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International Journal of Aerospace Engineering
Volume 2016, Article ID 2942686, 12 pages
Research Article

Triangle Interception Scenario: A Finite-Time Guidance Approach

1Xi’an Research Institute of High-Tech, Xi’an 710025, China
2Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China

Received 8 October 2015; Accepted 24 December 2015

Academic Editor: Christian Circi

Copyright © 2016 Yang Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Considering an aircraft threatened by an interceptor, one of the effective penetration strategies is to release a Defender from the aircraft to confront the interceptor. In this case, the aircraft, the Defender, and the interceptor constitute the three-body guidance relationship, and the cooperation of the aircraft and its Defender to achieve the best tactical effects turns into a concerned problem. This paper studies the triangle interception guidance problem via the finite-time theory. The paper presents linear system Input-Output Finite-Time Stabilization (IO-FTS) method. The sufficient conditions of the linear system, being IO-FTS, under Finite-Time Boundedness (FTB) constraint are proposed, by which the state feedback controllers design method is obtained, via Linear Matrix Inequalities (LMIs). The triangle interception guidance problems are studied in three different cases, where the proposed methods are applied to the guidance design. The simulation results illustrate the effectiveness of the proposed methods.