A robust controller for scalar autonomous optimal control problems

Is it possible to exert control on a physical system without detailed knowledge of its open-loop dynamics? Lam (1997, 1999) showed that a special dynamic control law can accomplish this feat for a certain class of nonlinear systems, provided accurate and good quality data of all output variables, including their time derivatives, are assumed available to the controller. This paper generalizes this theoretical idea to a class of scalar autonomous optimal control problems.