Abstract
In this work, we propose a high-order control barrier functions (HOCBFs) based safe formation tracking controller for second-order multi-agent systems subject to input uncertainties and both velocity and input constraints (VICs). First, a nominal velocity and input constrained formation tracking controller is proposed which using sliding mode control theory to eliminate the effects of the uncertain dynamics. Then, the HOCBFs-based collision avoidance conditions are derived for the followers where both collision among the agents and between the agents and the obstacles are considered. Finally, the collision avoidance formation tracking controller for the constrained uncertain second-order multi-agent systems is constructed by formulating a local quadratic programming (QP) problem for each follower. It is shown that under proper initial conditions, there always exist feasible control inputs such that collision avoidance can be guaranteed under both VICs of the agents. Simulation examples illustrate the effectiveness of the proposed control strategy.
Supported by the National Natural Science Foundation of China under Grant No. 62173085.
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References
Cao, Y., Yu, W., Ren, W., Chen, G.: An overview of recent progress in the study of distributed multi-agent coordination. IEEE Trans. Industr. Inf. 9(1), 427–438 (2013)
Oh, K.K., Park, M.C., Ahn, H.S.: A survey of multi-agent formation control. Automatica 53, 424–440 (2015)
Wang, L., He, H., Zeng, Z., Ge, M.: Model-independent formation tracking of multiple Euler-Lagrange systems via bounded inputs. IEEE Trans. Cybern. 51(5), 2813–2823 (2021)
Fu, J., Wen, G., Yu, W., Huang, T.: Consensus of second-order multi-agent systems with both velocity and input constraints. IEEE Trans. Industr. Electron. 66(10), 7946–7955 (2019)
Mastellone, S., Stipanović, D.M., Graunke, C.R., Intlekofer, K.A., Spong, M.W.: Formation control and collision avoidance for multi-agent non-holonomic systems: theory and experiments. Int. J. Robot. Res. 27(1), 107–126 (2008)
Peng, Z., Wang, D., Li, T., Han, M.: Output-feedback cooperative formation maneuvering of autonomous surface vehicles with connectivity perservation and collision avoidance. IEEE Trans. Cybern. 50(6), 2527–2535 (2020)
Murry, R.M., Dunbar, W.B.: Distributed receding horizon control for multi-vehicle formation stabilization. Automatica 42(4), 549–558 (2016)
Wang, P., Ding, B.: A synthesis approach of distributed model predictive control of for homogeneous multi-agent system with collision avoidance. Int. J. Control 87(1), 52–63 (2014)
Borrmann, U., Wang, L., Ames, A.D., Egerstedt, M.: Control barrier certificates for safe swarm behavior. IFAC-PapersOnLine 48(27), 68–73 (2015)
Wang, L., Ames, A.D., Egerstedt, M.: Safety barrier certificates for collisions-free multirobot systems. IEEE Trans. Rob. 33(3), 661–674 (2017)
Fu, J., Lv, Y., Wen, G., Yu, X., Huang, T.: Velocity and input constrained coordination of second-order multi-agent systems with relative output information. IEEE Trans. Network Sci. Eng. 7(3), 1925–1938 (2020)
Wei, X., Belta, C.: High order control barrier functions. IEEE Trans. Autom. Control 67(7), 3655–3662 (2022)
Fu, J., Wen, G., Yu, X., Huang, T.: Robust collision-avoidance formation navigation of velocity and input-constrained multirobot systems. IEEE Trans. Cybern., 1–13 (2023)
Zhang, H., Li, Z., Qu, Z., Lewis, F.L.: On constructing Lyapunov functions for multi-agent systems. Automatica 58, 39–42 (2015)
Alan, A., Taylor, A.J., He, C.R., Orosz, G., Ames, A.D.: Safe controller synthesis with tunable input-to-state safe control barrier functions. IEEE Control Syst. Lett. 6, 908–913 (2022)
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Liu, D., Fu, J. (2024). High-Order Control Barrier Function Based Robust Collision Avoidance Formation Tracking of Constrained Multi-agent Systems. In: Luo, B., Cheng, L., Wu, ZG., Li, H., Li, C. (eds) Neural Information Processing. ICONIP 2023. Lecture Notes in Computer Science, vol 14447. Springer, Singapore. https://doi.org/10.1007/978-981-99-8079-6_20
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DOI: https://doi.org/10.1007/978-981-99-8079-6_20
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