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http://dx.doi.org/10.5139/IJASS.2017.18.3.522

Consensus of Leader-Follower Multi-Vehicle System  

Zhao, Enjiao (Harbin Institute of Technology)
Chao, Tao (Harbin Institute of Technology)
Wang, Songyan (Harbin Institute of Technology)
Yang, Ming (Harbin Institute of Technology)
Publication Information
International Journal of Aeronautical and Space Sciences / v.18, no.3, 2017 , pp. 522-534 More about this Journal
Abstract
According to the characteristics of salvo attack for the multiple flight vehicles (MFV), the design of cooperative guidance law can be converted into the consensus problem of multi-vehicle system through the concept of multi-agent cooperative control. The flight vehicles can be divided into leader and followers depending on different functions, and the flight conditions of leader are independent of the ones of followers. The consensus problem of leader-follower multi-vehicle system is researched by graph theory, and the consensus protocol is also presented. Meanwhile, the finite time guidance law is designed for the flight vehicles via the finite time control method, and the system stability is also analyzed. Whereby, the guidance law can guarantee the line of sight (LOS) angular rates converge to zero in finite time, and hence the cooperative attack of the MFV can be realized. The effectiveness of the designed cooperative guidance method is validated through the simulation with a stationary target and a moving target, respectively.
Keywords
Leader-follower; Multiple flight vehicles; Consensus; Cooperative guidance;
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1 Sujit, P. B. and Beard, R., "Cooperative Path Planning for Multiple UAVs Exploring an Unknown Region", Proceeding of the 2007 American Control Conference, 2007, pp. 347-352.
2 Weitz, L. A. and Hurtado, J. E., "Decentralized Cooperative Control Design for Multivehicle Formations", Journal of Guidance, Control, and Dynamics, Vol. 31, No. 4, 2008, pp. 970-979.   DOI
3 Shaferman, V. and Shima, T., "Cooperative Optimal Guidance Laws for Imposing a Relative Intercept Angle", Journal of Guidance, Control, and Dynamics, Vol. 38, 2015, pp. 1395-1408.   DOI
4 Spillings, J., Burke, P. and Tsourdos, A., "An Evaluation of Sensor and Data Fusion Technologies for Application with an Integrated Base Defense System", AIAA Infotech@ Aerospace Conference, Seattle, Washington, 6-9 April 2009.
5 Saleem, A. and Ratnoo, A., "Lyapunov-Based Guidance Law for Impact Time Control and Simultaneous Arrival", Journal of Guidance, Control, and Dynamics, 2015.
6 Jeon, I. S., Lee, J. I. and Tahk, M. J., "Impact-Time- Control Guidance Law for Anti-Ship Missiles", IEEE Transactions on Control Systems Technology, Vol. 14, No. 2, 2006, pp. 260-266.   DOI
7 Wei, X., Wang, Y. J., Dong, S. and Liu, L., "A Three- Dimensional Cooperative Guidance Law of Multi-Missile System", International Journal of Aerospace Engineering, 2015, pp. 1-8.
8 Wang, Y. J., Dong, S., Ou, L. L. and Liu, L., "Cooperative Control of Multi-Missile Systems", IET Control Theory and Applications, Vol. 9, No. 3, 2015, pp. 441-443.   DOI
9 Fax, J. and Murray, R., "Information Flow and Cooperative Control of Vehicle Formations", IEEE Transactions on Automatic Control, Vol. 49, 2004, pp. 1465- 1476.   DOI
10 Zhao, S. Y. and Zhou, R., "Cooperative Guidance for Multi-Missile Salvo Attack", Chinese Journal of Aeronautics, Vol. 21, 2008, pp. 533-539.   DOI
11 Olfati-Saber, R. and Murray, R., "Consensus Problems in Networks of Agents with Switching Topology and Timedelays", IEEE Transactions on Automatic Control, Vol. 49, No. 9, 2004, pp. 1540-1533.
12 Cortes, J., "Distributed Algorithms for Reaching Consensus on General Functions", Automatica, Vol. 44, No. 3, 2008, pp. 726-737.   DOI
13 Cheng, Y. and Ugrinovskii, V., "Leader-Follower Tracking Control with Guaranteed Consensus Performance for Interconnectedsystems with Linear Dynamic Uncertain Coupling", International Journal of Control, Vol. 88, No. 8, 2015, pp. 1663-1677.   DOI
14 Hong, Y. G., Hu, J. P. and Gao, L. X., "Tracking Control Formulti-Agent Consensus with an Active Leader and Variabletopology", Automatica, Vol. 42, No. 7, 2006, pp. 1177- 1182.   DOI
15 Olfati-Saber, R., "Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory", IEEE Transaction on Automatic Control, Vol. 51, No. 3, 2006, pp. 401-420.   DOI
16 Hong, Y. G., Wang, J. K. and Chen, D. Z., "Adaptive Finite-Time Control of Nonlinear Systems with Parametric Uncertainty", IEEE Transactions on Automatic Control, Vol. 51, No. 4, 2006, pp. 858-862.   DOI
17 Olfati-Saber, R., "Distributed Tracking for Mobile Sensor Networks with Information-Driven Mobility", In Proceedings of the American Control Conference, 2007, pp. 4606-4612.
18 Cortes, J., "Finite-Time Convergent Gradient Flows with Applications to Network Consensus", Automatica, Vol. 42, No. 11, 2006, pp. 1993-2000.   DOI
19 Wang, L. and Hong, Y., "Finite-Time Consensus Problems for Networks of Dynamic Agents", IEEE Transactions on Automatic Control, Vol. 55, No. 4, 2010, pp. 950-955.   DOI
20 Bhat, S. and Bernstein, D., "Finite-Time Stability of Continuous Autonomous System", SIAM Journal on Control and Optimization, Vol. 38, No. 3, 2000, pp. 751-766.   DOI
21 Huang, X. Q., Lin, W. and Yang, B., "Global Finite-Time Stabilization of a Class of Uncertain Nonlinear Systems", Automatica, Vol. 41, No. 5, 2005, pp. 881-888.   DOI
22 Bhat, S. P. and Berstein, D. S., "Finite-Time Stability of Continuous Autonomous Systems", Society for Industrial and Applied Mathematics, Vol. 38, No. 2, 2000, pp. 751-766.
23 Rouche, N., Habets, P. and Laloy, M., Stability Theory by Lyapunov's Direct Method, Springer-Verlag, New York, 1977.
24 Wang, X. and Hong, Y., "Distributed Finite-$Time_{\chi}$- Consensus Algorithms for Multi-Agent Systems with Variable Coupling Topology", Journal of Systems Science and Complexity, Vol. 23, No. 2, 2010, pp. 209-218.   DOI