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Sliding mode control-based linear functional observers for discrete-time stochastic systems

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  • Satnesh Singh
  • Sivaramakrishnan Janardhanan

Abstract

Sliding mode control (SMC) is one of the most popular techniques to stabilise linear discrete-time stochastic systems. However, application of SMC becomes difficult when the system states are not available for feedback. This paper presents a new approach to design a SMC-based functional observer for discrete-time stochastic systems. The functional observer is based on the Kronecker product approach. Existence conditions and stability analysis of the proposed observer are given. The control input is estimated by a novel linear functional observer. This approach leads to a non-switching type of control, thereby eliminating the fundamental cause of chatter. Furthermore, the functional observer is designed in such a way that the effect of process and measurement noise is minimised. Simulation example is given to illustrate and validate the proposed design method.

Suggested Citation

  • Satnesh Singh & Sivaramakrishnan Janardhanan, 2017. "Sliding mode control-based linear functional observers for discrete-time stochastic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3246-3253, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3246-3253
    DOI: 10.1080/00207721.2017.1367973
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    Cited by:

    1. M. De la Sen, 2018. "On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems," Mathematics, MDPI, vol. 6(5), pages 1-18, May.

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