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Finite-time optimal consensus control for second-order multi-agent systems
1. | School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China |
2. | School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China |
References:
[1] |
E. A. Blanchard, R. C. Loxton and V. Rehbock, A computational algorithm for a class of non-smooth optimal control problems arising in aquaculture operations, Applied Mathematics and Computation, 219 (2013), 8738-8746.
doi: 10.1016/j.amc.2013.02.070. |
[2] |
Y. C. Cao and W. Ren, Optimal linear-consensus algorithms: An LQR perspective, IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, 40 (2010), 810-830. |
[3] |
R. Carli, G. Como, P. Frasca and F. Garin, Distributed averaging on digital erasure networks, Automatica J. IFAC, 47 (2011), 115-121.
doi: 10.1016/j.automatica.2010.10.015. |
[4] |
T. Dierks, Formation Control of Mobile Robots and Unmanmed Aerial Vehicles, Ph.D thesis, Missouri University of Science and Technology, 2009. |
[5] |
J. Fax and M. Murray, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49 (2004), 1465-1476.
doi: 10.1109/TAC.2004.834433. |
[6] |
V. Gazi and K. M. Passino, Stability analysis of social foraging swarms, IEEE Transactions on Systems Man Cybernet., 34 (2004), 539-557.
doi: 10.1109/TSMCB.2003.817077. |
[7] |
V. Gupta, V. Hassibi and R. M. Murray, On sensor fusion in the presence of packet-dropping communication channels, in 44th IEEE Conference on Decision and Control, 2005, 3547-3552.
doi: 10.1109/CDC.2005.1582712. |
[8] |
D. Jakovetic, J. Xavier and J. M. F. Moura, Cooperative convex optimization in networked systems: Augmented Lagrangian algorithms with directed Gossip communication, IEEE Transactions on Signal Processing, 59 (2011), 3889-3902.
doi: 10.1109/TSP.2011.2146776. |
[9] |
C. H. Jiang, Q. Lin, C. J. Yu, K. L. Teo and G.-R. Duan, An exact penalty method for free terminal time optimal control problem with continuous inequality constraints, J. Optim. Theory Appl., 154 (2012), 30-53.
doi: 10.1007/s10957-012-0006-9. |
[10] |
P. Lin and Y. M. Jia, Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies, Automatica J. IFAC, 45 (2009), 2154-2158.
doi: 10.1016/j.automatica.2009.05.002. |
[11] |
Y. Liu and K. M. Passino, Stable social foraging swarms in a noisy environment, IEEE Transactions on Automatic Control, 49 (2004), 30-44.
doi: 10.1109/TAC.2003.821416. |
[12] |
R. C. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of switched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 2455-2460.
doi: 10.1109/TAC.2009.2029310. |
[13] |
R. C. Loxton, K. L. Teo, V. Rehbock and K. F. C. Yiu, Optimal control problems with a continuous inequality constraint on the state and control, Automatica J. IFAC, 45 (2009), 2250-2257.
doi: 10.1016/j.automatica.2009.05.029. |
[14] |
R. C. Loxton, K. L. Teo and V. Rehbock, Optimal control problems with multiple characteristic time points in the objective and constraints, Automatica J. IFAC, 44 (2008), 2923-2929.
doi: 10.1016/j.automatica.2008.04.011. |
[15] |
R. Olfati-Saber, J. A. Fax and R. M. Murray, Consensus and cooperation in networked multi-agent systems, Proceedings of IEEE, 95 (2007), 215-233.
doi: 10.1109/JPROC.2006.887293. |
[16] |
R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49 (2004), 1520-1533.
doi: 10.1109/TAC.2004.834113. |
[17] |
R. Olfati-Saber and J. S. Shamma, Consensus filters for sensor networks and distributed sensor fusion, in 44th IEEE Conference on Decision and Control, 2005, 6698-6703.
doi: 10.1109/CDC.2005.1583238. |
[18] |
W. Ren and R. Beard, Consensus seeking in multi-agent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50 (2005), 655-661.
doi: 10.1109/TAC.2005.846556. |
[19] |
W. Ren, R. W. Beard and E. M. Atkins, Information consensus in multivehicle cooperative control: Collective group behavior through local interaction, IEEE Control System Magazine, 27 (2007), 71-82. |
[20] |
H. Sayyaadi and M. R. Doostmohammadian, Finite-time consensus in directed switching network topologies and time-delayed communications, Scientia Iranica, 18 (2011), 75-85.
