References
- Alwi, H., & Edwards, C. (2013). An adaptive sliding mode differentiator for actuator oscillatory failure case reconstruction. Automatica, 49, 642–651.
- Bartolini, G., Levant, A., Plestan, F., Taleb, M., & Punta, E. (2013). Adaptation of sliding modes. IMA Journal of Mathematical Control and Information, 30, 885–300.
- Boiko, I., & Fridman, L. (2005). Analysis of chattering in continuous sliding mode controllers. IEEE Transactions on Automatic Control, 50, 1442–1446.
- Boyd, S., Ghaoui, L.E., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in systems and control theory. Philadelphia, PA: SIAM.
- Deimling, K. (1992). Multivalued differential equations. Berlin: Walter De Gruyer.
- Edwards, C., & Shtessel, Y. (2014). Dual-layer adaptive sliding mode control. American Control Conference, Portland, OR.
- Gonzalez, T., Moreno, J., & Fridman, L. (2012). Variable gain super-twisting sliding mode control. IEEE Transactions on Automatic Control, 57, 2100–2015.
- Khalil, H. (1992). Nonlinear systems. Englewood Cliffs, NJ: Prentice Hall.
- Kobayashi, S., & Furuta, K. (2007). Frequency characteristics of Levant's differentiator and adaptive sliding mode differentiator. International Journal of Systems Science, 38, 825–832.
- Lee, H., & Utkin, V. (2007). Chattering suppression methods in sliding mode control systems. Annual Reviews in Control, 31, 179–188.
- Levant, A. (1998). Robust exact differentiation via sliding mode technique. Automatica, 34, 379–84.
- Moreno, J.A., & Osorio, M. (2008). A Lyapunov approach to second-order sliding mode controllers and observers. In 47th IEEE Conference on Decision and Control (pp. 2856–2861).
- Plestan, F., Shtessel, Y., Bregeault, V., & Poznyak, A. (2010). New methodologies for adaptive sliding mode control. International Journal of Control, 83, 1907–1919.
- Shtessel, Y., Edwards, C., Fridman, L., & Levant, A. (2013). Sliding mode control and observation. Springer, New York: Birkhauser.
- Shtessel, Y., Taleb, M., & Plestan, F. (2012). A novel adaptive-gain supertwisting sliding mode controller: Methodology and application. Automatica, 48, 759–769.
- Taleb, M., Levant, A., & Plestan, F. (2013). Electropneumatic actuator control: Solutions based on adaptive twisting algorithm and experimentation. Control Engineering Practice, 21, 727–736.
- Utkin, V.I. (1992). Sliding modes in control optimization. Berlin: Springer-Verlag.
- Utkin, V., & Poznyak, A. (2013a). Adaptive Sliding Mode Control. In B. Bandyopadhyay, S. Janardhanan, & S. Spurgeon (Eds.), (Vol. 440, pp. 21–53). Berlin: Springer.
- Utkin, V., & Poznyak, A. (2013b). Adaptive sliding mode control with application to super-twisting algorithm: Equivalent control method. Automatica, 49, 39–47.