Chaos control of an SMA–pendulum system using thermal actuation with extended time-delayed feedback approach

Dimitri Danulussi Alves Costa, Marcelo A. Savi (Corresponding Author)

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Chaos control has been applied to a variety of systems exploiting system dynamics characteristics that present advantages of low energy consumption when compared with regular controllers. This work deals with the chaos control of a smart system composed of a pendulum coupled with shape memory alloy (SMA) elements. SMAs belong to smart material class being employed in several applications due to their adaptive behavior. The basic idea is to apply the extended time-delayed feedback control on an SMA–pendulum system by exploring the SMA temperature-dependent behavior. Actuation constraints are considered based on heat transfer equations. Controller parameters are estimated using Floquet theory employed to analyze controlled unstable periodic orbits (UPOs). Results show the capability of the thermal controller to perform UPO stabilization. Energy consumption and stabilization time are discussed establishing a comparison with an ideal controller, without heat transfer constraints.
Original languageEnglish
Pages (from-to)571–583
Number of pages13
JournalNonlinear Dynamics
Volume93
Issue number2
Early online date24 Mar 2018
DOIs
Publication statusPublished - Jul 2018

Fingerprint

Control of Chaos
Delayed Feedback
Chaos theory
Feedback
Controller
Controllers
Shape Memory
Shape memory effect
Periodic Orbits
Energy Consumption
Heat Transfer
Orbits
Stabilization
Energy utilization
Unstable
Heat transfer
Delayed Feedback Control
Smart Materials
Adaptive Behavior
Chaos Control

Keywords

  • nonlinear dynamics
  • chaos
  • shape memory alloys
  • pendulum
  • control

Cite this

Chaos control of an SMA–pendulum system using thermal actuation with extended time-delayed feedback approach. / Danulussi Alves Costa, Dimitri; Savi, Marcelo A. (Corresponding Author).

In: Nonlinear Dynamics, Vol. 93, No. 2, 07.2018, p. 571–583 .

Research output: Contribution to journalArticle

Danulussi Alves Costa, Dimitri ; Savi, Marcelo A. / Chaos control of an SMA–pendulum system using thermal actuation with extended time-delayed feedback approach. In: Nonlinear Dynamics. 2018 ; Vol. 93, No. 2. pp. 571–583 .
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