Diaz, Yoshua | Instituto Politécnico Nacional |
Davila, Jorge | Instituto Politécnico Nacional |
https://doi.org/10.58571/CNCA.AMCA.2023.016
Resumen: This article presents a distributed control of unicycle mobile robots for the leader-follower configuration while maintaining a specific geometric distribution in the horizontal plane. The proposed control algorithm facilitates the formation of the follower robots with respect to the leader by using a quasi-sliding mode. The technique uses a pair of sliding variables, and the proposed controller guarantees the convergence of the sliding variables to a region close to zero. The particular formulation of these sliding variables ensures that their convergence to a bounded region around zero, provides asymptotic convergence of the formation errors towards a bounded region around the origin.
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¿Cómo citar?
Diaz, Yoshua; Davila, Jorge. Leader-Follower Formation of Unicycle Mobile Robots Using Quasi-Sliding Modes. Memorias del Congreso Nacional de Control Automático, pp. 86-91, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.016
Palabras clave
Control Discontinuo (modos deslizantes); Sistemas Multi-Agente; Control Robusto
Referencias
- Bhowmick, S. and Panja, S. (2019). Leader±follower bipartite consensus of linear multiagent systems over a signed directed graph. IEEE Transactions on Circuits and Systems II: Express Briefs, 66, 1436-1440.
- Damien, G. (2009). Unmanned Aerial Vehicle Formation Flight Using Sliding Mode Disturbance Observers. IntechOpen.
- Diaz, Y., Davila, J., and Mera, M. (2023). Leader-follower formation of unicycle mobile robots using sliding mode control. IEEE Control Systems Letters, 7, 883-888.
- Defoort, M., Demesure, G., Zuo, Z., Polyakov, A., and Djemai, M. (2016). Fixed-time stabilisation and consensus of nonholonomic systems. IET Control Theory & Applications, 10, 2497-2505.
- GonzAalez-Sierra, J., Dzul, A., and RAıos, H. (2019). Robust sliding-mode formation control and collision avoidance via repulsive vector fields for a group of quad-rotors. International Journal of Systems Science, 50, 1483-1500.
- GonzAalez-Sierra, J., RAıos, H., and Dzul, A. (2017). Leaderfollower robust formation control for quad-rotors via continuous sliding-modes. 2017 International Conference on Unmanned Aircraft Systems (ICUAS), 1850-1857.
- GonzAalez-Sierra, J., RAıos, H., and Dzul, A. (2020). Quad-rotor robust time-varying formation control: a continuous slidingmode control approach. International Journal of Control, 93, 1659-1676.
- Kamel, M.A., Yu, X., and Zhang, Y. (2020). Formation control and coordination of multiple unmanned ground vehicles in normal and faulty situations: A review. Annual Reviews in Control, 49, 128-144.
- Maghenem, M., Bautista, A., Nuño, E., LorAıa, A., and Panteley, E. (2019). Consensus of multiagent systems with nonholonomic restrictions via Lyapunov’s direct method. IEEE Control Systems Letters, 3, 344-349.
- Meng, D., Jia, Y., and Du, J. (2015). Robust consensus tracking control for multiagent systems with initial state shifts, disturbances, and switching topologies. IEEE Transactions on Neural Networks and Learning Systems, 26, 809-824.
- Mera, M., RAıos, H., and MartAınez, E.A. (2020). A slidingmode based controller for trajectory tracking of perturbed unicycle mobile robots. Control Engineering Practice, 102.
- Mesbahi, M. and Egerstedt, M. (2010). Graph Theoretic Methods in Multiagent Networks, 23-27. Princeton University Press, student edition.
- Oh, K.K., Park, M.C., and Ahn, H.S. (2015). A survey of multi-agent formation control. Automatica, 53, 424-440.
- Queiroz, M.D., Cai, X., and Feemster, M. (2019). Formation Control of Multi Agent Systems, 1± John Wiley & Sons. Shi, P. and Yan, B. (2021). A survey on intelligent control for multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51, 161-175.
- Zoghlami, N., Beji, L., Mlayeh, R., Abichou, A., and Jammazi, C. (2014). Finite-time consensus of networked nonlinear systems under directed graph. 2014 European Control Conference (ECC), 546-551.