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Discrete-Time Stochastic Sliding Mode Control Using Functional Observation pp 71–96Cite as

Functional Observer-Based Sliding Mode Control for Discrete-Time Delayed Stochastic Systems

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 483))

Abstract

This chapter addresses the problem of stabilisation, observer-based  sliding mode control, and functional observer-based  sliding mode control. An SMC method is proposed for discrete-time delayed stochastic systems. Stability and convergence analyses of the proposed method are provided. Furthermore, the DSMC of a delayed stochastic system for incomplete state information has also been considered, where states are estimated by the Kalman filter approach. A functional observer-based  SMC method for discrete-time delayed stochastic systems is proposed. Therefore, the SMC has been estimated by the functional observer approach. Finally, functional observer-based state feedback and the SMC law are compared graphically as well as numerically.

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India

    Satnesh Singh & S. Janardhanan

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  1. Satnesh Singh
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  2. S. Janardhanan
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Correspondence to Satnesh Singh .

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Singh, S., Janardhanan, S. (2020). Functional Observer-Based Sliding Mode Control for Discrete-Time Delayed Stochastic Systems. In: Discrete-Time Stochastic Sliding Mode Control Using Functional Observation. Lecture Notes in Control and Information Sciences, vol 483. Springer, Cham. https://doi.org/10.1007/978-3-030-32800-9_6

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