Multirate Output Feedback-Based Discrete-Time Sliding Mode Controller for NCS Having Deterministic Fractional Delay

  • Dipesh H. ShahEmail author
  • Axaykumar Mehta
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 132)


In Networked Control System, the state feedback SMC is the simplest way for designing controller provided all state information is available. However, in many practical situations in network-based control system most of the states are observable but they are immeasurable. So it is essential to design the SMC controller using output information which is always available. This chapter presents the design of multirate output feedback-based discrete-time sliding mode controller in which the control input is computed using the system outputs and past control signals by taking full advantage of network transmission. A Thiran approximation technique is used to compensate the networked-induced delays for designing sliding mode controller (SMC). The stability of the closed-loop NCSs is derived using Lyapunov approach. Simulations results are presented to demonstrate the effectiveness of the proposed approach.


Multirate output feedback Deterministic network delay Thiran’s approximation Discrete-time sliding mode control Stability 


  1. 1.
    A. Mehta, B. Bandyopadhyay, Multirate output feedback based stochastic sliding mode control. J. Dyn. Syst. Measur. Control 138(12), 124503(1–6) (2016)Google Scholar
  2. 2.
    S. Janardhanan, B. Bandyopadhyay, Output feedback sliding mode control for uncertain system using fast output sampling technique. IEEE Trans. Ind. Electron. 53, 1677–1682 (2006)CrossRefGoogle Scholar
  3. 3.
    S. Janardhanan, V. Kariwala, Multirate-output-feedback-based LQ-optimal discrete-time sliding mode control. IEEE Trans. Autom. Control 53(1), 367–373 (2008)Google Scholar
  4. 4.
    A.J. Mehta, B. Bandyopadhyay, in Frequency-Shaped and Observer-Based Discrete-Time Sliding Mode Control. SpringerBriefs in Applied Sciences and Technology (Springer, New Delhi, 2015)Google Scholar
  5. 5.
    D. Shah, A. Mehta, Output feedback discrete-time networked sliding mode control, in IEEE Proceedings of Recent Advances in Sliding Modes (RASM) (2015), pp. 1–7Google Scholar
  6. 6.
    S. Eduardo Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd edn. (Springer, New York, 1998), ISBN 0-387-98489-5Google Scholar
  7. 7.
    J. Thiran, Recursive digital filters with maximally flat group delay. IEEE Trans. Circuit Theory 18(6), 659–664 (1971)MathSciNetCrossRefGoogle Scholar
  8. 8.
    A. Bartoszewicz, P. Lesniewski, Reaching law approach to the sliding mode control of periodic review inventory systems. IEEE Trans. Autom. Sci. Eng. 11(3), 810–817 (2014)CrossRefGoogle Scholar
  9. 9.
    D. Shah, A. Mehta, Multirate output feedback based discrete-time sliding mode control for fractional delay compensation in NCSs, in IEEE Conference on Industrial Technology (ICIT-2017) (2017), pp. 848–853Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Instrumentation and ControlSardar Vallabhbhai Patel Institute of TechnologyAnandIndia
  2. 2.Department of Electrical EngineeringInstitute of Infrastructure Technology Research and ManagementAhmedabadIndia

Personalised recommendations