Ivon elena Leal Leal | Universidad Autonoma de Nuevo Leon |
Efraín Alcorta-García | Universidad Autonoma de Nuevo Leon |
Resumen: Closed-loop systems, due to their robustness, have a certain level of fault tolerance. This paper proposes a procedure, for non-linear systems with Euler-Lagrange (EL) structure, which allows to increase the fault size that can be tolerated by closed-loop systems. The result uses a cascade scheme to compensate the effect of the faults, as an external control a generalized proportional integral (PI) controller was selected, which has an observer who jointly estimates faults, perturbations and uncertain terms and then cancels their effect in the control stage. The main advantages of the proposed method are that it allows the nominal control to be preserved without alterations and that it requires a minimum of information about the system and the closed loop, making it easy to implement. It is shown by means of a simulation example, a pendulum, the effectiveness of the proposed method.
¿Cómo citar?
Ivon elena Leal Leal & Efraín Alcorta-García. Increased fault tolerance through generalized pi control. Memorias del Congreso Nacional de Control Automático, pp. 1-6, 2020.
Palabras clave
cascade scheme, generalized PI controller, fault tolerance, non-linear system, observer
Referencias
- Alfaro, L.H.R., Garcia, E.A., and Castillo, C.P. (2012). Diagnóstico de fallas en sistemas hamiltonianos. Memorias del Congreso Nacional de Control Automático 2012.
- Alwi, H., Edwards, C., and Tan, C.P. (2011). Fault Detection and Fault Tolerant Control Using Sliding Modes. Springer.
- Arteaga, M. and Gutierrez, A. (2014). On the gpi approach with unknown inertia matrix in robot manipulators. International Journal of Control, 87(4), 844–860.
- Arteaga Pérez, M.A. and Gutiérrez Giles, A. (2014). On the gpi approach with unknown inertia matrix in robot manipulators. International Journal of Control, 87(4), 844–860.
- Benosman, M. (2011). Passive fault tolerant control. Robust Control Theory Appl.
- Blanke, M., Kinnaert, M., and Staroswiecki, J.L.M. (2006a). Diagnosis and fault-tolerant ontrol. Springer, Berlin Germany, 2nd edition.
- Blanke, M., Kinnaert, M., Lunze, J., Staroswiecki, M., and Schr¨oder, J. (2006b). Diagnosis and fault-tolerant control, volume 2. Springer.
- Bonivento, C., Isidori, A., Marconi, L., and Paoli, A. (2004). Implicit fault-tolerant control: application to induction motors. Automatica, 40(3), 355–371.
- Ding, S.X. (2014). Data-driven Design of Fault Diagnosis and Fault-tolerant Control Systems. Advances in Industrial Control. Springer, London.
- Isermann, R. (2006). Fault-diagnosis systems: An introduction from fault detection to fault tolerance. Springer, 1 edition.
- Kelly, R. and Santibáñez, V. (2003). Control de movimiento de robots manipuladores. Pearson educación.
- Lunze, J. and Steffen, T. (2006). Control reconfiguration after actuator failures using disturbance decoupling methods. IEEE Transactions on Automatic Control, 51(10), 1590–1601.
- Noura, H., Theilliol, D., Ponsart, J.C., and Chamseddine, A. (2009). Fault-tolerant Control Systems: Design and Practical Applications. Springer, London.
- Ortega, R., Loria, A., Nicklasson, P.J., and Sira Ramirez, H. (1998). Passivity based Control of Euler Lagrange Systems: Mechanical, Electrical and Electromechanical Applications. Springer.
- Siciliano, B., Sciavicco, L., Villani, L., and Oriolo, G. (2010). Robotics: modelling, planning and control. Springer Science & Business Media.
- Sira Ramirez, H., Luviano Juárez, A., and Cortés Romero, J. (2010). Control lineal robusto de sistemas no lineales diferencialmente planos. Revista iberoamericana de automática e informática industrial, 8(1), 14– 28.
- Sira Ramirez, H., Luviano-Juárez, A., Ramírez-Neria, M., and Zurita-Bustamante, E.W. (2018). Active disturbance rejection control of dynamic systems: a flatness based approach. Butterworth-Heinemann.
- Sira Ramírez, H., Ramírez-Neria, M., and Rodríguez Angeles, A. (2010). On the linear control of nonlinear mechanical systems. In 49th IEEE Conference on Decision and Control (CDC), 1999–2004. IEEE.
- Slotine, J.J.E. and Li, W. (1987). On the adaptive control of robot manipulators. The international journal of robotics research, 6(3), 49–59.
- Staroswiecki, M. and Cazaurang, F. (2008). Fault recovery by nominal trajectory tracking. In American Control Conference, 1070–1075. Seattle, Washington, USA.