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Discrete-Time Stochastic Sliding Mode Control Using Functional Observation pp 1–24Cite as

Preliminary Concepts

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

Abstract

Over the past several decades, a substantial amount of research work has been done in the field of SMC design and discrete-time SMC design (Veselić and Draženović in J. Frankl. Inst. 351(4):1920, 2014, Furuta in Syst. Control Lett. 14(2):145, 1990, Edwards and Spurgeon in Sliding Mode Control: Theory and Applications. Taylor & Francis, Milton Park, 1998, Janardhanan and Bandyopadhyay in IEEE Trans. Autom. Control 51(6):1030, 2006) [1,2,3,4]. In this book, we propose the design of functional observer-based  SMC for discrete-time stochastic systems having deterministic, unmatched uncertain, parametric uncertain, time-delay, and parametric uncertain time delayed in nature. Therefore, a concise introduction to the idea of functional observer design for estimating the state vector and its linear function and stochastic SMC for deterministic systems is provided in this chapter.

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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). Preliminary Concepts. 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_1

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