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Sliding Mode Control based Tracking of Non-Differentiable Reference Functions

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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 gives an insight into the class of tracking problems in nonlinear systems for which the first-order derivative of the reference function does not exist. Using classical sliding mode control, only a restricted class of reference functions can be tracked. A solution to this problem by using fractional-order operators is proposed. The technique works provided the reference function satisfies the Hölder condition. Notably, its application to a switch-controlled RL circuit is demonstrated and some of the possible applications have been discussed.

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi, 221005, Uttar Pradesh, India

    Shyam Kamal & Rahul Kumar Sharma

Authors
  1. Shyam Kamal
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  2. Rahul Kumar Sharma
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Correspondence to Shyam Kamal .

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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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Kamal, S., Sharma, R.K. (2021). Sliding Mode Control based Tracking of Non-Differentiable Reference Functions. 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_3

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