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Discrete-Time Sliding Mode Control for Networked Control System

  • Dipesh H. Shah
  • Axaykumar Mehta
Book

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 132)

About this book

Introduction

This book presents novel algorithms for designing Discrete-Time Sliding Mode Controllers (DSMCs) for Networked Control Systems (NCSs) with both types of fractional delays namely deterministic delay and random delay along with different packet loss conditions such as single packet loss and multiple packet loss that occur within the sampling period. Firstly, the switching type and non-switching type algorithms developed for the deterministic type fractional delay where the delay is compensated using Thiran’s approximation technique. A modified discrete-time sliding surface is proposed to derive the discrete-time sliding mode control algorithms. The algorithm is further extended for the random fractional delay with single packet loss and multiple packet loss situations. The random fractional delay is modelled using Poisson’s distribution function and packet loss is modelled by means of Bernoulli’s function. The condition for closed loop stability in all above situations are derived using the Lyapunov function. Lastly, the efficacy of the proposed DSMC algorithms are demonstrated by extensive simulations and also experimentally validated on a servo system.

Keywords

Discrete-Time Sliding Mode Control Networked Control System Fractional Time Delay Packet Loss Multi-rate Output Feedback DSMC for NCSs

Authors and affiliations

  • Dipesh H. Shah
    • 1
  • Axaykumar Mehta
    • 2
  1. 1.Department of Instrumentation and ControlSardar Vallabhbhai Patel Institute of TechnologyAnandIndia
  2. 2.Department of Electrical EngineeringInstitute of Infrastructure Technology Research and ManagementAhmedabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-7536-0
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-981-10-7535-3
  • Online ISBN 978-981-10-7536-0
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
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