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Design of Sliding Mode Control for Discrete-Time Stochastic Systems with Bounded Disturbances

  • Satnesh SinghEmail author
  • S. Janardhanan
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 483)

Abstract

In this chapter, the problem of stochastic sliding mode control (SSMC) systems with bounded disturbances is considered and the corresponding SSMC strategies with complete and incomplete state information in the presence of bounded disturbances is established. Using the Kalman filter, we estimate incomplete state information. Also, a stability analysis of bounded disturbances is established. A simulation example is provided to demonstrate the usefulness of the proposed design method.

Keywords

Stochastic sliding mode control Bounded disturbances Stochastic sliding mode Discrete time systems Kalman filter 

References

  1. 1.
    Zheng, F., Cheng, M., Gao, W.B.: Syst. Control Lett. 22(3), 209 (1994)CrossRefGoogle Scholar
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    Kalman, R.E., Bucy, R.S.: Trans. ASME Ser. D J. Basic Eng, 109 (1961)Google Scholar
  3. 3.
    Nagpal, K.M., Helmick, R.E., Sims, C.S.: Int. J. Control 45(6), 1867 (1987)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Electrical EngineeringIndian Institute of Technology DelhiNew DelhiIndia

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