Adaptive decentralized finite-time output tracking control for MIMO interconnected nonlinear systems with output constraints and actuator faults

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57 Scopus citations

Abstract

In this work, we present a novel adaptive decentralized finite-time fault-tolerant control algorithm for a class of multi-input–multi-output interconnected nonlinear systems with output constraint requirements for each vertex. The actuator for each system can be subject to unknown multiplicative and additive faults. Parametric system uncertainties that model the system dynamics for each vertex can be effectively dealt with by the proposed control scheme. The control input gain functions of the nonlinear systems can be not fully known and state dependent. Backstepping design with a tan-type barrier Lyapunov function and a new structure of stabilizing function is presented. We show that under the proposed control scheme, with the use of graph theory, finite-time convergence of the system output tracking error into a small set around zero is guaranteed for each vertex, while the time-varying constraint requirement on the system output tracking error for each vertex will not be violated during operation. An illustrative example on 2 interacting 2-degree-of-freedom robot manipulators is presented in the end to further demonstrate the effectiveness of the proposed control scheme.

Original languageEnglish
Pages (from-to)1808-1829
Number of pages22
JournalInternational Journal of Robust and Nonlinear Control
Volume28
Issue number5
DOIs
StatePublished - Mar 25 2018

Bibliographical note

Publisher Copyright:
Copyright © 2017 John Wiley & Sons, Ltd.

Keywords

  • actuator fault
  • adaptive finite-time control
  • decentralized control
  • interconnected nonlinear systems
  • output constraint

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering (all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

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