Abstract
In this paper, a distributed cooperative control protocol is presented to deal with actuator failures of multi-agent systems in the presence of connectivity preservation. With the developed strategy, each agent can track the reference trajectory of the leader in the presence of actuator failures, disturbances and uncertainties. The connectivity of the multi-agent system can always be ensured during the control process. To achieve the aforementioned control objectives, a potential function is introduced to the distributed adaptive fault-tolerant control algorithm to preserve the initial connected network among the agents. The uncertainty of the multi-agent system, which is allowed to be described by discontinuous functions, is approximated and compensated using the fuzzy logic system. The asymptotic stability of the closed-loop system is demonstrated through the use of Cellina’s approximate selection theorem of nonsmooth analysis. Due to the developed adaptive laws, the upper bound of the disturbance is allowed to be uncertain, which facilitates the implementation of the control scheme. Finally, simulation results are provided to verify the effectiveness of the proposed control scheme.
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Tang Y, Xing X, Karimi H R, et al., Tracking control of networked multi-agent systems under new characterizations of impulses and its applications in robotic systems, IEEE Transactions on Industrial Electronics, 2015, 63(2): 1299–1307.
Li Y J, Tan C, Wu J X, et al., Stability analysis and group consensus tracking predictive control of multi-agent systems, Journal of Systems Science & Complexity, 2023, 36(5): 1851–1877.
Morstyn T, Hredzak B, and Agelidis V G, Cooperative multi-agent control of heterogeneous storage devices distributed in a DC microgrid, IEEE Transactions on Power Systems, 2015, 31(4): 2974–2986.
Ma H, Li J Y, Kumar T K S, et al., Lifelong multi-agent path finding for online pickup and delivery tasks, 2017, arXiv: 1705.10868.
Baxter J W, Horn G S, and Leivers DP, Fly-by-agent: Controlling a pool of uavs via a multi-agent system, Proceedings of the International Conference on Innovative Techniques and Applications of Artificial Intelligence, Cambridge, 2007, 219–230.
Ren W and Atkins E, Second-order consensus protocols in multiple vehicle systems with local interactions, Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, San Francisco, 2005.
Cai H and Huang J, The leader-following attitude control of multiple rigid spacecraft systems, Automatica, 2014, 50(4): 1109–1115.
Deng C, Wen C Y, Wang W, et al., Distributed adaptive tracking control for high-order nonlinear multi-agent systems over event-triggered communication, IEEE Transactions on Automatic Control, 2022, 68(2): 1176–1183.
Liu Z J, Lu Z Q, Zhao Z J, et al., Single parameter adaptive neural network control for multi-agent deployment with prescribed tracking performance, Automatica, 2023, 156: 111207.
Qi W, Ji Z J, Liu Y G, et al., Strong structural controllability based on leader-follower framework, Journal of Systems Science & Complexity, 2023, 36(4): 1498–1518.
Fang X, Xie L H, and Li X L, Distributed localization in dynamic networks via complex Laplacian, Automatica, 2023, 151: 110915.
Chen W, Hua S, and Ge S S, Consensus-based distributed cooperative learning control for a group of discrete-time nonlinear multi-agent systems using neural networks, Automatica, 2014, 50(9): 2254–2268.
Li K W and Li Y M, Fuzzy adaptive optimal consensus fault-tolerant control for stochastic nonlinear multi-agent systems, IEEE Transactions on Fuzzy Systems, 2022, 30(8): 2870–2885.
Zhao Z J, Tan Z F, Liu Z J, et al., Adaptive inverse compensation fault-tolerant control for a flexible manipulator with unknown dead-zone and actuator faults, IEEE Transactions on Industrial Electronics, 2023, 70(12): 12698–12707.
Xing X Y and Liu J K, Robust adaptive control allocation for a class of cascade ODE-string systems with actuator failures, IEEE Transactions on Automatic Control, 2021, 67(3): 1474–1481.
Hua Y Z, Dong X W, Li Q D, et al., Distributed fault-tolerant time-varying formation control for second-order multi-agent systems with actuator failures and directed topologies, IEEE Transactions on Circuits and Systems II: Express Briefs, 2018, 65(6): 774–778.
Song G, Shi P, and Lim C P, Distributed fault-tolerant cooperative output regulation for multiagent networks via fixed-time observer and adaptive control, IEEE Transactions on Control of Network Systems, 2022, 9(2): 845–855.
