Approximate causal output tracking for linear perturbed systems via sliding mode control

References

• Baev, S., Shtessel, Y., Edwards, C., & Spurgeon, S. (2008). Output feedback tracking in causal nonminimum-phase nonlinear systems using HOSM techniques. 2008 International Workshop on Variable Structure Systems, Antalya (pp. 209–214).
   Google Scholar
• Bonivento C., Marconi L., & Zanasi R. (2001). Output regulation of nonlinear systems by sliding mode. Automatica, 37(4), 535–542. doi: 10.1016/S0005-1098(00)00184-9
   Web of Science ®Google Scholar
• Castillo-Toledo B., & Castro-Linares R. (1995). On robust regulation via sliding mode for nonlinear systems. Systems & Control Letters, 24(5), 361–371. doi: 10.1016/0167-6911(94)00039-X
   Web of Science ®Google Scholar
• Draženović B. (1969). The invariance conditions in variable structure systems. Automatica, 5(3), 287–295. doi: 10.1016/0005-1098(69)90071-5
   Web of Science ®Google Scholar
• Francis B. (1976). The linear multivariable regulator problem. In IEEE conference on decision and control including the 15th symposium on adaptive processes, 1976 (pp. 873–878).
   Google Scholar
• Francis B., & Wonham W. (1975). The internal model principle for linear multivariable regulators. Applied Mathematics and Optimization, 2(2), 170–194. doi: 10.1007/BF01447855
   Web of Science ®Google Scholar
• Fridman L., & Levant A. (2002). Higher order sliding modes. Sliding Mode Control in Engineering, 11, 53–102.
   Google Scholar
• Gopalswamy S., & Karl Hedrick J. (1993). Tracking nonlinear non-minimum phase systems using sliding control. International Journal of Control, 57(5), 1141–1158. doi: 10.1080/00207179308934436
   Web of Science ®Google Scholar
• GuiZhi M., & Kemao M. (2014). Output regulation for nonlinear systems via integral sliding mode. In 33rd Chinese Control Conference (CCC), 2014 (pp. 2331–2335).
   Google Scholar
• Isidori, A. (1995). Nonlinear control systems. London: Springer Science & Business Media.
   Google Scholar
• Isidori A., & Byrnes C. (1990). Output regulation of nonlinear systems. IEEE Transactions on Automatic Control, 35(2), 131–140. doi: 10.1109/9.45168
   Web of Science ®Google Scholar
• Jafari R., & Mukherjee R. (2012). Intermittent output tracking for linear single-input single-output non-minimum-phase systems. In American Control Conference (ACC), 2012 (pp. 5942–5947).
   Google Scholar
• Jeong H.-S., & Utkin V. I. (1999). Sliding mode tracking control of systems with unstable zero dynamics. In Variable structure systems, sliding mode and nonlinear control (pp. 303–327). Springer.
   Google Scholar
• Khalil, H. K. (2002). Nonlinear systems. Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Lamour, R., März, R., & Tischendorf, C. (2013). Differential-algebraic equations: A projector based analysis. Heidelberg: Springer Science & Business Media.
   Google Scholar
• Levant A. (1998). Robust exact differentiation via sliding mode technique. Automatica, 34(3), 379–384. doi: 10.1016/S0005-1098(97)00209-4
   Web of Science ®Google Scholar
• Loukianov A., Castillo-Toledo B., & Garcia-Rocha R. (1999). Output regulation in sliding mode. In Proceedings of the American Control Conference, 1999 (Vol. 2, pp. 1037–1041).
   Google Scholar
• Loza A. Ferreira de, Bejarano F., & Fridman L. (2009). Robust output regulation with exact unmatched uncertainties compensation based on HOSM observation. In Proceedings of the 48th IEEE conference on decision and control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009 (pp. 6692–6696).
   Google Scholar
• Moreno J., & Osorio M. (2008). A Lyapunov approach to second-order sliding mode controllers and observers. In 47th IEEE conference on decision and control, 2008. CDC 2008 (pp. 2856–2861).
   Google Scholar
• Pisano A., Baev S., Salimbeni D., Shtessel Y., & Usai E. (2013). A new approach to causal output tracking for non-minimum phase nonlinear systems via combined first/second order sliding mode control. In European Control Conference (ECC), 2013 (pp. 3234–3239).
   Google Scholar
• Polyakov A., & Poznyak A. (2009). Reaching time estimation for super-twisting second order sliding mode controller via Lyapunov function designing. IEEE Transactions on Automatic Control, 54(8), 1951–1955. doi: 10.1109/TAC.2009.2023781
   Web of Science ®Google Scholar
• Riaza, R. (2008). Differential-algebraic systems: Analytical aspects and circuit applications. Toh Tuck Link: World Scientific.
   Google Scholar
• Ruiz-Duarte J. E., & Loukianov A. G. (2016). Arbitrary references output tracking in linear systems. In 13th international conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2016.
   Google Scholar
• Serrano-Heredia J., Loukianov A. G., & Bayro-Corrochano E. (2011). Sliding mode block control regulation of the pendubot. In 50th IEEE conference on decision and control and European Control Conference, 2011 (pp. 8249–8254).
   Google Scholar
• Shkolnikov I.A., & Shtessel Y.B. (2001). Tracking controller design for a class of nonminimum-phase systems via the method of system center. IEEE Transactions on Automatic Control, 46(10), 1639–1643. doi: 10.1109/9.956064
   Web of Science ®Google Scholar
• Shtessel Y., & Shkolnikov I. (1999). Causal nonminimum phase output tracking in mimo nonlinear systems in sliding mode: Stable system center technique. In Proceedings of the 38th IEEE conference on decision and control, 1999 (Vol. 5, pp. 4790–4795).
   Google Scholar
• Utkin V. (1978). Methods for constructing discontinuity planes in multidimensional variable structure systems. Automation and Remote Control, 39, 1466–1470.
   Web of Science ®Google Scholar
• Utkin, V., Guldner, J., & Shijun, M. (1999). Sliding mode control in electro-mechanical systems (Vol. 34). Boca Raton: CRC Press.
   Google Scholar
• Utkin V. A., & Utkin A. (2014). Problem of tracking in linear systems with parametric uncertainties under unstable zero dynamics. Automation and Remote Control, 75(9), 1577–1592. doi: 10.1134/S0005117914090045
   Web of Science ®Google Scholar
• Wang X., & Chen D. (2001). Causal inversion of nonminimum phase systems. In Proceedings of the 40th IEEE conference on decision and control, 2001 (Vol. 1).
   Google Scholar