paper the technique
has been applied to control the single inverted pendulum (SIP) which represents a rich class of nonlinear underactuated systems. SIP
modeling is based on Euler-Lagrange equations. A procedure is developed
for judicious selection of weighting parameters and constraint handling. The controller designed by SDRE technique here gives better results than existing controllers designed by energy based techniques.