Estimating evasive acceleration for ballistic targets using an extended state observer

This paper presents the development of an estimation algorithm for ballistic-target evasive acceleration during the terminal phase of interception. The proposed design is based on an application of the extended state observer, using target information acquired from a seeker to estimate target evasive acceleration. It is applicable to multiple-input multiple-output plants with variable observer gains applied in nonlinear coupled line-of-sight pitch and yaw dynamics. Design and stability analysis are evolved based on the theory of Lyapunov, with noncontinuous, piecewise, smoothly Lyapunov function candidates.

[1]  T. Song,et al.  Suboptimal filter design with pseudomeasurements for target tracking , 1988 .

[2]  Dan Simon,et al.  Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches , 2006 .

[3]  P. Bogler.  Tracking a Maneuvering Target Using Input Estimation , 1987, IEEE Transactions on Aerospace and Electronic Systems.

[4]  N. Jeremy Kasdin,et al.  Two-step optimal estimator for three dimensional target tracking , 2005, IEEE Transactions on Aerospace and Electronic Systems.

[5]  George M Siouris,et al.  Missile Guidance and Control Systems , 2004 .

[6]  Sou-Chen Lee,et al.  Improved Trajectory Estimation of Reentry Vehicles from Radar Measurements Using On-Line Adaptive Input Estimator (Special Section on Nonlinear Theory and Its Applications) , 1998 .

[7]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[8]  Y.t. Chan,et al.  A Kalman Tracker with a Simple Input Estimator , 1982, IEEE Transactions on Aerospace and Electronic Systems.

[9]  Kishore Mehrotra,et al.  Mixed coordinate tracking of generalized maneuvering targets using acceleration and jerk models , 2000, IEEE Trans. Aerosp. Electron. Syst..

[10]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[11]  Wang Yu-hang.  Acceleration estimation of maneuvering targets based on extended state observer , 2009 .

[12]  Yuan Tian,et al.  Design of three-dimensional guidance law based on extended state observer for hit-to-kill interceptors , 2009, 2009 IEEE International Conference on Automation and Logistics.

[13]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[14]  G.M. Siouris,et al.  Tracking an incoming ballistic missile using an extended interval Kalman filter , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[15]  Yu Yao,et al.  A new type extended state observer for system with measurement noise , 2008, 2008 IEEE International Conference on Automation and Logistics.

[16]  Harold W. Sorenson,et al.  Parameter estimation: Principles and problems , 1980 .

[17]  Ma Ke-mao.  Error estimation of second order extended state observer , 2010 .

[18]  A. Farina,et al.  Tracking a ballistic target: comparison of several nonlinear filters , 2002 .

[19]  Y. Chan,et al.  A Kalman Filter Based Tracking Scheme with Input Estimation , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[20]  R. Singer.  Estimating Optimal Tracking Filter Performance for Manned Maneuvering Targets , 1970, IEEE Transactions on Aerospace and Electronic Systems.

[21]  Chin-Fang Lin.  Advanced Flight Control System Design , 1993 .