Parametric Minimization of Controller Matrix Norm at Stabilizing Spatial Motion of a Maneuverable Aircraft

Abstract

This paper deals with stabilizing spatial motion of a maneuverable aircraft with three controls and nine state parameters. It is required to provide specified dynamic properties of the controlled plant at minimal control actions.To solve the assigned task the modification of the Bass – Gura formula is suggested, which allows analytically synthesizing stabilizing modal control for multi-input objects and simplifies parameterization of this control.For numeric matrices describing one of flight modes of the typical maneuverable aircraft and for required dynamic properties of the closed-loop control system a parameterized analytic solution of the considering problem is obtained in the form of controller matrix. A control law providing small values of state vector components and of controls shifts is synthesized by choosing the parameters minimizing the sum of controller coefficients absolute values. The simulation results are shown.