Global optimal consensus for multi-agent systems with bounded controls

J. Cook, G. Hu, Experimental validation and algorithm of a multi-robot cooperative control method, in: Proceeding of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics, 2010, pp. 109–114 Klein, 2008, Autonomous underwater multivehicle control with limited communication: theory and experiment, IFAC Proc. Vol., 41, 113, 10.3182/20080408-3-IE-4914.00021 M. Alighanbari, J.P. How, Decentralized task assignment for unmanned aerial vehicles, in: Proceeding of the 44th IEEE Conference on Decision and Control and European Control Conference, 2005, pp. 5668–5673 Cortés, 2005, Coordination and geometric optimization via distributed dynamical systems, SIAM J. Control Optim., 44, 1543, 10.1137/S0363012903428652 Madan, 2006, Distributed algorithms for maximum lifetime routing in wireless sensor networks, IEEE Trans. on Wirel. Commun., 5, 2185, 10.1109/TWC.2006.1687734 Nedić, 2009, Distributed subgradient methods for multi-agent optimization, IEEE Trans. Automat. Control, 54, 48, 10.1109/TAC.2008.2009515 Nedić, 2010, Constrained consensus and optimization in multi-agent networks, IEEE Trans. Automat. Control, 55, 922, 10.1109/TAC.2010.2041686 Lin, 2016, Distributed multi-agent optimization subject to nonidentical constraints and communication delays, Automatica, 65, 120, 10.1016/j.automatica.2015.11.014 J. Wang, N. Elia, A control perspective for centralized and distributed convex optimization, in: Proceeding of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, pp. 3800–3805 G. Shi, K.H. Johansson, Y. Hong, Multi-agent systems reaching optimal consensus with time-varying communication graphs, in: American Control Conference, 2011, pp. 5456–5461 Kia, 2015, Distributed convex optimization via continuous-time coordination algorithms with discrete-time communication, Automatica, 55, 254, 10.1016/j.automatica.2015.03.001 Wang, 2016, Distributed optimization for a class of nonlinear multiagent systems with disturbance rejection, IEEE Trans. Cybern., 46, 1655, 10.1109/TCYB.2015.2453167 Y. Zhang, Y. Hong, Distributed optimization design for second-order multi-agent systems, in: Proceedings of the 33rd Chinese Control Conference, 2014, pp. 1755–1760 Wang, 2015, A second-order multi-agent network for bound-constrained distributed optimization, IEEE Trans. Automat. Control, 60, 3310, 10.1109/TAC.2015.2416927 Y. Zhang, Y. Hong, Distributed optimization design for high-order multi-agent systems, in: Proceedings of the 34th Chinese Control Conference, 2015, pp. 7251–7256 Li, 2011, Consensus problems for linear time-invariant multi-agent systems with saturation constraints, IET Control Theory Appl., 5, 823, 10.1049/iet-cta.2009.0299 Yang, 2014, Global consensus for discrete-time multi-agent systems with input saturation constraints, Automatica, 50, 499, 10.1016/j.automatica.2013.11.008 Meng, 2013, On global leader-following consensus of identical linear dynamic systems subject to actuator saturation, Systems Control Lett., 62, 132, 10.1016/j.sysconle.2012.10.016 Su, 2013, Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback, IEEE Trans. Circuits Syst. I. Regul. Pap., 60, 1881, 10.1109/TCSI.2012.2226490 Lin, 1999 Yang, 2014, Semi-global regulation of output synchronization for heterogeneous networks of non-introspective, invertible agents subject to actuator saturation, Internat. J. Robust Nonlinear Control, 24, 548, 10.1002/rnc.2905 Zhao, 2016, Global leader-following consensus of a group of multiple integrator agents using bounded controls, Automatica, 68, 294, 10.1016/j.automatica.2016.01.027 Jiang, 2009, Finite-time information consensus for multi-agent systems with fixed and switching topologies, Phys. D, 238, 1550, 10.1016/j.physd.2009.04.011 Godsil, 2001