doi: 10.1016/j.scient.2011.03.010. |
[21] |
E. Semsar and K. Khorasani, Optimal control and game theoretic approaches to cooperative control of a team of multi-vehicle unmanned systems, in Proceedings of the 2007 IEEE International Conference on, Networking, Sensing and Control, London, 2007, 628-633.
doi: 10.1109/ICNSC.2007.372852. |
[22] |
A. Tahbaz-Salehi and A. Jadbabaie, A necessary and sufficient condition for consensus over random networks, IEEE Transactions on Automatic Control, 53 (2008), 791-795.
doi: 10.1109/TAC.2008.917743. |
[23] |
K. L. Teo, L. S. Jennings, H. W. J. Lee and V. Rehbock, The control parameterization enhancing transform for constrained optimal control problems, Journal of the Australian Mathematical Society, Series B, 40 (1999), 314-335.
doi: 10.1017/S0334270000010936. |
[24] |
K. L. Teo, C. J. Goh and K. H. Wong, A unified computational approach to optimal control problems, in World Congress of Nonlinear Analysts '92, De Gruyter, 1996, 2763-2774.
doi: 10.1515/9783110883237.2763. |
[25] |
L. Wang and F. Xiao, Finite-time consensus problems for networks of dynamic agents, IEEE Transactions on Automatic Control, 55 (2010), 950-955.
doi: 10.1109/TAC.2010.2041610. |
[26] |
X. L. Wang and Y. G. Hong, Finite-time consensus for multi-agent networks with second-order agent dynamics, in Proceedings of the 17th IFAC World Congress, The International Federation of Automatic Control, 2008, 15185-15190. |
[27] |
F. Xiao and L. Wang, Consensus protocols for discrete-time multi-agent systems with time-varying delays, Automatica J. IFAC, 44 (2008), 2577-2582.
doi: 10.1016/j.automatica.2008.02.017. |
[28] |
L. Xiao and S. Boyd, Fast linear iterations for distributed averaging, Systems Control Letters, 53 (2004), 65-78.
doi: 10.1016/j.sysconle.2004.02.022. |
[29] |
W. Zhang and J. H. Hu, Optimal multi-agent coordination under tree formation constraints, IEEE Transactions on Automatic Control, 53 (2008), 692-705.
doi: 10.1109/TAC.2008.919855. |
show all references
References:
[1] |
E. A. Blanchard, R. C. Loxton and V. Rehbock, A computational algorithm for a class of non-smooth optimal control problems arising in aquaculture operations, Applied Mathematics and Computation, 219 (2013), 8738-8746.
doi: 10.1016/j.amc.2013.02.070. |
[2] |
Y. C. Cao and W. Ren, Optimal linear-consensus algorithms: An LQR perspective, IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, 40 (2010), 810-830. |
[3] |
R. Carli, G. Como, P. Frasca and F. Garin, Distributed averaging on digital erasure networks, Automatica J. IFAC, 47 (2011), 115-121.
doi: 10.1016/j.automatica.2010.10.015. |
[4] |
T. Dierks, Formation Control of Mobile Robots and Unmanmed Aerial Vehicles, Ph.D thesis, Missouri University of Science and Technology, 2009. |
[5] |
J. Fax and M. Murray, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49 (2004), 1465-1476.
doi: 10.1109/TAC.2004.834433. |
[6] |
V. Gazi and K. M. Passino, Stability analysis of social foraging swarms, IEEE Transactions on Systems Man Cybernet., 34 (2004), 539-557.
doi: 10.1109/TSMCB.2003.817077. |
[7] |
V. Gupta, V. Hassibi and R. M. Murray, On sensor fusion in the presence of packet-dropping communication channels, in 44th IEEE Conference on Decision and Control, 2005, 3547-3552.
doi: 10.1109/CDC.2005.1582712. |
[8] |
D. Jakovetic, J. Xavier and J. M. F. Moura, Cooperative convex optimization in networked systems: Augmented Lagrangian algorithms with directed Gossip communication, IEEE Transactions on Signal Processing, 59 (2011), 3889-3902.
doi: 10.1109/TSP.2011.2146776. |
[9] |
C. H. Jiang, Q. Lin, C. J. Yu, K. L. Teo and G.-R. Duan, An exact penalty method for free terminal time optimal control problem with continuous inequality constraints, J. Optim. Theory Appl., 154 (2012), 30-53.
