Jauch, Gerke Hannes | UNAM |
Moreno, Jaime A | UNAM |
Resumen: En este artículo se provee un control integral homogéneo por retroalimentación de salida capaz de estabilizar en tiempo finito el origen de un sistema no lineal SISO a pesar de perturbaciones Lipschitz acopladas. Asimismo, se construye la función de Lyapunov que permite asegurar la estabilidad del origen del sistema en lazo cerrado con un controlador integral discontinuo más un observador de estados suave.
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¿Cómo citar?
Gerke H. Jauch & Jaime A. Moreno. El Super Twisting Extendido. Memorias del Congreso Nacional de Control Automático, pp. 130-135, 2018.
Palabras clave
Control por modos deslizantes, Control discontinuo, Contro robusto, Algoritmo Super Twisting
Referencias
- Andrieu, V., Praly, L., and Astolfi, A. (2008). Homogeneous approximation, recursive observer design, and output feedback. SIAM Journal on Control and Optimization, 47(4), 1814–1850.
- Bhat, S.P. and Bernstein, D.S. (2005). Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals, and Systems (MCSS), 17(2), 101–127.
- Chalanga, A., Kamal, S., Fridman, L.M., Bandyopadhyay, B., and Moreno, J.A. (2016). Implementation of super-twisting control: Super-twisting and higher order sliding-mode observer-based approaches. IEEE Transactions on Industrial Electronics, 63(6), 3677–3685.
- Cruz-Zavala, E. and Moreno, J.A. (2017). Homogeneous high order sliding mode design: A Lyapunov approach. Automatica, 80, 232 – 238. doi: http://dx.doi.org/10.1016/j.automatica.2017.02.039.
- Cruz-Zavala, E., Moreno, J.A., and Fridman, L.M. (2011). Uniform robust exact differentiator. IEEE Transactions on Automatic Control, 56(11), 2727–2733.
- Floquet, T. and Barbot, J.P. (2007). Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs. International Journal of Systems Science, 38(10), 803–815.
- Kunusch, C., Puleston, P.F., Mayosky, M.A., and Riera, J. (2009). Sliding mode strategy for pem fuel cells stacks breathing control using a super-twisting algorithm. IEEE Transactions on Control Systems Technology, 17(1), 167–174.
- Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control. International journal of control, 58(6), 1247–1263. Levant, A. (1998). Robust exact differentiation via sliding mode technique. automatica, 34(3), 379–384.
- Levant, A. (2003). Higher-order sliding modes, differentiation and output-feedback control. International journal of Control, 76(9-10), 924–941.
- Levant, A. (2005). Homogeneity approach to high-order sliding mode design. Automatica, 41(5), 823–830.
- Moreno, J.A. (2016). Discontinuous integral control for mechanical systems. In 14th International Workshop on Variable Structure Systems (VSS), 142–147.
- Moreno, J.A. and Osorio, M. (2008). A lyapunov approach to second-order sliding mode controllers and observers. In Decision and Control, 2008. CDC 2008. 47th IEEE Conference on, 2856–2861. IEEE.
- Moreno, J.A. and Osorio, M. (2012). Strict lyapunov functions for the super-twisting algorithm. IEEE Transactions on Automatic Control, 57(4), 1035–1040.
- Pisano, A. and Usai, E. (2004). Output-feedback control of an underwater vehicle prototype by higher-order sliding modes. Automatica, 40(9), 1525–1531.
- Sánchez, T. and Moreno, J.A. (2012). Construction of lyapunov functions for a class of higher order sliding modes algorithms. In Decision and Control (CDC), 2012 IEEE 51st Annual Conference on, 6454–6459. IEEE.
- Sánchez, T. and Moreno, J.A. (2014). A constructive lyapunov function design method for a class of homogeneous systems. In Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on, 5500–5505. IEEE.
- Swikir, A. and Utkin, V. (2016). Chattering analysis of conventional and super twisting sliding mode control algorithm. In Variable Structure Systems (VSS), 2016 14th International Workshop on, 98–102. IEEE.
- Utkin, V. (2016). Discussion aspects of high-order sliding mode control. IEEE Transactions on Automatic Control, 61(3), 829–833.
- Utkin, V.I. and Poznyak, A.S. (2013). Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method. Automatica, 49(1), 39–47.
- Ventura, U.P. and Fridman, L. (2016). Chattering measurement in smc and hosmc. In Variable Structure Systems (VSS), 2016 14th International Workshop on, 108–113. IEEE.