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RESEARCH PAPERS: Exterior Ballistics

Study on Missile Formation Reconfiguration Optimized Trajectory Generation and Control

[+] Author and Article Information
Naigang Cui, Jifeng Guo, Biao Zhao

Department of Astronautic Engineering, P.O. Box 345, Harbin Institute of Technology, Harbin, Heilongjiang Province, 150001, P.R.C.

Changzhu Wei

Department of Astronautic Engineering, P.O. Box 345, Harbin Institute of Technology, Harbin, Heilongjiang Province, 150001, P.R.C.weichangzhu@gmail.com

J. Appl. Mech 77(5), 051501 (May 17, 2010) (10 pages) doi:10.1115/1.4001562 History: Received July 31, 2009; Revised March 26, 2010; Posted April 12, 2010; Published May 17, 2010; Online May 17, 2010

The methods of missile formation reconfiguration optimal trajectory generating and control are described. Given a formation of intelligence missiles, an initial configuration, a final configuration, a time for reconfiguration, and a set of inter- and intramissile constraint, reconfiguration trajectory generation and control problems focused on determining and controlling a normal input trajectory for each intelligence missile such that every intelligence missile can fly as the expected optimal trajectory while satisfying all the sets of constraints. In this paper, solving the optimal trajectory generation problem by posing the input as a polynomial form and analyzing the symbolic reachability computation based on the quantifier elimination theory is of interest. A combination of proportion and differential control with the position error is used in the design of the missile formation controller used to track the optimal transfer trajectory. Simulations by the package REGLOG demonstrate that the optimal transfer trajectory generation process is feasible; the controller is capable of tracking the optimal transfer trajectory.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

The diagram of inertial and relative coordinate frames

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Figure 2

Optimal trajectory of missile formation reconfiguration

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Figure 3

Acceleration of leader

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Figure 4

Acceleration of follower 1

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Figure 5

Acceleration of follower 2

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Figure 6

The flow chart of missile formation control

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Figure 7

Relative distance between leader and follower 2

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Figure 8

Errors between real and expected trajectories of x, y, and z channels for leader

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Figure 9

Errors between real and expected trajectories of x, y, and z channels for follower 1

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Figure 10

Errors between real and expected trajectories of x, y, and z channels for follower 2

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Figure 11

Expected distance between the leader and follower 1 in x, y, and z channels

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Figure 12

Expected distance between the leader and follower 2 in x, y, and z channels

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