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Distributed active anti-disturbance output consensus algorithms for higher-order multi-agent systems with mismatched disturbances. (English) Zbl 1348.93020

Summary: Different from most of the existing literature on anti-disturbance control for multi-agent systems with only matched disturbances, in this paper, the output consensus control problem of homogeneous higher-order integrator-chain multi-agent systems with mismatched disturbances is investigated. Such a problem is solved by using a distributed active anti-disturbance cooperative control scheme, which combines Sliding-Mode Control (SMC) and Disturbance Observer Based Control (DOBC) approaches together. First, a disturbance observer is constructed for each agent to estimate its mismatched/matched disturbances. Second, for each agent, by employing its own and neighbors’ mismatched disturbances estimates, dynamic sliding-mode surfaces are designed for leaderless and leader-follower cases, respectively. Third, based on the designed surfaces, composite sliding-mode consensus protocols are proposed for both cases, which guarantee output consensus of the agents with mismatched disturbances. Simulation results on a cooperative attack control example of multi-missile systems illustrate the effectiveness of the proposed consensus algorithms.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93B12 Variable structure systems
93B07 Observability
Full Text: DOI

References:

[1] Chen, W.-H., Nonlinear disturbance observer-enhanced dynamic inversion control of missiles, Journal of Guidance, Control, and Dynamamics, 26, 1, 161-166 (2003)
[2] Chen, W.-H.; Ballance, D. J.; Gawthrop, P. J.; O’Reilly, J., A nonlinear disturbance observer for robotic manipulators, IEEE Transactions on Industrial Electronics, 47, 4, 932-938 (2000)
[3] DeLellis, P.; di Bernardo, M.; Liuzza, D., Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systems, Automatica, 56, 1-11 (2015) · Zbl 1323.93005
[4] Ding, Z., Consensus disturbance rejection with disturbance observers, IEEE Transactions on Industrial Electronics, 62, 9, 5829-5837 (2015)
[5] Hong, Y.; Hu, J.; Gao, L., Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 42, 7, 1177-1182 (2006) · Zbl 1117.93300
[6] Hu, Y.; Su, H.; Lam, J., Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity, International Journal of Robust and Nonlinear Control, 23, 9, 978-990 (2013) · Zbl 1270.93004
[7] Khalil, H. K., Nonlinear systems (2002), Prentice Hall: Prentice Hall New York · Zbl 0626.34052
[8] Khoo, S.; Xie, L.; Man, Z., Robust finite-time consensus tracking algorithm for multirobot systems, IEEE/ASME Transactions on Mechatronics, 14, 2, 219-228 (2009)
[9] Khoo, S.; Xie, L.; Zhao, S.; Man, Z., Multi-surface sliding control for fast finite-time leader-follower consensus with high order SISO uncertain nonlinear agents, International Journal of Robust and Nonlinear Control, 24, 16, 2388-2404 (2014) · Zbl 1302.93061
[10] Kim, K. S.; Rew, K. H.; Kim, S., Disturbance observer for estimating higher order disturbance in time series expansion, IEEE Transactions on Automatic Control, 55, 8, 1905-1911 (2010) · Zbl 1368.93123
[11] Li, Z.; Duan, Z.; Lewis, F. L., Distributed robust consensus control of multi-agent systems with heterogeneous matching uncertainties, Automatica, 50, 3, 883-889 (2014) · Zbl 1298.93026
[12] Li, P.; Qin, K.; Shi, M., Distributed robust \(H_\infty\) rotating consensus control for directed networks of second-order agents with mixed uncertainties and time-delay, Neurocomputing, 148, 332-339 (2015)
[13] Li, S.; Sun, H.; Yang, J.; Yu, X., Continuous finite-time output regulation for disturbed systems under mismatching condition, IEEE Transactions on Automic Control, 60, 1, 277-282 (2015) · Zbl 1360.93255
[14] Li, S.; Wang, X., Finite-time consensus and collision avoidance control algorithms for multiple AUVs, Automatica, 49, 11, 3359-3367 (2013) · Zbl 1315.93004
[15] Li, S.; Yang, J.; Chen, W.-H.; Chen, X., Disturbance observer-based control: Methods and applications (2014), CRC Press: CRC Press Boca Raton
[16] Olfati-Saber, R.; Murray, R. M., Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49, 9, 1520-1533 (2004) · Zbl 1365.93301
[17] Peymani, E.; Grip, H. F.; Saberi, A., Homogeneous networks of non-introspective agents under external disturbances \(H_\infty\) almost synchronization, Automatica, 52, 363-372 (2015) · Zbl 1309.93016
[18] Ren, W.; Beard, R. W., Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50, 5, 655-661 (2005) · Zbl 1365.93302
[19] Shen, Q.; Shi, P., Distributed command filtered backstepping consensus tracking control of nonlinear multiple-agent systems in strict-feedback form, Automatica, 53, 120-124 (2015) · Zbl 1371.93019
[20] Su, Y., Leader-following rendezvous with connectivity preservation and disturbance rejection via internal model approach, Automatica, 57, 203-212 (2015) · Zbl 1330.93017
[21] Su, H.; Chen, M. Z.Q.; Wang, X.; Lam, J., Semiglobal observer-based leader-following consensus with input saturation, IEEE Transactions on Industrial Electronics, 61, 6, 2842-2850 (2014)
[22] Wang, X.; Li, S.; Shi, P., Distributed finite-time containment control for double-integrator multiagent systems, IEEE Transactions on Cybernetics, 44, 9, 1518-1528 (2014)
[23] Wang, X.; Xu, D.; Hong, Y., Consensus control of nonlinear leader-follower multi-agent systems with actuating disturbances, Systems & Control Letters, 73, 58-66 (2014) · Zbl 1297.93018
[24] Yang, J.; Li, S.; Yu, X., Sliding-mode control for systems with mismatched uncertainties via a disturbance observer, IEEE Transactions on Industrial Electronics, 60, 1, 160-169 (2013)
[25] Yang, T.; Meng, Z.; Dimarogonas, D. V.; Johansson, K. H., Global consensus for discrete-time multi-agent systems with input saturation constraints, Automatica, 50, 2, 499-506 (2014) · Zbl 1364.93036
[26] Yang, H.; Zhang, Z.; Zhang, S., Consensus of second-order multi-agent systems with exogenous disturbances, International Journal of Robust Nonlinear Control, 21, 9, 945-956 (2011) · Zbl 1215.93014
[27] Yanushevsky, R., Modern missile guidance (2007), CRC Press: CRC Press Boca Raton
[28] Zarchan, P., Tactical and strategic missile guidance (2007), AIAA, Reston: AIAA, Reston Washington DC
[29] Zeng, H.; Sepehri, N., Nonlinear position control of cooperative hydraulic manipulators handling unknown payloads, International Journal of Control, 78, 3, 196-207 (2005) · Zbl 1074.93543
[30] Zhang, X.; Liu, X., Further results on consensus of second-order multi-agent systems with exogenous disturbance, IEEE Transactions on Circuits and Systems I: Regular Papers, 60, 12, 3215-3226 (2013) · Zbl 1468.93046
[31] Zhao, D.; Zou, T.; Li, S.; Zhu, Q., Adaptive backsetpping sliding mode control for leader-follower multi-agent systems, IET Control Theory & Applications, 6, 8, 1109-1117 (2012)
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