M.E. Achhab

On the admissible controls for a class of nonlinear systems with control and state constraints

The authors consider nonlinear continuous time autonomous systems which have a linear part and a known equilibrium point. They give a precise definition of the class of admissible controls. Then, they give some properties of the set of admissible controls, including that this set has a nonempty interior and is closed for the usual topology. Under additional hypotheses, they show that it is also a convex set.<<ETX>>

Control of a class of nonlinear systems with general constraints

The problem of steering the state of a nonlinear system from the origin to a desired final state, while observing state and control constraints along the whole trajectory, is examined. An iterative procedure that allows computation of the steering admissible control function is given.<<ETX>>