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Preliminary Concepts

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

Abstract

Over the past several decades, a substantial amount of research work has been done in the field of SMC design and discrete-time SMC design (Veselić and Draženović in J. Frankl. Inst. 351(4):1920, 2014, Furuta in Syst. Control Lett. 14(2):145, 1990, Edwards and Spurgeon in Sliding Mode Control: Theory and Applications. Taylor & Francis, Milton Park, 1998, Janardhanan and Bandyopadhyay in IEEE Trans. Autom. Control 51(6):1030, 2006) [1, 2, 3, 4]. In this book, we propose the design of functional observer-based  SMC for discrete-time stochastic systems having deterministic, unmatched uncertain, parametric uncertain, time-delay, and parametric uncertain time delayed in nature. Therefore, a concise introduction to the idea of functional observer design for estimating the state vector and its linear function and stochastic SMC for deterministic systems is provided in this chapter.

Keywords

Sliding mode control Continuous-time systems Observers Reduced-order observer State estimation Functional observers Process noise Measurement noise Stochastic sliding mode Discrete-time systems Kalman filter 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

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

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