Abstract
A method of using feedback control to promote or suppress the transition to chaos in porous media convection is demonstrated in this paper. Feedback control is used in the present paper to provide a comparison between an analytical expression for the transition point to chaos and numerical results. In addition it is shown that such a feedback control can be applied as an excellent practical means for controlling (suppressing or promoting) chaos by using a Magyari transformation. The latter shows that the controlled model can be transformed into the uncontrolled one via a simple transformation of variables implying that the main effect the feedback control has on the solution is equivalent to altering the initial conditions. The theoretical and practical significance of such an equivalent alteration of the initial conditions is presented and discussed.
| Original language | English (US) |
|---|---|
| Title of host publication | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |
| Pages | 107-114 |
| Number of pages | 8 |
| Volume | 6 |
| Edition | PARTS A AND B |
| State | Published - 2011 |
| Event | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States Duration: Nov 11 2011 → Nov 17 2011 |
Other
| Other | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |
|---|---|
| Country | United States |
| City | Denver, CO |
| Period | 11/11/11 → 11/17/11 |
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ASJC Scopus subject areas
- Mechanical Engineering
Cite this
Promoting or suppressing transition to weak turbulence in porous media convection via feedback control. / Vadasz, Peter.
ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011. Vol. 6 PARTS A AND B. ed. 2011. p. 107-114.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Promoting or suppressing transition to weak turbulence in porous media convection via feedback control
AU - Vadasz, Peter
PY - 2011
Y1 - 2011
N2 - A method of using feedback control to promote or suppress the transition to chaos in porous media convection is demonstrated in this paper. Feedback control is used in the present paper to provide a comparison between an analytical expression for the transition point to chaos and numerical results. In addition it is shown that such a feedback control can be applied as an excellent practical means for controlling (suppressing or promoting) chaos by using a Magyari transformation. The latter shows that the controlled model can be transformed into the uncontrolled one via a simple transformation of variables implying that the main effect the feedback control has on the solution is equivalent to altering the initial conditions. The theoretical and practical significance of such an equivalent alteration of the initial conditions is presented and discussed.
AB - A method of using feedback control to promote or suppress the transition to chaos in porous media convection is demonstrated in this paper. Feedback control is used in the present paper to provide a comparison between an analytical expression for the transition point to chaos and numerical results. In addition it is shown that such a feedback control can be applied as an excellent practical means for controlling (suppressing or promoting) chaos by using a Magyari transformation. The latter shows that the controlled model can be transformed into the uncontrolled one via a simple transformation of variables implying that the main effect the feedback control has on the solution is equivalent to altering the initial conditions. The theoretical and practical significance of such an equivalent alteration of the initial conditions is presented and discussed.
UR - http://www.scopus.com/inward/record.url?scp=84869154514&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84869154514&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84869154514
SN - 9780791854921
VL - 6
SP - 107
EP - 114
BT - ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
ER -