High gain observer for a class of nonlinear systems with coupled structure and sampled output measurements: application to a quadrotor

References

• Arcak, M., & Nesic, D. (2004). A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation. Automatica, 40, 1931–1938. doi: 10.1016/j.automatica.2004.06.004
   Web of Science ®Google Scholar
• Besançon, G., Bornard, G., & Hammouri, H. (1996). Observer synthesis for a class of nonlinear control systems. European Journal of Control, 2(3), 176–192. doi: 10.1016/S0947-3580(96)70043-2
   Web of Science ®Google Scholar
• Besançon, G., & Ticlea, A. (2007). An immersion-based observer design for rank-observable nonlinear systems. IEEE Transactions on Automatic Control, 52(1), 83–88. doi: 10.1109/TAC.2006.889867
   Web of Science ®Google Scholar
• Bouraoui, I., Farza, M., Ménard, T., Abdennour, R. B., M'Saad, M., & Mosrati, H. (2015). Observer design for a class of uncertain nonlinear systems with sampled outputs: Application to the estimation of kinetic rates in bioreactors. Automatica, 55, 78–87. doi: 10.1016/j.automatica.2015.02.036
   Web of Science ®Google Scholar
• Busawon, K., Farza, M., & Hammouri, H. (1998). A nonlinear observer for induction motors. International Journal of Control, 71, 405–418. doi: 10.1080/002071798221740
   Web of Science ®Google Scholar
• Castañeda, H., Salas-Peña, O.-S., & de Leon-Morales, J. (2017). Extended observer based on adaptive second order sliding mode control for a fixed wing uav. ISA Transactions, 66, 226–232. doi: 10.1016/j.isatra.2016.09.013
   PubMed Web of Science ®Google Scholar
• Castillo, A., Sanz, R., Garcia, P., Qiu, W., Wang, H., & Xu, C. (2019). Disturbance observer-based quadrotor attitude tracking control for aggressive maneuvers. Control Engineering Practice, 82, 14–23. doi: 10.1016/j.conengprac.2018.09.016
   Web of Science ®Google Scholar
• Deza, F., Busvelle, E., & Gauthier, J. (1992). Exponentially converging observers for distillation columns and internal stability of the dynamic output feedback. Chemical Engineering Science, 47(15–16), 3935–3941. doi: 10.1016/0009-2509(92)85142-X
   Web of Science ®Google Scholar
• Deza, F., Busvelle, E., Gauthier, J., & Rakotopara, D. (1992). High gain estimation for nonlinear systems. Systems & Control Letters, 18(4), 295–299. doi: 10.1016/0167-6911(92)90059-2
   Web of Science ®Google Scholar
• Dinh, T. N., Andrieu, V., Nadri, M., & Serres, U. (2015). Continuous-discrete time observer design for lipschitz systems with sampled measurements. IEEE Transactions on Automatic Control, 60(3), 787–792. doi: 10.1109/TAC.2014.2329211
   Web of Science ®Google Scholar
• Dufour, P., Flila, S., & Hammouri, H. (2012). Observer design for mimo non-uniformly observable systems. IEEE Transactions on Automatic Control, 57, 511–516. doi: 10.1109/TAC.2011.2166667
   Web of Science ®Google Scholar
• Farza, M., Bouraoui, I., Ménard, T., Abdennour, R. B., & M'Saad, M. (2014). Adaptive observers for a class of uniformly observable systems with nonlinear parametrization and sampled outputs. Automatica, 50, 2951–2960. doi: 10.1016/j.automatica.2014.10.032
   Web of Science ®Google Scholar
• Farza, M., M'Saad, M., Fall, M., Pigeon, E., Gehan, O., & Busawon, K. (2014). Continuous-discrete time observers for a class of mimo nonlinear systems. IEEE Transactions on Automatic Control, 59, 1060–1065. doi: 10.1109/TAC.2013.2283754
   Web of Science ®Google Scholar
• Farza, M., M'Saad, M., & Rossignol, L. (2004). Observer design for a class of mimmo nonlinear systems. Automatica, 40, 135–143. doi: 10.1016/j.automatica.2003.08.008
   Web of Science ®Google Scholar
• Farza, M., Triki, M., M'Saad, M., & Maatoug, T. (2011). High gain observer for a class of non-triangular systems. Systems & Control Letters, 60(1), 27–35. doi: 10.1016/j.sysconle.2010.09.009
   Web of Science ®Google Scholar
• Gauthier, J., Hammouri, H., & Othman, S. (1992). A simple observer for nonlinear systems. Applications to bioreactors. IEEE Transactions on Automatic Control, 37(6), 875–880. doi: 10.1109/9.256352
   Web of Science ®Google Scholar
• Gauthier, J., & Kupka, I. (2001). Deterministic observation theory and applications. Cambridge: Cambridge University Press.
