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6 Discrete-time Terminal Sliding Mod: Concept

  • B. Bandyopadhyay
  • S. Janardhanan
Chapter
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 323)

Abstract

The behavior of the system in sliding mode is determined by the sliding manifold upon which the system states are constrained. Sliding hyperplanes, being the most generally used manifolds guarantee asymptotic stability of the system in the sliding mode. This would mean that the system states converge to the origin, but generally at an infinite time. Terminal sliding mode (TSM) control [55] aims at designing a sliding mode control strategy that would guarantee a finite time convergence to the origin. This is accomplished by using a nonlinear sliding line which results in finite time convergence [30]. The concept of terminal sliding mode in continuous time systems has been studied in detail [56, 79–81]. The discrete-time equivalent of the continuous time terminal sliding mode control would be investigated in this chapter.

Keywords

Control Input Slide Mode Control Sliding Mode Time Convergence Continuous Time System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  • B. Bandyopadhyay
    • 1
  • S. Janardhanan
    • 1
  1. 1.Interdisciplinary Programme in Systems and Control Engineering Mumbai-400 076India

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