I have designed a controller using Integrator backstepping method and that controller is based on Lyapunov Theory. I have a question How I can check stability of resulting controller?
I'm a little confused. Did you design an integrator backstepping controller for a general nonlinear plant, x' = f(t, x(t), u(t)); y = h(t, x(t), u(t))? If so, are you looking for a real-time application to test the performance and to check the stability of the control system?
I have designed controller for linear system. it is fourth order system with external disturbance in the form of force. In other word you can say system has two input such u1 and u2 while one output.