Ariana Gutiérrez | Tecnológico Nacional de México/I.T. La Laguna |
Manuel Mera | Instituto Politécnico Nacional, ESIME-UPT |
Héctor Ríos | Cátedras CONACYT |
https://doi.org/10.58571/CNCA.AMCA.2022.024
Resumen: This paper aims to design a robust output control to regulate the output for an uncertain omnidirectional mobile robot with input saturation and state constraints, in the presence of external disturbances. The proposed robust control approach is composed of a linear control part, that is designed based on the attractive ellipsoid method and a barrier Lyapunov function approach, taking into account the input and state constraints, and a nonlinear control part that can compensate the effect of matched disturbances. The synthesis of the robust control is given in terms of linear matrix inequalities. Simulation results show the workability of the proposed robust control approach.
¿Cómo citar?
Ariana Gutiérrez, Manuel Mera & Héctor Ríos. Robust Output Regulation for a Constrained Omnidirectional Mobile Robot. Memorias del Congreso Nacional de Control Automático, pp. 19-24, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.024
Palabras clave
Control de Sistemas Lineales; Control Robusto; Control Discontinuo (modos deslizantes)
Referencias
- Boyd, S. and Vandenberghe (2009). Convex optimization. Los Angeles: Cambridge UniversityPress.
- Castaños, F. and Fridman, L. (2006). Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Transactions on Automatic Control, 51(5), 853–858.
- Dong, F., Jin, D., Zhao, X., and Han, J. (2021). Adaptive robust constraint following control for omnidirectional mobile robot: An indirect approach. IEEE Access, 9, 8877–8887.
- Gutiérrez, A., Ríos, H., and Mera, M. (2020). Robust output-regulation for uncertain linear systems with input saturation. IET Control Theory & Applications, 14(16), 2372–2384.
- Jeong, S. and Chwa, D. (2020). Sliding-modedisturbance-observer-based robust tracking control for omnidirectional mobile robots with kinematic and dynamic uncertainties. IEEE/ASME Transactions on Mechatronics, 26(2), 741–752.
- Kim, H. and Kim, B.K. (2013). Online minimum-energy trajectory planning and control on a straight-line path for three-wheeled omnidirectional mobile robots. IEEE Transactions on industrial electronics, 61(9), 4771–4779.
- Lins, J. (2013). Design and implementation of model-predictive control with friction compensation on an omnidirectional mobile robot. IEEE/ASME Transactions On Mechatronics, 19(2), 467–476.
- Ovalle, L., Ríos, H., Llama, M., Santibáñez, V., and Dzul, A. (2019). Omnidirectional mobile robot robust tracking: Sliding-mode output-based control approaches. Control Engineering Practice, 85, 50–58.
- Ren, C., Ding, Y., Ma, S., Hu, L., and Zhu, X. (2019). Passivity-based tracking control of an omnidirectional mobile robot using only one geometrical parameter. Control Engineering Practice, 90, 160–168.
- Sira-Ramírez, H., López-Uribe, C., and Velasco-Villa, M. (2013). Linear observer-based active disturbance rejection control of the omnidirectional mobile robot. Asian Journal of Control, 15(1), 51–63.
- Tanaka, M., Nakajima, M., Suzuki, Y., and Tanaka, K. (2018). Development and control of articulated mobile robot for climbing steep stairs. IEEE/ASME Transactions on Mechatronics, 23(2), 531–541. doi:10.1109/TMECH.2018.2792013.
- Treesatayapun, C. (2011). A discrete-time stable controller for an omni-directional mobile robot based on an approximated model. Control Engineering Practice, 19(2), 194–203.
- Tsai, C.C., Huang, H.C., and Lin, S.C. (2010). Fpgabased parallel dna algorithm for optimal configurations of an omnidirectional mobile service robot performing fire extinguishment. IEEE Transactions on Industrial Electronics, 58(3), 1016–1026.
- Wang, C., Liu, X., Yang, X., Hu, F., Jiang, A., and Yang, C. (2018). Trajectory tracking of an omni-directional wheeled mobile robot using a model predictive control strategy. Applied Sciences, 8(2), 231.
- Zhang, X., Fang, Y., and Sun, N. (2015). Visual servoing of mobile robots for posture stabilization: from theory to experiments. International journal of robust and nonlinear control, 25(1), 1–15.
- Zhao, D., Deng, X., and Yi, J. (2009). Motion and internal force control for omnidirectional wheeled mobile robots. IEEE/ASME Transactions on Mechatronics, 14(3), 382–387.