Gutierrez Martinez, Susana Viridiana | Universidad Autónoma de Nuevo León |
Ríos, Héctor | Tecnológico Nacional de México/I.T. La Laguna |
Raïssi, Tarek | Conservatoire National des Arts et Métiers |
Efimov, Denis | Inria, Univ. Lille |
https://doi.org/10.58571/CNCA.AMCA.2023.011
Resumen: This paper presents the design of a robust controller, based on an integral sliding-mode control (ISMC) approach together with an interval predictor-based state feedback controller and a Model Predictive Control (MPC) scheme, for a class of uncertain linear parameter-varying (LPV) systems. The proposed controller deals with some state and input constraints and is robust to some external disturbances and parameter uncertainties. Furthermore, the performance of the proposed scheme is validated by numerical simulations.

¿Cómo citar?
Gutierrez Martinez, Susana Viridiana; Ríos, Héctor; Raïssi, Tarek; Efimov, Denis. An Integral Sliding-Mode-based Interval Predictive Control for Constrained LPV Systems. Memorias del Congreso Nacional de Control Automático, pp. 103-108, 2023. https://doi.org/10.58571/CNCA.AMCA.2023.011
Palabras clave
Control de Sistemas No Lineales; Control Discontinuo (modos deslizantes); Control Robusto
Referencias
- Bemporad, Alberto, M. (2007). Robust model predictive control: A survey. In Robustness in identification and control, 207-226. Springer.
- Borrelli, F., Bemporad, A., and Morari, M. (2017). Predictive control for linear and hybrid systems. Cambridge University Press.
- Castaños, Fernando, F. (2006). Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Transactions on Automatic Control, 51(5), 853-858.
- Efimov, D., Fridman, L., Raissi, T., Zolghadri, A., and Seydou, R. (2012). Interval estimation for LPV systems applying high order sliding mode techniques. Automatica, 48(9), 2365-2371.
- Efimov, D., Ra¨ıssi, T., and Zolghadri, A. (2013). Control of nonlinear and LPV systems: interval observer-based framework. IEEE Transactions on Automatic Control, 58(3), 773-778.
- Falcone, P., Borrelli, F., Asgari, J., Tseng, H.E., and Hrovat, D. (2007). Predictive active steering control for autonomous vehicle systems. IEEE Transactions on control systems technology, 15(3), 566-580.
- Findeisen, R., Imsland, L., Allgower, F., and Foss, B.A. (2003). State and output feedback nonlinear model predictive control: An overview. European Journal of Control, 9(2-3), 190-206.
- Funke, J., Brown, M., Erlien, S.M., and Gerdes, J.C. (2016). Collision avoidance and stabilization for autonomous vehicles in emergency scenarios. IEEE Transactions on Control Systems Technology, 25(4), 1204-1216.
- Galvan-Guerra, R., Incremona, G.P., Fridman, L., and Ferrara, A. (2022). Robust multi-model predictive control via integral sliding modes. IEEE Control Systems Letters, 6, 2623-2628.
- Incremona, G.P., Ferrara, A., and Magni, L. (2015). Hierarchical model predictive/sliding mode control of nonlinear constrained uncertain systems. IFACPapersOnLine, 48(23), 102-109.
- Indira Nagesh, C.E. (2014). A multivariable supertwisting sliding mode approach. Automatica, 50(3), 984- 988.
- Leurent, E., Efimov, D., and Maillard, O.A. (2020). Robust-adaptive interval predictive control for linear uncertain systems. In 2020 59th IEEE Conference on Decision and Control (CDC), 1429-1434. IEEE.
- Lopez-Caamal, Fernando, M. (2019). Generalised multivariable supertwisting algorithm. International Journal of Robust and Nonlinear Control, 29(3), 634-660.
- Mayne, D.Q. (2014). Model predictive control: Recent developments and future promise. Automatica, 50(12), 2967-2986.
- Mayne, D.Q., Rawlings, J.B., Rao, C.V., and Scokaert, P.O. (2000). Constrained model predictive control: Stability and optimality. Automatica, 36(6), 789-814.
- Michalska, Hannah y Mayne, D.Q. (1993). Robust receding horizon control of constrained nonlinear systems. IEEE Transactions on Automatic Control, 38(11), 1623-1633.
- Moreno, J., R´ıos, H., Ovalle, L., and Fridman, L. (2021). Multivariable Super-Twisting algorithm for systems with uncertain input matrix and perturbations. IEEE Transactions on Automatic Control, 67(12), 6716-6722.
- Rakovi´c, S.V. (2016). Model predictive control: classical, robust, and stochastic. IEEE Control Systems Magazine, 36(6), 102-105.
- Reis de Souza, A., Efimov, D., Ra¨ıssi, T., and Ping, X. (2021). Robust output feedback mpc for LPV systems using interval observers. IEEE Transactions on Automatic Control, 67(6), 3188-3195.
- Shtessel, Y., Edwards, C., Fridman, L., Levant, A., et al. (2014). Sliding mode control and observation, volumen 10. Springer.
- Steinberger, M., Castillo, I., Horn, M., and Fridman, L. (2020). Robust output tracking of constrained perturbed linear systems via model predictive sliding mode control. International Journal of Robust and Nonlinear Control, 30(3), 1258-1274.
- Utkin, Vadim, S. (1996). Integral sliding mode in systems operating under uncertainty conditions. In Proceedings of 35th IEEE Conference on Decision and Control, volume 4, 4591-4596. IEEE.
- Utkin, V., Guldner, J., and Shi, J. (1999). Sliding modes in electromechanical systems. Taylor and Francis.
- Young, K.D., Utkin, V.I., and Ozguner, U. (1999). A control engineer’s guide to sliding mode control. IEEE Transactions on Control Systems Technology, 7(3), 328-342.