Functional Observer-Based Sliding Mode Control for Discrete-Time Delayed Stochastic Systems

  • Satnesh SinghEmail author
  • S. Janardhanan
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 483)


This chapter addresses the problem of stabilisation, observer-based  sliding mode control, and functional observer-based  sliding mode control. An SMC method is proposed for discrete-time delayed stochastic systems. Stability and convergence analyses of the proposed method are provided. Furthermore, the DSMC of a delayed stochastic system for incomplete state information has also been considered, where states are estimated by the Kalman filter approach. A functional observer-based  SMC method for discrete-time delayed stochastic systems is proposed. Therefore, the SMC has been estimated by the functional observer approach. Finally, functional observer-based state feedback and the SMC law are compared graphically as well as numerically.


Discrete-time systems Stochastic system State delay Sliding mode control State estimation Linear matrix inequalities Kalman filter Linear functional observer 


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Authors and Affiliations

  1. 1.Department of Electrical EngineeringIndian Institute of Technology DelhiNew DelhiIndia

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