A novel approach to the 2d differential geometric guidance problem

Transactions of the Japan Society for Aeronautical and Space Sciences

Volumn 50, Issue 167, 2007, Pages 34-40

  Li, Chaoyong ^a   Jing, Wuxing ^a   Qi, Zhiguo ^b   Wang, Hui ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b Shanghai Electro Mechanical Engineering Institute   (China)

Author keywords

Differential geometry; Initial condition; Missile guidance; Newton iteration; Proportional navigation

Indexed keywords

ARC LENGTH; DIFFERENTIAL GEOMETRY; GUIDANCE AND CONTROL SYSTEM; GUIDANCE LAWS; GUIDANCE SYSTEM; HIGH-SPEED; INITIAL CONDITIONS; ITERATIVE ALGORITHM; ITERATIVE SOLUTIONS; MANEUVERING TARGETS; NEWTON ITERATIONS; PID CONTROLLERS; PROPORTIONAL NAVIGATION; PROPORTIONAL NAVIGATION GUIDANCE; SIMULATION RESULT; TIME DOMAIN;

ALGORITHMS; ELECTRONIC GUIDANCE SYSTEMS; FLIGHT CONTROL SYSTEMS; GEOMETRY; NAVIGATION; PROPORTIONAL CONTROL SYSTEMS; TIME DOMAIN ANALYSIS;

ITERATIVE METHODS;

EID: 40749116570     PISSN: 05493811     EISSN: None     Source Type: Journal    
DOI: 10.2322/tjsass.50.34     Document Type: Article

References (12)

1. Siouris, G. M.: Missile Guidance and Control Systems, Springer- Verlag, New York, 2004.
2. Ortega, J. M. and Rheinboldt, W. C.: Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970.
3. Adler, F.P.: Missile Guidance by Three-Dimensional Proportional Navigation, J. Appl. Phys., 27(1956), pp. 500-507.
4. Kuo, C. Y. and Chiou, Y. C.: Geometric Analysis of Missile Guidance Command, IEE Proc-Control Theory and Applications, 147(2000), pp. 205-211.
5. Chiou, Y. C. and Kuo, C. Y.: Geometric Approach to Three-Dimensional Missile Guidance Problem, J. Guid. Control Dynam., 21(1998), pp. 335-341.
6. Kuo, C. Y., Soetanto, D. and Chiou, Y. C.: Geometric Analysis of Flight Control Command for Tactical Missile Guidance, IEEE Trans. Control Syst. Technol., 9(2000), pp. 234-243. (Pubitemid 32406980)
7. Struik, D. J.: Lectures on Classical Differential Geometry, Dover, New York, 1998.
8. Li, C. Y., Jing, W. X., Wang, H. and Qi, Z. G.: Application of 2D Differential Geometric Guidance to Tactical Missile Interception, Proceedings of IEEE Aerospace Conference, Big Sky, MT, U.S.A., 2006.
9. Ariff, O., Zbikowski, R., Tsourdos, A. and White, B. A.: Differential Geometric Guidance Based on the Involute of the Target's Trajectory: 2-D Aspects, Proceedings of the 2004 American Control Conference, Boston, 2004, pp. 3640-3644.
10. Ariff, O., Zbikowski, R., Tsourdos, A. and White, B. A.: Differential Geometric Guidance Based on the Involute of the Target's Trajectory, J. Guid. Control Dynam., 28(2005), pp. 990-996. (Pubitemid 41412587)
11. White, B.A., Ariff, O., Zbikowski, R. and Tsourdos, A.: Direct Intercept Guidance Using Differential Geometric Concepts, Proceedings of AIAA Guidance and Navigation Control Conference, August, 2005, AIAA Paper 2005-5969.
12. Joseph, Z. and Asher, B.: New Proportional Navigation Law for Ground-to-air Systems, J. Guid. Control Dynam., 26(2003), pp. 822-825.