Observation and output adaptive tracking for a class of nonlinear non-minimum phase systems

References

• Andrieu, V., & Praly, L. (2008). Global asymptotic stabilization for nonminimum phase nonlinear systems admitting a strict normal form. IEEE Transactions on Automatic Control, 53, 1120–1132.
   Web of Science ®Google Scholar
• Bartolini, G., Pisano, A., & Usai, E. (2001). Global stabilization for nonlinear uncertain systems with unmodeled actuator dynamics. IEEE Transactions on Automatic Control, 46, 1826–1832.
   Web of Science ®Google Scholar
• Bartolini, G., & Punta, E. (2010). Reduced-order observer in the sliding-mode control of nonlinear nonaffine systems. IEEE Transactions on Automatic Control, 55, 2368–2373.
   Web of Science ®Google Scholar
• Bartolini, G., Punta, E., & Zolezzi, T. (2009). Simplex sliding mode methods for the chattering reduction control of multi-input nonlinear uncertain systems. Automatica, 45, 1923–1928.
   Web of Science ®Google Scholar
• Bartolini, G., & Zolezzi, T. (1986). Dynamic output feedback for observed variable-structure control systems. Systems & Control Letters, 7, 189–193.
   Web of Science ®Google Scholar
• Bartolini, G., Estrada, A., & Punta, E. (2016). Adaptive tracking of sinusoids with unknown frequencies for some classes of SISO non-minimum phase systems. International Journal of Adaptive Control and Signal Processing. DOI:10.1002/acs.2675
   Google Scholar
• Bejarano, F.J. (2011). Partial unknown input reconstruction for linear systems. Automatica, 47, 1751–1756.
   Web of Science ®Google Scholar
• Bode, H.W. (1945). Network analysis and feedback amplifier design. New York, NY: Van Nostrand.
   Google Scholar
• Boiko, I., Fridman, L., & Castellanos, M. (2004). Analysis of second order sliding mode algorithms in the frequency domain. IEEE Trans. Automatic Control, 49, 946–950.
   Web of Science ®Google Scholar
• Byrnes, C.I., & Isidori, A. (1991). Asymptotic stabilization of minimum phase nonlinear systems. IEEE Transactions on Automatic Control, 36, 1122–1137.
   Web of Science ®Google Scholar
• Byrnes, C.I., & Isidori, A. (2004). Nonlinear internal models for output regulation. IEEE Transactions on Automatic Control, 49, 2244–2247.
   Web of Science ®Google Scholar
• Davila, J. (2013). Exact tracking using backstepping control design and high-order sliding modes. IEEE Transactions on Automatic Control, 58, 2077–2081.
   Web of Science ®Google Scholar
• Edwards, C., Floquet, T., & Spurgeon, S. (2008). Circumvecting the relative degree condition in sliding mode design. In Bartolini, G., Fridman, L., Pisano, A., & Usai, E. (Eds.), Modern sliding mode control theory (pp. 137–158). Berlin, Heidelberg: Springer-Verlag.
   Google Scholar
• Estrada, A., & Fridman, L. (2010). Quasi-continuous HOSM control for systems with unmatched perturbations. Automatica, 46, 1916–1919.
   Web of Science ®Google Scholar
• Ferreira, A., Bejarano, F., & Fridman, L. (2011). Robust control with exact uncertainties compensation: With or without chattering? IEEE Transactions on Control System Technology, 19, 969–975.
   Web of Science ®Google Scholar
• Fliess, M., Lévine, J., Martin, P., & Rouchon, P. (1995). Flatness and defect of nonlinear systems: Introductory theory and examples. International Journal of Control, 61, 1327–1361.
   Web of Science ®Google Scholar
• Fliess, M., Lévine, J., Martin, P., & Rouchon, P. (1999). A lie-bäcklund approach to equivalence and flatness of nonlinear systems. IEEE Transactions on Automatic Control, 44, 922–937.
   Web of Science ®Google Scholar
• Francis, B.A., & Wonham, W. (1976). The internal model principle of control theory. Automatica, 12, 457–465.
