I have 3 nonlinear differential equations and implement Jacobian procedure to create state space model. As you know, Jacobian matrices should be calculated for equilibrium points.
My model contains 3 state variables and 2 inputs. So, i have to obtain totaly 5 equilibrium points for my system. My inputs are like ramp input, so they are not constant. Magnitude of inputs are different in each step of time. At this point, i have confusion:
- Should i change state space model in every step because of input?
- If first is true, how can i obtain new equilibrium points in every step?
- May new equilibrium points make my system unstable locally? If i face this kind of problem, what should i do?
Thanks for your support!