   Google Scholar
• Guisser, M., & Medromi, H. (2009). A high gain observer and sliding mode controller for an autonomous quadrotor helicopter. International Journal of Intelligent Control and Systems, 14(3), 204–212.
   Google Scholar
• Hammouri, H., Bornard, G., & Busawon, K. (2010). High gain observer for structured multi-output nonlinear systems. IEEE Transactions on Automatic Control, 55, 987–992. doi: 10.1109/TAC.2010.2041614
   Web of Science ®Google Scholar
• Hammouri, H., & Farza, M. (2003). Nonlinear observers for locally uniformly observable systems. ESAIM: Control, Optimisation and Calculus of Variations, 9, 353–370.
   Web of Science ®Google Scholar
• Hammouri, H., Nadri, M., & Mota, R. (2006). Constant gain observer for continuous-discrete time uniformly observable systems. 45th IEEE Conference on Decision and Control (CDC), San Diego, CA (pp. 5406–5411).
   Google Scholar
• Hernández-González, O., Farza, M., Ménard, T., Targui, B., M'Saad, M., & Astorga-Zaragoza, C.-M. (2016). A cascade observer for a class of mimo non uniformly observable systems with delayed sampled outputs. Systems & Control Letters, 98, 86–96. doi: 10.1016/j.sysconle.2016.10.006
   Web of Science ®Google Scholar
• Hou, M., Busawon, K., & Saif, M. (2000). Observer design for a class of MIMO nonlinear systems. IEEE Transactions on Automatic Control, 45(7), 1350–1355. doi: 10.1109/9.867046
   Web of Science ®Google Scholar
• Karafyllis, I., & Kravaris, C. (2009). From continuous-time design to sampled-data design of observers. IEEE Transactions on Automatic Control, 54(9), 2169–2174. doi: 10.1109/TAC.2009.2024390
   Web of Science ®Google Scholar
• Krener, N., & Kravaris, C. (2001). Discrete-time nonlinear observer design using functional equations. Systems & Control Letters, 42, 81–94. doi: 10.1016/S0167-6911(00)00071-2
   Web of Science ®Google Scholar
• Nadri, M., Hammouri, H., & Astorga, C. (2004). Observer design for continuous-discrete time state affine systems up to output injection. European Journal of Control, 10, 252–263. doi: 10.3166/ejc.10.252-263
   Web of Science ®Google Scholar
• Rosaldo-Serrano, M. A., Santiaguillo-Salinas, J., & Aranda-Bricaire, E. (2019). Observer-based time-varying backstepping control for a quadrotor multi-agent system. Journal of Intelligent & Robotic Systems, 93, 135–150. doi: 10.1007/s10846-018-0867-8
   Web of Science ®Google Scholar
• Shao, X., Liu, J., & Wang, H. (2018). Robust back-stepping output feedback trajectory tracking for quadrotors via extended state observer and sigmoid tracking differentiator. Mechanical Systems and Signal Processing, 104, 631–647. doi: 10.1016/j.ymssp.2017.11.034
   Web of Science ®Google Scholar
• Shim, H., Son, Y., & Seo, J. (2001). Semi-global observer for multi-output nonlinear systems. Systems & Control Letters, 42(3), 233–244. doi: 10.1016/S0167-6911(00)00098-0
   Web of Science ®Google Scholar
• Wang, B., Yu, X., Mu, L., & Zhang, Y. (2019). Disturbance observer-based adaptive fault-tolerant control for a quadrotor helicopter subject to parametric uncertainties and external disturbances. Mechanical Systems and Signal Processing, 120, 727–743. doi: 10.1016/j.ymssp.2018.11.001
   Web of Science ®Google Scholar
• Zhao, G., & Hua, C. (2017). Continuous-discrete-time adaptive observers for nonlinear systems with sampled output measurements. International Journal of Systems Science, 48(12), 2599–2609. doi: 10.1080/00207721.2017.1324924
   Web of Science ®Google Scholar
• Zhao, G., & Wang, J. (2014). Reset observers for linear time-varying delay systems: Delay-dependent approach. Journal of the Franklin Institute, 351(11), 5133–5147. doi: 10.1016/j.jfranklin.2014.08.011
   Web of Science ®Google Scholar