Investigation of the maximum error of motion control

Abstract

The task of synthesizing an automatic motion control system based on the criterion of the minimization of maximum control error is set. The maximum resulting error is defined as the sum of the dynamic component of the error and the component of the error from the broadband interference disturbance. The task is especially relevant for controlling the landing of aircraft, a wide range of guidance tasks, flight control in the mode of following the terrain, in the mode of stabilizing the low altitude of the WIG-craft. The maximum possible value of the dynamic error is strictly estimated from the given maximum values of several derivatives of the input action. These numerical data are easy to find experimentally or based on a priori theoretical research. As for the second component of the error from the input white noise, its quasi-maximum value is assumed to be equal to five r.-m.-s. values. The objective function of the system parameters optimization is investigated analytically for the extremum. The potential control accuracy is determined. In contrast to optimization by the criterion of minimum r.-m.-s. error, the optimal bandwidth of the system is narrower that is better for suppression the interference error.