A frequency domain approach to linear optimal control.

Abstract

To find the control that minimizes a quadratic performance index requires, in the frequency domain, the solution of a matrix Wiener-Hopf equation. A simple algebraic method is given for solving this equation in the linear mult icon troller case. The solution yields not only the optimal control but the feedback gains as well. This obviates the need to solve a steadystate Riccati equation. The ideas involved are illustrated with a simplified set of equations of motion representing a small jet aircraft in a power approach. Thrust and elevator are both used as active controllers. A method that specifies a set of desirable closed-loop poles and yet retains some freedom for positioning the zeros of the system is discussed.