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Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications pp 289–304Cite as

Discrete Event-Triggered Sliding Mode Control

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 115))

Abstract

Event-triggered control is a novel control implementation strategy where control signal is updated in aperiodic manner such that the stability of the system is retained. Here, event condition is continuously monitored to generate the triggering instant. So, this minimizes resource utilization and control effort while achieving certain control objective. Recently, event-triggered sliding mode control (SMC) is proposed in [25, 31] to ensure the robust stability in the presence of disturbance. In this strategy also, the plant state is continuously monitored for generating possible triggering instant. In order to avoid this continuous measurement, we propose an event-triggering strategy which evaluates the event at periodic interval only known as discrete event-triggered control. This strategy is very appealing if the state measurements are available only at periodic intervals. Here, with this discrete state measurements, the discrete event-triggered SMC is designed to guarantee the system stability. The event is detected only at periodic intervals and the control signal is updated whenever it is violated at these periodic instants. So, there is always a guaranteed lower bound for inter event time which is the time between two sampled measurements. Simulation results are given to demonstrate the efficacy of the proposed technique.

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Notes

  1. 1.

    A matrix is said to be Schur stable if all the eigenvalues of this matrix are located within an unit disk in complex plane.

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Authors and Affiliations

  1. Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India

    Abhisek K. Behera & Bijnan Bandyopadhyay

Authors
  1. Abhisek K. Behera
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  2. Bijnan Bandyopadhyay
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Corresponding author

Correspondence to Bijnan Bandyopadhyay .

Editor information

Editors and Affiliations

  1. School of Automation, Southeast University, Nanjing, China

    Shihua Li

  2. Research & Innovation Portfolio, RMIT University, Melbourne, Victoria, Australia

    Xinghuo Yu

  3. Division of Electrical Engineering, National Autonomous University of Mexico, Mexico City, Distrito Federal, Mexico

    Leonid Fridman

  4. Faculty of Science, Engineering and Technology, Swinburne University of Technology, Melbourne, Victoria, Australia

    Zhihong Man

  5. School of Automation, Southeast University, Nanjing, China

    Xiangyu Wang

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Behera, A.K., Bandyopadhyay, B. (2018). Discrete Event-Triggered Sliding Mode Control. In: Li, S., Yu, X., Fridman, L., Man, Z., Wang, X. (eds) Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications. Studies in Systems, Decision and Control, vol 115. Springer, Cham. https://doi.org/10.1007/978-3-319-62896-7_12

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  • DOI: https://doi.org/10.1007/978-3-319-62896-7_12

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