Dynamic inverse control of feedback linearization in ballistic correction based on nose cone swinging
来源期刊：中南大学学报(英文版)2013年第9期
论文作者：QIN Hua-wei(秦华伟) WANG Hua(王华)
文章页码：2447 - 2453
Key words：nose cone swinging; two-dimensional ballistic correction; feedback linearization; dynamic inverse control; three-time- scale separation method
Abstract: It is a complicated nonlinear controlling problem to conduct a two-dimensional trajectory correction of rockets. By establishing the aerodynamic correction force mathematical model of rockets on nose cone swinging, the linear control is realized by the dynamic inverse nonlinear controlling theory and the three-time-scale separation method. The control ability and the simulation results are also tested and verified. The results show that the output responses of system track the expected curve well and the error is controlled in a given margin. The maximum correction is about ±314 m in the lengthwise direction and ±1 212 m in the crosswise direction from the moment of 5 s to the drop-point time when the angle of fire is 55°. Thus, based on the dynamic inverse control of feedback linearization, the trajectory correction capability of nose cone swinging can satisfy the requirements of two-dimensional ballistic correction, and the validity and effectiveness of the method are proved.
QIN Hua-wei(秦华伟)1, WANG Hua(王华)2
(1. College of Mechanical and Electrical Engineering, North University of China, Taiyuan 030051, China;
2. School of Astronautics, Beijing University of Aeronautics & Astronautics, Beijing 100191, China)
Abstract:It is a complicated nonlinear controlling problem to conduct a two-dimensional trajectory correction of rockets. By establishing the aerodynamic correction force mathematical model of rockets on nose cone swinging, the linear control is realized by the dynamic inverse nonlinear controlling theory and the three-time-scale separation method. The control ability and the simulation results are also tested and verified. The results show that the output responses of system track the expected curve well and the error is controlled in a given margin. The maximum correction is about ±314 m in the lengthwise direction and ±1 212 m in the crosswise direction from the moment of 5 s to the drop-point time when the angle of fire is 55°. Thus, based on the dynamic inverse control of feedback linearization, the trajectory correction capability of nose cone swinging can satisfy the requirements of two-dimensional ballistic correction, and the validity and effectiveness of the method are proved.
Key words:nose cone swinging; two-dimensional ballistic correction; feedback linearization; dynamic inverse control; three-time- scale separation method
