Abstract
In this paper the trajectory planning problem for unicycle robots is studied. This problem is particularly difficult to solve online due to its inherently nonlinear and nonconvex structure. The first aim of the paper is to overcome these difficulties using model predictive control (MPC) when a single robot is considered. Several requirements must be fulfilled by the optimal trajectory, such as respecting physical limitations as well as track constraints. The second aim of the paper is to extend the results to a group of robots using distributed MPC providing formation control and inter-robot collision avoidance.
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References
Oriolo, G., Luca, A.D., Vendittelli, M.: WMR control via dynamic feedback linearization: design, implementation, and experimental validation. IEEE Trans. Control Syst. Technol. 10(6), 835–852 (2002)
M’Closkey, R.T., Murray, R.M.: Exponential stabilization of driftless nonlinear control systems using homogeneous feedback. IEEE Trans. Autom. Control 42(5), 614–628 (1997)
Astolfi, A.: Discontinuous control of nonholonomic systems. Syst. Control Lett. 27(1), 37–45 (1996)
Pourboghrat, F.: Exponential stabilization of nonholonomic mobile robots. Comput. Electr. Eng. 28(5), 349–359 (2002)
Lee, T.C., Song, K.T., Lee, C.H., Teng, C.C.: Tracking control of unicycle-modeled mobile robots using a saturation feedback controller. IEEE Trans. Control Syst. Technol. 9(2), 305–318 (2001)
Gu, D., Hu, H.: A stabilizing receding horizon regulator for nonholonomic mobile robots. IEEE Trans. Robot. 21(5), 1022–1028 (2005)
Klančar, G., Škrjanc, I.: Tracking-error model-based predictive control for mobile robots in real time. Robot. Auton. Syst. 55(6), 460–469 (2007)
Cao, Z., Xie, L., Zhang, B., Wang, S., Tan, M.: Formation constrained multi-robot system in unknown environments. In: Proceedings of the 2003 IEEE International Conference Robotics and Automation, vol. 1, pp. 735–740. IEEE (2003)
Olfati-Saber, R.: Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans. Autom. Control 51(3), 401–420 (2006)
Perizzato, A., Farina, M., Scattolini, R.: Formation control and collision avoidance of unicycle robots with distributed predictive control. IFAC-PapersOnLine 48(23), 260–265 (2015)
Farina, M., Perizzato, A., Scattolini, R.: Application of distributed predictive control to motion and coordination problems for unicycle autonomous robots. Robot. Auton. Syst. 72, 248–260 (2015)
Negenborn, R.R., Maestre, J.: Distributed model predictive control: an overview and roadmap of future research opportunities. IEEE Control Syst. Mag. 34(4), 87–97 (2014)
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Costantini, G., Rostami, R., Görges, D. (2020). Online Trajectory Planning and Collision Avoidance for a Group of Robots Using Distributed Model Predictive Control. In: Berns, K., Görges, D. (eds) Advances in Service and Industrial Robotics. RAAD 2019. Advances in Intelligent Systems and Computing, vol 980. Springer, Cham. https://doi.org/10.1007/978-3-030-19648-6_28
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DOI: https://doi.org/10.1007/978-3-030-19648-6_28
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