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Discrete Stochastic Sliding Mode with Functional Observation

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Emerging Trends in Sliding Mode Control

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 318))

Abstract

This chapter presents a functional observer-based sliding mode control (SMC) for discrete-time stochastic systems, both uncertainty-free systems and systems with uncertainty are considered. Existence conditions and stability analysis of the SMC functional observer are given. The control input is calculated by a linear functional observer. The functional observer is designed in such a way that the effect of process and measurement noise is minimized. Furthermore, functional observer-based SMC design with unmatched uncertainty is discussed and a disturbance-dependent sliding function method is discussed such that the effect of unmatched uncertainty of the system is minimized. An SMC is calculated using the functional observer method. Finally, a simulation example is given to show the effectiveness of the method presented.

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Author information

Authors and Affiliations

  1. ASRI, Department of Electrical and Computer Engineering, Seoul National University, Seoul, 08826, South Korea

    Satnesh Singh

  2. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, 110016, India

    S. Janardhanan

Authors
  1. Satnesh Singh
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  2. S. Janardhanan
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Corresponding author

Correspondence to Satnesh Singh .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Institute of Infrastructure, Technology, Research and Management, Ahmedabad, Gujarat, India

    Axaykumar Mehta

  2. Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, Maharashtra, India

    Bijnan Bandyopadhyay

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Singh, S., Janardhanan, S. (2021). Discrete Stochastic Sliding Mode with Functional Observation. In: Mehta, A., Bandyopadhyay, B. (eds) Emerging Trends in Sliding Mode Control. Studies in Systems, Decision and Control, vol 318. Springer, Singapore. https://doi.org/10.1007/978-981-15-8613-2_5

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