Abstract
Sliding mode control (SMC) assures finite time convergence of sliding variables, precise performance of system and robustness with respect to internal and external disturbances during sliding. SMC is associated with chattering due to discontinuous term. Use of higher-order sliding mode (HOSM) leads to spontaneous attenuation of the chattering effect and retain its finite time convergence property. In this manuscript, new continuous control structure is proposed leading to second-order modes. This algorithm gives finite time convergence and continuous control for both relative degree one and relative degree two surfaces. The investigated algorithm is validated in simulation for motion control system.
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References
Edwards, C., Spurgeon, S.: Sliding mode control: theory and applications. CRC Press (1998)
Utkin, Vadim: Variable structure systems with sliding modes. IEEE Trans. Autom. control 22(2), 212–222 (1977)
Utkin, V., Guldner, J., Shijun, M.: Sliding mode control in electro-mechanical systems, vol. 34. CRC Press (1999)
Fridman, L., Levant, A.: Higher order sliding modes as a natural phenomenon in control theory. In: Robust Control Via Variable Structure and Lyapunov Techniques, pp. 107–133. Springer, Berlin, Heidelberg (1996)
Levant, A.: Sliding order and sliding accuracy in sliding mode control. Int. J. Control 58(6), 1247–1263 (1993)
Boiko, I., Fridman, L., Castellanos, M.I.: Analysis of second-order sliding-mode algorithms in the frequency domain. IEEE Trans. Autom. Control 49(6), 946–950 (2004)
Torres-González, V., Fridman, L.M., Moreno, J.A.: Continuous twisting algorithm. In; 2015 54th IEEE Conference on Decision and Control (CDC), pp. 5397–5401. IEEE (2015)
Bhat, S.P., Bernstein, D.S.: Finite-time stability of continuous autonomous systems. SIAM J. Control Opt. 38(3), 751–766 (2000)
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Panhale, A., Kurode, S. (2021). Robust Control Using Modified Continuous Twisting Algorithm for Motion Control System. In: K V, S., Rao, K. (eds) Smart Sensors Measurements and Instrumentation. Lecture Notes in Electrical Engineering, vol 750. Springer, Singapore. https://doi.org/10.1007/978-981-16-0336-5_8
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DOI: https://doi.org/10.1007/978-981-16-0336-5_8
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