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Functional observer-based sliding mode control for linear discrete-time-delayed stochastic systems

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  • Satnesh Singh
  • S. Janardhanan

Abstract

Functional observers are the primary solution to sundry estimation problems, wherein full- or reduced-order observer cannot be directly applied. This paper presents a functional observer-based sliding mode control method for the linear discrete-time delayed stochastic system. Stability analysis of sliding function is presented for the delayed stochastic system with a linear matrix inequality approach. The functional observer method for the linear discrete-time-delayed stochastic system is proposed based on the Kronecker product approach. Sliding mode controller is estimated using the functional observer method. Finally, to demonstrate the efficacy of the proposed design, comparison of its performance with some of the well-known existing state feedback controller is presented.

Suggested Citation

  • Satnesh Singh & S. Janardhanan, 2018. "Functional observer-based sliding mode control for linear discrete-time-delayed stochastic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1895-1907, July.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1895-1907
    DOI: 10.1080/00207721.2018.1479463
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