A Hamilton-Jacobi approach to the optimal control of distributed parameter systems†
J. A. Graham · International Journal of Control · 1970
A one-dimensional heat conduction system is optimized with respect to a quadratic performance index. A sampled-data model is employed to obtain a representation of the system for which the standard form of the matrix Riccati equation and the Kalman equation may be employed. Solutions obtained for the two equations are in excellent agreement with each other and also with a published result.