Distributed Newton and Quasi-Newton methods for formation control of autonomous vehicles

References

• Bertsekas DP, Tsitsiklis JN. 1989. Parallel and distributed computation. Englewood Cliffs, NJ: Prentice Hall.
   Google Scholar
• Boyd S, Vandenberghe L. 2004. Convex optimization. Cambridge, UK: Cambridge University Press.
   Google Scholar
• Cao Y, Stuart D, Ren W, Meng Z. 2011 Jul. Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments. IEEE Trans Control Syst Technol. 19(4):929–938. doi: 10.1109/TCST.2010.2053542
   Web of Science ®Google Scholar
• Cui R, Ge SS, How BVE, Choo YS. 2010 Dec. Leader-follower formation control of underactuated autonomous underwater vehicles. Ocean Engin. 37(17–18):1491–1502. doi: 10.1016/j.oceaneng.2010.07.006
   Web of Science ®Google Scholar
• Dennis JE, Moré JJ. 1974 Apr. A characterization of superlinear convergence and its application to Quasi-Newton methods. Math Comput. 28(126):549–560. doi: 10.1090/S0025-5718-1974-0343581-1
   Web of Science ®Google Scholar
• Duchi JC, Agarwal A, Wainwright MJ. 2012. Dual averaging for distributed optimization: convergence anlysis and network scaling. IEEE Trans Autom Control. 57(3):592–606. doi: 10.1109/TAC.2011.2161027
   Web of Science ®Google Scholar
• Fax JA, Murray RM. 2004 Sep. Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control. 49(9):1465–1476. doi: 10.1109/TAC.2004.834433
   Web of Science ®Google Scholar
• Fossen TI. 1994. Guidance and control of ocean vehicles. 2nd ed. Chichester, UK: John Wiley and Sons Ltd.
   Google Scholar
• Gu D. 2008 Jan. A differential game approach to formation control. IEEE Trans Control Syst Technol. 16(1):85–93. doi: 10.1109/TCST.2007.899732
   Web of Science ®Google Scholar
• Gu D, Wang Z. 2009 Sep. Leader-follower flocking: algorithms and experiments. IEEE Trans Control Syst Technol. 17(5):1211–1219. doi: 10.1109/TCST.2008.2009461
   Web of Science ®Google Scholar
• He W, Qian F, Lam J, Chen G, Han Q-L, Kurths J. 2015 Dec. Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: error estimation, optimization and design. Automatica. 62:249–262. doi: 10.1016/j.automatica.2015.09.028
   Web of Science ®Google Scholar
• Hou SP, Cheah CC. 2011 Sep. Can a simple control scheme work for a formation control of multiple autonomous underwater vehicles?. IEEE Trans Control Syst Technol. 19(5):1090–1101. doi: 10.1109/TCST.2010.2076388
   Web of Science ®Google Scholar
• Jadbabaie A, Ozdaglar A, Zargham M. 2009. “A distributed Newton method for network optimization,” in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai: p. 2736–2741.
   Google Scholar
• Jia Y, Wang L. 2015 Jun. Leader-follower flocking of multiple robotic fish. IEEE/AMSE Trans Mechatronics. 20(3):1372–1383. doi: 10.1109/TMECH.2014.2337375
   Web of Science ®Google Scholar
• Lee S-M, Kim H, Myung H, Yao X. 2015 Jan. Cooperative coevolutionary algorithm-based model predictive control guaranteeing stability of multirobot formation. IEEE Trans Control Syst Technol. 23(1):37–51. doi: 10.1109/TCST.2014.2312324
   Web of Science ®Google Scholar
• Lewis MA, Tan K-H. 1997 Oct. High precision formation control of mobile robots using virtual structures. Auton Robots. 4(4):387–403. doi: 10.1023/A:1008814708459
   Web of Science ®Google Scholar
• Millán P, Orihuela L, Jurado I, Rubio FR. 2014 Mar. Formation control of autonomous underwater vehicles subject to communication delays. IEEE Trans Control Syst Technol. 22(2):770–777. doi: 10.1109/TCST.2013.2262768
   Web of Science ®Google Scholar
• Mokhtari A, Ling Q, Ribeiro A. 2014 Dec. “Network Newton,” [Online]. Available: http://arxiv.org/abs/1412.3740.
   Google Scholar
• Moore BJ, Canudas-de-Wit C. 2009. “Formation control via distributed optimization of alignment error,” in Proceedings of the 48th IEEE Conference Decision and Control, Shanghai: p. 3075–3080.
   Google Scholar
• Nedić A, Ozdaglar A. 2009 Jan. Distributed subgradient methods for multi-agent optimization. IEEE Trans Autom Control. 54(1):48–61. doi: 10.1109/TAC.2008.2009515
   Web of Science ®Google Scholar
• Nocedal J, Wright S. 2006. Numerical optimization. 2nd ed. New York: Springer Series in Operations Research, Springer Science and Business Media, LLC.
   Google Scholar
• Oha K-K, Park M-C, Ahn H-S. 2015 Mar. A survey of multi-agent formation control. Automatica. 53:424–440. doi: 10.1016/j.automatica.2014.10.022
   Web of Science ®Google Scholar
• Olfati-Saber R, Fax JA, Murray RM. 2007 Jan. Consensus and cooperation in networked multi-agent systems. Proc IEEE. 95(1):215–233. doi: 10.1109/JPROC.2006.887293
   Web of Science ®Google Scholar
• Poonawala HA, Satici AC, Eckert H, Spong MW. 2015 Jun. Collision-free formation control with decentralized connectivity preservation for nonholonomic-wheeled mobile robots. IEEE Trans Control Netw Syst. 2(2):122–130. doi: 10.1109/TCNS.2014.2378876
   Web of Science ®Google Scholar
• Raffard RL, Tomlin CJ, Boyd SP. 2004. “Distributed optimization for cooperative agents: Application to formation flight,” in Proceedings of the 43rd IEEE Conference on Decision and Control, p. 2453–2459, Paradise Island.
   Google Scholar
• Ren W. 2007 Jun. Multi-vehicle consensus with a time-varying reference state. Syst Control Lett. 56(7–8):474–483. doi: 10.1016/j.sysconle.2007.01.002
   Web of Science ®Google Scholar
• Saad Y. 2003. Iterative methods for sparse linear systems. 2nd ed. Philadelphia, PA: SIAM.
   Google Scholar
• Yang H, Wang C, Zhang F. 2013 Jun. “Robust geometric formation control of multiple autonomous underwater vehicles with time delays,” in Proceedings of the American Control Confernce, p. 1380–1385.
   Google Scholar
• Yang H, Zhang F. 2010 May. “Geometric formation control for autonomous underwater vehicles,” in Proceedings of the 2005 IEEE International Conference on Robotics and Automation, p. 4288–4293.
   Google Scholar
• Zargham M, Ribeiro A, Ozdaglar A, Jadbabaie A. 2014 Apr. Accelerated dual descent for network flow optimization. IEEE Trans Autom Control. 59(4):905–920. doi: 10.1109/TAC.2013.2293221
   Web of Science ®Google Scholar
• Zhu M, Martínez S. 2014 Oct. On attack-resilient distributed formation control in operator-vehicle networks. SIAM J Control Optim. 52(5):3176–3202. doi: 10.1137/110843332
   Web of Science ®Google Scholar