|
|
|
| Initial State Estimation for Boost Phase Object Based on Linear Least Square Estimation |
| Zhao Yan① Cheng Hong-wei② Yi Dong-yun① Zhang Qian③ |
| ①School of Science, National University of Defense Technology, Changsha 410073, China ②Beijing Institute of Tracking and Telecommunication Technology, Beijing 100094, China ③Beijing Aerospace Command and Control Center, Beijing 100094, China |
|
|
|
|
Abstract The initial state estimation for boost phase object is an important issue to estimate the missile’s tactical parameters, as well as the precondition for the surveillance system to perform the real-time tracking. In the condition of the space-based observations, the initial state estimation is the solution of the nonlinear LSE problem. Firstly, the 8-state gravity turn model for the boost phase object is established, and then the target’s kinematic parameters are approximated by using the linear constant acceleration derivative model, and the nonlinear measurements are pseudo linearized. Therefore, the nonlinear LSE problem is translated into the linear LSE problem after the aforementioned steps . Specially, in this paper, the explicit derivation of the pseudo linearized space-based observation and its statistical moments are deduced, and its application conditions are illuminated. Finally, the advantage of the proposed method is illustrated in the aspects of precision and efficiency by comparing with the CRLB and classical Gauss-Newton iteration algorithm.
|
|
Received: 02 February 2010
|
|
|
|
Corresponding Authors:
Yi Dong-yun
E-mail: dongyun.yi@gmail.com
|
|
|
|
|
|
|
2010, Vol. 32 