doi: 10.1007/s10957-012-0006-9. |
[10] |
P. Lin and Y. M. Jia, Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies, Automatica J. IFAC, 45 (2009), 2154-2158.
doi: 10.1016/j.automatica.2009.05.002. |
[11] |
Y. Liu and K. M. Passino, Stable social foraging swarms in a noisy environment, IEEE Transactions on Automatic Control, 49 (2004), 30-44.
doi: 10.1109/TAC.2003.821416. |
[12] |
R. C. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of switched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 2455-2460.
doi: 10.1109/TAC.2009.2029310. |
[13] |
R. C. Loxton, K. L. Teo, V. Rehbock and K. F. C. Yiu, Optimal control problems with a continuous inequality constraint on the state and control, Automatica J. IFAC, 45 (2009), 2250-2257.
doi: 10.1016/j.automatica.2009.05.029. |
[14] |
R. C. Loxton, K. L. Teo and V. Rehbock, Optimal control problems with multiple characteristic time points in the objective and constraints, Automatica J. IFAC, 44 (2008), 2923-2929.
doi: 10.1016/j.automatica.2008.04.011. |
[15] |
R. Olfati-Saber, J. A. Fax and R. M. Murray, Consensus and cooperation in networked multi-agent systems, Proceedings of IEEE, 95 (2007), 215-233.
doi: 10.1109/JPROC.2006.887293. |
[16] |
R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49 (2004), 1520-1533.
doi: 10.1109/TAC.2004.834113. |
[17] |
R. Olfati-Saber and J. S. Shamma, Consensus filters for sensor networks and distributed sensor fusion, in 44th IEEE Conference on Decision and Control, 2005, 6698-6703.
doi: 10.1109/CDC.2005.1583238. |
[18] |
W. Ren and R. Beard, Consensus seeking in multi-agent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50 (2005), 655-661.
doi: 10.1109/TAC.2005.846556. |
[19] |
W. Ren, R. W. Beard and E. M. Atkins, Information consensus in multivehicle cooperative control: Collective group behavior through local interaction, IEEE Control System Magazine, 27 (2007), 71-82. |
[20] |
H. Sayyaadi and M. R. Doostmohammadian, Finite-time consensus in directed switching network topologies and time-delayed communications, Scientia Iranica, 18 (2011), 75-85.
doi: 10.1016/j.scient.2011.03.010. |
[21] |
E. Semsar and K. Khorasani, Optimal control and game theoretic approaches to cooperative control of a team of multi-vehicle unmanned systems, in Proceedings of the 2007 IEEE International Conference on, Networking, Sensing and Control, London, 2007, 628-633.
doi: 10.1109/ICNSC.2007.372852. |
[22] |
A. Tahbaz-Salehi and A. Jadbabaie, A necessary and sufficient condition for consensus over random networks, IEEE Transactions on Automatic Control, 53 (2008), 791-795.
doi: 10.1109/TAC.2008.917743. |
[23] |
K. L. Teo, L. S. Jennings, H. W. J. Lee and V. Rehbock, The control parameterization enhancing transform for constrained optimal control problems, Journal of the Australian Mathematical Society, Series B, 40 (1999), 314-335.
doi: 10.1017/S0334270000010936. |
[24] |
K. L. Teo, C. J. Goh and K. H. Wong, A unified computational approach to optimal control problems, in World Congress of Nonlinear Analysts '92, De Gruyter, 1996, 2763-2774.
doi: 10.1515/9783110883237.2763. |
[25] |
L. Wang and F. Xiao, Finite-time consensus problems for networks of dynamic agents, IEEE Transactions on Automatic Control, 55 (2010), 950-955.
doi: 10.1109/TAC.2010.2041610. |
[26] |
X. L. Wang and Y. G. Hong, Finite-time consensus for multi-agent networks with second-order agent dynamics, in Proceedings of the 17th IFAC World Congress, The International Federation of Automatic Control, 2008, 15185-15190. |
[27] |
F. Xiao and L. Wang, Consensus protocols for discrete-time multi-agent systems with time-varying delays, Automatica J. IFAC, 44 (2008), 2577-2582.
doi: 10.1016/j.automatica.2008.02.017. |
[28] |
L. Xiao and S. Boyd, Fast linear iterations for distributed averaging, Systems Control Letters, 53 (2004), 65-78.
doi: 10.1016/j.sysconle.2004.02.022. |
[29] |
W. Zhang and J. H. Hu, Optimal multi-agent coordination under tree formation constraints, IEEE Transactions on Automatic Control, 53 (2008), 692-705.
doi: 10.1109/TAC.2008.919855. |
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