Discrete controller design for Gaussian- and waveform-type disturbances

Abstract

This paper describes the general theory of Noisy Discrete Disturbance-Util izing Control (NDDUC) and its application to a planar t erminal homing missile intercept problem. NDDUC is a newlydeveloped control theory relating to the design of discrete c ontrollers which accommodate gaussian disturbances in addition to disturbances that possess structuretT. Previous work in this area applied Linear-Quadratic-Gaussian (LQG) theory to terminal homing missile problems with gaussian n oise and, more recently, disturbanceutilizing control theory to terminal homing missile problems with fTwaveform type disturbances. T his paper describes a new application which combines features of both approaches in terminal homing problems where both classes of disturbances are present. If both waveform-type and noise-type disturbances are present, then NDDUC outperforms the conventional discrete-time LQG estimator/controller. NDDUC effectively utilizes the waveform disturbances to reduce control energy consumption and to obtain lower terminal miss distances.