Cascade observers for output-feedback control under parametric uncertainties, disturbances and arbitrary sensor delays

References

• Ahmed-Ali, T., Cherrier, E., & Lamnabhi-Lagarrigue, F. (2012, January). Cascade high gain predictors for a class of nonlinear systems. IEEE Transactions on Automatic Control, 57(1), 224–229. doi: 10.1109/TAC.2011.2161795
   Web of Science ®Google Scholar
• Åström, K. J., & Wittenmark, B. (1997). Computer-controlled systems: Theory and design (3rd ed.). Upper Saddle River, NJ: Prentice–Hall.
   Google Scholar
• Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia, PA: SIAM.
   Google Scholar
• Bresch-Pietri, D., & Krstic, M. (2009, September). Adaptive trajectory tracking despite unknown input delay and plant parameters. Automatica, 45(9), 2074–2081. doi: 10.1016/j.automatica.2009.04.027
   Web of Science ®Google Scholar
• Bresch-Pietri, D., & Krstic, M. (2014, May). Delay-adaptive control for nonlinear systems. IEEE Transactions on Automatic Control, 59(5), 1203–1218. doi: 10.1109/TAC.2014.2298711
   Web of Science ®Google Scholar
• Chen, M., & Chen, W. H. (2010). Disturbance-observer-based robust control for time delay uncertain systems. International Journal of Control, Automation and Systems, 8(2), 445–453. doi: 10.1007/s12555-010-0233-5
   Web of Science ®Google Scholar
• Coutinho, C. L., Oliveira, T. R., & Cunha, J. P. V. S. (2013, August). Output-feedback sliding-mode control of multivariable systems with uncertain time-varying state delays and unmatched non-linearities. IET Control Theory & Applications, 7(12), 1616–1623. doi: 10.1049/iet-cta.2013.0388
   Web of Science ®Google Scholar
• Coutinho, C. L., Oliveira, T. R., & Cunha, J. P. V. S. (2014, November). Output-feedback sliding-mode control via cascade observers for global stabilisation of a class of nonlinear systems with output time delay. International Journal of Control, 87(11), 2327–2337.
   Web of Science ®Google Scholar
• Cunha, J. P. V. S., Costa, R. R., & Hsu, L. (2008). Design of first-order approximation filters for sliding-mode control of uncertain systems. IEEE Transactions on Industrial Electronics, 55(11), 4037–4046. doi: 10.1109/TIE.2008.2005142
   Web of Science ®Google Scholar
• Desoer, C. A., & Vidyasagar, M. (1975). Feedback systems: Input–output properties. New York, NY: Academic Press.
   Google Scholar
• Fossen, T. I. (2011). Handbook of marine craft hydrodynamics and motion control. Chichester: Wiley.
   Google Scholar
• Fridman, L., Acosta, P., & Polyakov, A. (2001). Robust eigenvalue assignment for uncertain delay control systems. In Proceedings 3rd IFAC workshop on time delay systems (pp. 239–244). Santa Fe, NM.
   Google Scholar
• Fridman, E., & Orlov, Y. (2009, January). Exponential stability of linear distributed parameter systems with time-varying delays. Automatica, 45(1), 194–201. doi: 10.1016/j.automatica.2008.06.006
   Web of Science ®Google Scholar
• Germani, A., Manes, C., & Pepe, P. (2002). A new approach to state observation of nonlinear systems with delayed output. IEEE Transactions on Automatic Control, 47(1), 96–101. doi: 10.1109/9.981726
   Web of Science ®Google Scholar
• Gu, K., Kharitonov, V. L., & Chen, J. (2003). Stability of time-delay systems. Boston: Birkhäuser.
   Google Scholar
• Han, X., Fridman, E., & Spurgeon, S. K. (2010). Sliding-mode control of uncertain systems in the presence of unmatched disturbances with applications. International Journal of Control, 83(12), 2413–2426. doi: 10.1080/00207179.2010.527375
   Web of Science ®Google Scholar
• He, Q., & Liu, J. (2016). Observer-based stabilisation of a class of nonlinear systems in the presence of measurement delay. International Journal of Control, 89(6), 1180–1190. doi: 10.1080/00207179.2015.1125021
   Web of Science ®Google Scholar
• Isidori, A. (1999). Nonlinear control systems II. London: Springer-Verlag.
