Second-order sliding mode approaches for the control of a class of underactuated systems

Sonia Mahjoub, Faiçal Mnif, Nabil Derbel

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In this paper, first-order and second-order sliding mode controllers for underactuated manipulators are proposed. Sliding mode control (SMC) is considered as an effective tool in different studies for control systems. However, the associated chattering phenomenon degrades the system performance. To overcome this phenomenon and track a desired trajectory, a twisting, a super-twisting and a modified super-twisting algorithms are presented respectively. The stability analysis is performed using a Lyapunov function for the proposed controllers. Further, the four different controllers are compared with each other. As an illustration, an example of an inverted pendulum is considered. Simulation results are given to demonstrate the effectiveness of the proposed approaches.

Original languageEnglish
Pages (from-to)134-141
Number of pages8
JournalInternational Journal of Automation and Computing
Volume12
Issue number2
DOIs
Publication statusPublished - Apr 1 2015

Fingerprint

Underactuated System
Sliding Mode
Controller
Controllers
Chattering
Inverted Pendulum
Sliding mode control
Sliding Mode Control
Lyapunov functions
Pendulums
Manipulator
Lyapunov Function
Manipulators
System Performance
Stability Analysis
Control System
Trajectories
Trajectory
First-order
Control systems

Keywords

  • inverted pendulum
  • sliding mode control
  • super-twisting algorithm
  • twisting algorithm
  • Underactuated manipulator

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Applied Mathematics

Cite this

Second-order sliding mode approaches for the control of a class of underactuated systems. / Mahjoub, Sonia; Mnif, Faiçal; Derbel, Nabil.

In: International Journal of Automation and Computing, Vol. 12, No. 2, 01.04.2015, p. 134-141.

Research output: Contribution to journalArticle

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