In this MATLAB-Script two feedback controllers for stabilizing a non-linear dynamical system are compared. The system is described by the following differential equation:
Recursive design where in each step one state variable get's controled. The resulting closed loop system leads to asymptotic stability.
Finally substitude back and
into the control law.
A positive definite "pseudo-energy" energy function is defined. The control law aims to make the derivative of this function negative (semi-)definite. This leads to a closed loop system which loses energy over time.