Saboori I and Khorasani K, Actuator fault accommodation strategy for a team of multi-agent systems subject to switching topology, Automatica, 2015, 62: 200–207.
Guo X G, Liu P M, Wang J L, et al., Event-triggered adaptive fault-tolerant pinning control for cluster consensus of heterogeneous nonlinear multi-agent systems under aperiodic DoS attacks, IEEE Transactions on Network Science and Engineering, 2021, 8(2): 1941–1956.
Zhao L and Yang G H, Cooperative adaptive fault-tolerant control for multi-agent systems with deception attacks, Journal of the Franklin Institute, 2020, 357(6): 3419–3433.
Ajorlou A, Momeni A, and Aghdam A G, A class of bounded distributed control strategies for connectivity preservation in multi-agent systems, IEEE Transactions on Automatic Control, 2010, 55(12): 2828–2833.
Feng Z, Sun C, and Hu G Q, Robust connectivity preserving rendezvous of multirobot systems under unknown dynamics and disturbances, IEEE Transactions on Control of Network Systems, 2017, 4(4): 725–735.
Wei C, Gui M, Zhang M, et al., Adaptive appointed-time consensus control of networked Euler-Lagrange systems with connectivity preservation, IEEE Transactions on Cybernetics, 2021, 52(11): 12379–12392.
Mehdifar F, Bechlioulis C P, Hashemzadeh F, et al., Prescribed performance distance-based formation control of multi-agent systems, Automatica, 2020, 119: 109086.
Park B S and Yoo S J, Connectivity-maintaining and collision-avoiding performance function approach for robust leader-follower formation control of multiple uncertain underactuated surface vessels, Automatica, 2021, 127: 109501.
Ajorlou A, Momeni A, and Aghdam A G, A class of bounded distributed control strategies for connectivity preservation in multi-agent systems, IEEE Transactions on Automatic Control, 2010, 55(12): 2828–2833.
Zavlanos M M and Pappas G J, Potential fields for maintaining connectivity of mobile networks, IEEE Transactions on Robotics, 2007, 23(4): 812–816.
Su S and Lin Z, Connectivity enhancing coordinated tracking control of multi-agent systems with a state-dependent jointly-connected dynamic interaction topology, Automatica, 2019, 101: 431–438.
Karkoub M, Atinc G, Stipanovic D, et al., Trajectory tracking control of unicycle robots with collision avoidance and connectivity maintenance, Journal of Intelligent & Robotic Systems, 2019, 96(3): 331–343.
Olfati-Saber R, Flocking for multi-agent dynamic systems: Algorithms and theory, IEEE Transactions on Automatic Control, 2006, 51(3): 401–420.
Yoo B K and Ham W C, Adaptive control of robot manipulator using fuzzy compensator, IEEE Transactions on Fuzzy Systems, 2000, 8(2): 186–199.
Shen T L, Analysis and control of discontinuous dynamical systems, 2007 Chinese Control Conference, Zhangjiajie, 2007, 37–45.
Fischer N, Kamalapurkar R, and Dixon W E, Lasalle-yoshizawa corollaries for nonsmooth systems, IEEE Transactions on Automatic Control, 2013, 58(9): 2333–2338.
Aubin J P and Cellina A, Differential Inclusions: Set-Valued Maps and Viability Theory, Springer Science & Business Media, Heidelberg, 2012.
Zhao X, Wang X, Zong G, et al., Fuzzy-approximation-based adaptive output-feedback control for uncertain nonsmooth nonlinear systems, IEEE Transactions on Fuzzy Systems, 2018, 26(6): 3847–3859.
Makkar C, Hu G, Sawyer W G, et al., Lyapunov-based tracking control in the presence of uncertain nonlinear parameterizable friction, IEEE Transactions on Automatic Control, 2007, 52(10): 1988–1994.
Hu G, Robust consensus tracking of a class of second-order multi-agent dynamic systems, Systems & Control Letters, 2012, 61(1): 134–142.
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This research was supported by the RIE2020 Industry Alignment Fund Industry Collaboration Projects (IAF-ICP) Funding Initiative, as well as cash and in-kind contribution from the industry partner(s).
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Xing, X., Hu, G. Distributed Fault-Tolerant Control of Uncertain Multi-Agent Systems with Connectivity Maintenance. J Syst Sci Complex 37, 40–62 (2024). https://doi.org/10.1007/s11424-024-3436-1
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DOI: https://doi.org/10.1007/s11424-024-3436-1