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Discrete-Time Systems

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Abstract

Discretization of continuous-time models is considered. Definition of SM for discrete-time systems is presented. The behavior under uncertainties of discrete-time systems, controlled by SM, is briefly discussed.

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References

  1. Milosavlevic, C.: General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems. Autom. Remote Control 46(3), 307–314 (1985)

    Google Scholar 

  2. Sarpturk, S.Z., Istefanopulos, Y., Kaynak, O.: On the stability of discrete-time sliding mode control systems. IEEE Trans. Autom. Control 32(10), 930–932 (1987)

    Article  Google Scholar 

  3. Gao, W., Wang, Y., Homaifa, A.: Discrete-time variable structure control systems. IEEE Trans. Ind. Electron. 42(2), 117–122 (1995)

    Article  Google Scholar 

  4. Furuta, K.: Sliding mode control of discrete system. Syst. Control Lett. 14(2), 145–152 (1990)

    Article  MathSciNet  Google Scholar 

  5. Drakunov, S.V., Utkin, V.I.: On discrete-time sliding modes. In: IFAC Conference on Nonlinear Control System Design. Capri, Italy (1989)

    Google Scholar 

  6. Utkin, V.I.: Variable Structure and Lyapunov Control. In: Sliding Mode Control in Discrete-Time and Difference Systems. Springer, Berlin (1993)

    Google Scholar 

  7. Hui, S., Zak, S.H.: On discrete-time variable structure sliding mode control. Syst. Control Lett. 38(4), 283–288 (1999)

    Article  MathSciNet  Google Scholar 

  8. Brogliato, B., Acary, V., Orlov, Y.: Chattering-free digital sliding-mode control with state observer and disturbance rejection. IEEE Trans. Autom. Control 57(5), 1087–1101 (2012)

    Article  MathSciNet  Google Scholar 

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Correspondence to Vadim Utkin .

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Utkin, V., Poznyak, A., Orlov, Y.V., Polyakov, A. (2020). Discrete-Time Systems. In: Road Map for Sliding Mode Control Design. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-41709-3_8

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