Hi All,
I am working on a mobile robot project, using optimal control. I know how to obtain Euler-Lagrange equations for a system with dynamic equation in the form:
dx/dt = f(x,u), where x is the state vector, u is the control
Now if my dynamic equation has the form of
dx/dt = f(x,u, u', u''), where u' = du/dt and u'' = d^u/dt^2.
Can this type of problem be solved by optimal control? What are the equivalent Euler-Lagrange equations?
Thanks in advance,
Everett