We need to read your mind.
Let me see. You want to minmize the square of the difference between u, and u_nom, subject to an inequality constraint on some variables that seem not to be related to u at all? And possibly (we don't know this), but possibly, the inequality constraint MAY be a differential equation? That is, is the variable hdot actually the time derivative of h? Or something like that?
Is u a scalar? u_nom? How does it relate to alpha? h? hdot?
Sorry. I'm trying to read your mind as to what you actually mean by that vaguely specified problem, but the MATLAB crystal ball is so foggy today.
Seriously, how would you write that? That is impossible to know. This might be a differential equation problem. It might be an optimization problem, so possibly you would need to use fmincon or GA. But beyond that, you need to be far more clear about the question.