   Web of Science ®Google Scholar
• Fridman, L., Estrada, A., & Ferreira, A. (2013). Higher Order Sliding Mode Based Accurate Tracking of Unmatched Perturbed Outputs. In Bandyopadhyay, B., Janardhanan, S., & Spurgeon, S.K. (Eds.), Advances in Sliding Mode Control: Concept, Theory and Implementation. (pp. 177–144). Berlin Heidelberg: Springer.
   Google Scholar
• Gopalswamy, S., & Hedrick, J. (1993). Tracking nonlinear non-minimum phase systems using sliding control. International Journal of Control, 57, 1141–1158.
   Web of Science ®Google Scholar
• Hagenmeyer, V., & Zeitz, M. (2004). Internal dynamics of flat nonlinear SISO systems with respect to a non-flat output. Systems & Control Letters, 52, 323–327.
   Web of Science ®Google Scholar
• Huang, J. (2004). Nonlinear output regulation: Theory and applications. Philadephia, PA: SIAM.
   Google Scholar
• Isidori, A. (1995). Nonlinear control systems. Berlin: Springer Verlag.
   Google Scholar
• Isidori, A., & Byrnes, C.I. (1990). Output regulation of nonlinear systems. IEEE Transactions on Automatic Control, 35, 131–140.
   Web of Science ®Google Scholar
• Jeong, H.S., & Utkin, V.I. (1999). Sliding mode tracking control of systems with unstable zero dynamics. In K. Young Özgüner(Eds.), Variable structure systems, sliding mode and nonlinear control (Vol. 247, pp. 303–327). London: Springer.
   Google Scholar
• Krener, A.J. (1973). On the equivalence of control systems and the linearization on nonlinear systems. SIAM Journal on Control, 11, 670–676.
   Web of Science ®Google Scholar
• Krishnamurthy, P., & Khorrami, F. (2006). On uniform solvability of parameter-dependent Lyapunov inequalities and application to various problems. SIAM Journal on Control and Optimization, 45, 1147–1164.
   Web of Science ®Google Scholar
• Levant, A. (1998). Robust exact differentiation via sliding mode technique. Automatica, 34, 379–384.
   Web of Science ®Google Scholar
• Levant, A. (2003). Higher order sliding modes, differentiation and output-feedback control. International Journal of Control, 76, 924–941.
   Web of Science ®Google Scholar
• Marino, R., & Santosuosso, G.L. (2005). Global compensation of unknown sinusoidal disturbances for a class of nonlinear nonminimum phase systems. IEEE Transactions on Automatic Control, 50, 1816–1822.
   Web of Science ®Google Scholar
• Pigg, A., & Bodson, M. (2010). Adaptive algorithms for the rejection of sinusoidal disturbances acting on unknown plants. IEEE Transactions on Control Systems Technology, 18, 822–836.
   Web of Science ®Google Scholar
• Qiu, L., & Davison, E. (1993). Performance limitations of non-minimum phase systems in the servomechanism problem. Automatica, 29, 337–349.
   Web of Science ®Google Scholar
• Shkolnikov, I.A., & Shtessel, Y.B. (2002). Tracking in a class of nonminimum-phase systems with nonlinear internal dynamics via sliding mode control using method of system center. Automatica, 38, 837–842.
   Web of Science ®Google Scholar
• Sira-Ramirez, H. (2002). Sliding modes, passivity, and flatness. In W. Perruquetti, & J.P. Barbot (Eds.), Sliding mode control in engineering. (pp.163–190) New York: M. Dekker.
   Google Scholar
• Utkin, V.I., Poznyak, A.S., & Ordaz, P. (2011, December). Adaptive super-twist control with minimal chattering effect. In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) (pp. 7009–7014). Orlando, FL: IEEE.
   Google Scholar
• Bartolini, G., Punta, E., (2012. Sliding mode output-feedback stabilization of uncertain nonlinear nonaffine systems. Automatica, 48, 3106–3113.
   Web of Science ®Google Scholar