Optimal open-loop feedback control for linear systems with unknown parameters

The problem of controlling a class of linear systems with unknown parameters is considered. The optimal open-loop strategies are obtained for linear systems with unknown parameters in the system matrix with a quadratic performance index. The method of solution is based upon the use of the Hamilton-Jacobi theory. Robert B. Asher is with the Air Force Avionics Laboratory, Wright-Patterson AFB, Ohio. Craig S. Sims is with the Department of Electrical Engineering, Oklahoma State University, Stillwater, Oklahoma. Henry R. Sebesta is with the Department of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, Oklahoma.