   Google Scholar
• Jeong, C., Park, P., & Kim, S. H. (2012). Improved approach to robust stability and H∞ performance analysis for systems with an interval time-varying delay. Applied Mathematics and Computation, 218(21), 10533–10541. doi: 10.1016/j.amc.2012.04.015
   Web of Science ®Google Scholar
• Johnson, C. D. (1970, April). Further study of the linear regulator with disturbances – the case of vector disturbances satisfying a linear differential equation. IEEE Transactions on Automatic Control, 15(2), 222–228. doi: 10.1109/TAC.1970.1099406
   Web of Science ®Google Scholar
• Karafyllis, I., Krstic, M., Ahmed-Ali, T., & Lamnabhi-Lagarrigue, F. (2014). Global stabilisation of nonlinear delay systems with a compact absorbing set. International Journal of Control, 87(5), 1010–1027. doi: 10.1080/00207179.2013.863433
   Web of Science ®Google Scholar
• Khalil, H. K. (1996). Nonlinear systems (2nd ed.). Upper Saddle River, NJ: Prentice-Hall.
   Google Scholar
• Krstic, M. (2009). Delay compensation for nonlinear, adaptive, and PDE systems. Boston: Birkhäuser.
   Google Scholar
• Léchappé, V., Moulay, E., Plestan, F., Glumineau, A., & Chriette, A. (2015, February). New predictive scheme for the control of LTI systems with input delay and unknown disturbances. Automatica, 52, 179–184. doi: 10.1016/j.automatica.2014.11.003
   Web of Science ®Google Scholar
• Lei, J., & Khalil, H. K. (2016, August). Feedback linearization for nonlinear systems with time-varying input and output delays by using high-gain predictors. IEEE Transactions on Automatic Control, 61(8), 2262–2268. doi: 10.1109/TAC.2015.2491719
   Web of Science ®Google Scholar
• Li, X., & DeCarlo, R. A. (2003). Robust sliding mode control of uncertain time delay systems. International Journal of Control, 76(13), 1296–1305. doi: 10.1080/0020717031000147511
   Web of Science ®Google Scholar
• Liu, P. L., Lu, T. Y., & Chen, I. C. (2006, August). Robust stabilization for uncertain time-delay systems with delay-dependence. In First international conference innovative computing, information and control (ICICIC'06) vol 1. (pp. 595–598). Beijing.
   Google Scholar
• Nam, P. T. (2009, August). Exponential stability criterion for time-delay systems with nonlinear uncertainties. Applied Mathematics and Computation, 214(2), 374–380. doi: 10.1016/j.amc.2009.04.004
   Web of Science ®Google Scholar
• Niculescu, S. I., Souza, C. E., Dugard, L., & Dion, J. M. (1998, May). Robust exponential stability of uncertain systems with time-varying delays. IEEE Transactions on Automatic Control, 43(5), 743–748. doi: 10.1109/9.668851
   Web of Science ®Google Scholar
• Paull, L., Saeedi, S., Seto, M., & Li, H. (2014, January). AUV navigation and localization: A review. IEEE Journal of Oceanic Engineering, 39(1), 131–149. doi: 10.1109/JOE.2013.2278891
   Web of Science ®Google Scholar
• Polyakov, A. (2012, May). Minimization of disturbances effects in time delay predictor-based sliding mode control systems. Journal of the Franklin Institute, 349(4), 1380–1396. doi: 10.1016/j.jfranklin.2011.06.028
   Web of Science ®Google Scholar
• Seuret, A., Edwards, C., Spurgeon, S. K., & Fridman, E. (2009, February). Static output feedback sliding mode control design via an artificial stabilizing delay. IEEE Transactions on Automatic Control, 54(2), 256–265. doi: 10.1109/TAC.2008.2010889
   Web of Science ®Google Scholar
• Smith, O. J. M. (1957). Closer control of loops with dead time. Chemical Engineering Progress, 53(5), 217–219.
   Google Scholar
• Tsubakino, D., Krstic, M., & Oliveira, T. R. (2016, September). Exact predictor feedbacks for multi-input LTI systems with distinct input delays. Automatica, 71, 143–150. doi: 10.1016/j.automatica.2016.04.047
   Web of Science ®Google Scholar
• Xu, S., Lam, J., & Zhong, M. (2006, September). New exponential estimates for time-delay systems. IEEE Transactions on Automatic Control, 51(9), 1501–1505. doi: 10.1109/TAC.2006.880783
   Web of Science ®Google Scholar
• Yan, X. G., Spurgeon, S. K., & Edwards, C. (2010, August). Sliding mode control for time-varying delayed systems based on a reduced-order observer. Automatica, 46(8), 1354–1362. doi: 10.1016/j.automatica.2010.05.017
   Web of Science ®Google Scholar