Abstract
In the formulation of any practical control problem, there will always be a discrepancy between the actual plant and its mathematical model used for the controller design. These discrepancies (or mismatches) arise from unknown external disturbances, plant parameters, and parasitic/unmodeled dynamics. Designing control laws that provide the desired performance to the closed-loop system in the presence of these disturbances/uncertainties is a very challenging task for a control engineer. This has led to intense interest in the development of the so-called robust control methods which are supposed to solve this problem. One particular approach to robust controller design is the so-called sliding mode control technique.
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DeCarlo, R.A., Drakunov, S., Li, X.: A unifying characterization of sliding mode control: a Lyapunov approach. ASME J. Dyn. Syst. Meas. Control 122(4), 708–718 (2000)
Drakunov, S.V., Utkin, V.: Sliding mode control in dynamic systems. Int. J. Control 55(4), 1029–1037 (1992)
Drazenivic, B.: The invariance conditions for variable structure systems. Automatica 5(3), 287–295 (1969)
Edwards, C., Spurgeon, S.: Sliding Mode Control: Theory and Applications. Taylor and Francis, London (1998)
Emelyanov, S.V., Korovin, S.K.: Applying the principle of control by deviation to extend the set of possible feedback types. Sov. Phys. Dokl. 26(6), 562–564 (1981)
Fridman, L., Levant, A.: Higher order sliding modes as the natural phenomena of control theory. In: Garafalo, F., Glielmo, G. (eds.) Robust Control Variable Structure and Lyapunov Techniques, pp. 107–133. Springer, Berlin (1996)
Fridman, L., Levant, A.: Higher order sliding modes. In: Barbot, J.P., Perruguetti, W. (eds.) Sliding Mode Control in Engineering, pp. 53–102. Dekker, New York (2002)
Itkis, Y.: Control Systems of Variable Structure. Wiley, New York (1976)
Levant, A.: Robust exact differentiation via sliding mode technique. Automatica 34(3), 379–384 (1998)
Levant, A., Levantovsky, L.V.: Sliding order and sliding accuracy in sliding mode control. Int. J. Control 586, 1247–1263 (1993)
Orlov, Y.: Discontinuous Control. Springer, Berlin (2009)
Orlov, Y., Aguilar, L., Cadiou, J.C.: Switched chattering control vs. backlash/friction phenomena in electrical servo-motors. Int. J. Control 76(9–10), 959–967 (2003)
Utkin, V.I.: Sliding Modes in Optimization and Control Problems. Springer, New York (1992)
Utkin, V.I.: Variable structure systems with sliding modes. IEEE Trans. Automat. Contr. 22(2), 212–222 (1977)
Utkin, V.I.: First stage of VSS: peolpe and events. In: Yu, X., Xu, J. (eds.) Variable Structure Systems: Towards the 21st Century. Lecture Notes in Control and Information Sciences, vol. 247, pp. 1–33. Springer, Berlin (2002)
Utkin, V., Guldner, J., Shi, J.: Sliding Mode Control in Electromechanical Systems. Taylor and Francis, London (1999)
Young, K.D., Utkin, V.I., Ozguner, U.: A control engineer’s guide to sliding mode control. IEEE Trans. Contr. Syst. Tech. 7(3), 328–342 (1999)
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Shtessel, Y., Edwards, C., Fridman, L., Levant, A. (2014). Introduction: Intuitive Theory of Sliding Mode Control. In: Sliding Mode Control and Observation. Control Engineering. Birkhäuser, New York, NY. https://doi.org/10.1007/978-0-8176-4893-0_1
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