Certainty equivalence adaptation combined with super-twisting sliding-mode control

References

• Barth, A., Reichhartinger, M., Reger, J., Horn, M., & Wulff, K. (2015). Lyapunov-design for a super-twisting sliding-mode controller using the certainty-equivalence principle. 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON-2015). St. Petersburg.
   Google Scholar
• Bartolini, G., Ferrara, A., Giacomini, L., & Usai, E. (1996). A combined backstepping/second order sliding mode approach to control a class of nonlinear systems. 4th IEEE VSS (pp. 205–210). Tokyo.
   Google Scholar
• Bartolini, G., Ferrara, A., Giacomini, L., & Usai, E. (2000). Properties of a combined adaptive/second-order sliding mode control algorithm for some classes of uncertain nonlinear systems. IEEE Transactions on Automatic Control, 45(7), 1334–1341.
   Web of Science ®Google Scholar
• Boiko, I., Fridman, L., Pisano, A., & Usai, E. (2007). Analysis of chattering in systems with second-order sliding modes. IEEE Transactions on Automatic Control, 52(11), 2085–2102.
   Web of Science ®Google Scholar
• Brégeault, V., Plestan, F., Shtessel, Y., & Poznyak, A. (2010). Adaptive sliding mode control for an electropneumatic actuator. 11th IEEE VSS (pp. 260–265). Mexico City.
   Google Scholar
• Dávila, J., Fridman, L., & Levant, A. (2005). Second-order sliding-mode observer for mechanical systems. IEEE Transactions on Automatic Control, 50(11), 1785–1789.
   Web of Science ®Google Scholar
• Filippov, A.F., & Arscott, F.M. (1988). Differential equations with discontinuous righthand sides. Dordrecht: Kluwer Academic Publishers.
   Google Scholar
• Hsu, L., & Costa, R.R. (1989). Variable structure model reference adaptive control using only input and output measurements: Part i. IJC, 49(2), 399–416.
   Google Scholar
• Kanellakopoulos, I., Kokotovic, P., & Morse, A. (1991). Systematic design of adaptive controllers for feedback linearizable systems. IEEE Transactions on Automatic Control, 36(11), 1241–1253.
   Web of Science ®Google Scholar
• Kochalummoottil, J., Shtessel, Y., Moreno, J., & Fridman, L. (2011). Adaptive twist sliding mode control: A Lyapunov design. 50th IEEE CDC (pp. 7623–7628). Orlando, FL.
   Google Scholar
• Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control. IJC, 58(6), 1247–1263.
   Google Scholar
• Levant, A. (2003). Higher-order sliding modes, differentiation and output-feedback control. IJC, 76(9–10), 924–941.
   Google Scholar
• Moreno, J., & Osorio, M. (2008). A Lyapunov approach to second-order sliding mode controllers and observers. 47th IEEE VSS (pp. 2856–2861). Cancún.
   Google Scholar
• Oza, H., Orlov, Y., & Spurgeon, S. (2012). Tuning rules for second order sliding mode based output feedback synthesis. 12th IEEE VSS (pp. 130–135). Mumbai.
   Google Scholar
• Pilloni, A., Pisano, A., & Usai, E. (2012). Parameter tuning and chattering adjustment of super-twisting sliding mode control system for linear plants. 12th IEEE VSS (pp. 479–484). Mumbai.
   Google Scholar
• Pisano, A., Davila, A., Fridman, L., & Usai, E. (2008). Cascade control of PM DC drives via second-order sliding-mode technique. IEEE Transactions on Industrial Electronics, 55(11), 3846–3854.
   Web of Science ®Google Scholar
• Reichhartinger, M., & Horn, M. (2012). Cascaded sliding-mode control of permanent magnet synchronous motors. 12th IEEE VSS (pp. 173–177). Mumbai.
   Google Scholar
• Ríos-Bolívar, M., Zinober, A., & Sira-Ramírez, H. (1995). Adaptive sliding mode output tracking via backstepping for uncertain nonlinear system. 3rd ECC (pp. 699–704). Rome.
   Google Scholar
• Rosales, J., Boiko, I., & Fridman, L. (2010). Design of compensators for second order sliding modes. 11th IEEE VSS (pp. 20–25). Mexico City.
   Google Scholar
• Shtessel, Y., Moreno, J., Plestan, F., Fridman, L., & Poznyak, A. (2010). Super-twisting adaptive sliding mode control: A Lyapunov design. 49th IEEE CDC (pp. 5109–5113). Atlanta, GA.
   Google Scholar
• Shtessel, Y., Plestan, F., & Taleb, M. (2011). Lyapunov design of adaptive super-twisting controller applied to a pneumatic actuator. 18th IFAC World Congress (Vol. 18, pp. 3051–3056). Milano.
   Google Scholar
• Shtessel, Y., Taleb, M., & Plestan, F. (2012). A novel adaptive-gain supertwisting sliding mode controller: Methodology and application. Automatica, 48(5), 759–769.
   Web of Science ®Google Scholar
• Sira-Ramírez, H., & Llanes-Santiago, O. (1993). Adaptive dynamical sliding mode control via backstepping. 32nd IEEE VSS (pp. 1422–1427). San Antonio, TX.
   Google Scholar
• Slotine, J., & Li, W. (1991). Applied nonlinear control. New York, NY: Prentice Hall.
   Google Scholar
• Utkin, V. (1977). Variable structure systems with sliding modes. IEEE Transactions on Automatic Control, 22(2), 212–222.
   Web of Science ®Google Scholar
• Utkin, V., Guldner, J., & Shi, J. (2009). Sliding mode control in electromechanical systems. Boca Raton, FL: CRC Press.
   Google Scholar