Optimal control computational techniques for a class of non-linear distributed parameter systems†

Abstract

This paper discusses the mathematical description of propagation and growth of wave-type phenomena which may occur in many physical systems, such as magneto-hydrodynamic system, fluid flow system, electromagnetic field system. This work also discusses the statement of a maximum principle for this wave generating system, and the problems associated with approximating this distributed system by discretization into lumped systems for the sake of computations. A one-dimensional version of this system with a quadratic cost function has been taken, and the method of gradients and quasilinearization techniques has been applied to derive the optimal control function

Notes

†Communicated by the Author. Partially supported by a University of Evansville faculty research grant. To be presented at 1971 I.E.E.E. Decision and Control Conference, Miami Beach, Florida. Being considered for publication in the Transactions on Automatic Control in a different form