TY - GEN
T1 - Accounting for nonlinearities in protocols for open-loop fault compensation
AU - DiBerardino, Louis A.
AU - Dankowicz, Harry
PY - 2012
Y1 - 2012
N2 - In this paper, we consider model examples of dynamical systems with only a few degrees of freedom and with desirable symmetry properties and explore compensating control strategies for retaining robust symmetric system response even under symmetry-breaking defects. The analysis demonstrates the distinct differences between linear versions of these models, in which open-loop fault-compensating strategies are always found, and weakly nonlinear counterparts with varying degrees of asymmetry, for which a multitude of locally optimal solutions may co-exist. We further formulate a candidate open-loop optimization protocol for fault compensation applied to self-healing systems, which respond to symmetry-breaking defects by a continuous process of fault correction. The analysis shows that such a protocol exhibits discontinuous changes in the control strategy as the self-healing system successively regains its original symmetry properties. In addition, it is argued that upon return to a symmetric configuration, such a protocol may result in a different control strategy from that applied prior to the occurrence of a fault.
AB - In this paper, we consider model examples of dynamical systems with only a few degrees of freedom and with desirable symmetry properties and explore compensating control strategies for retaining robust symmetric system response even under symmetry-breaking defects. The analysis demonstrates the distinct differences between linear versions of these models, in which open-loop fault-compensating strategies are always found, and weakly nonlinear counterparts with varying degrees of asymmetry, for which a multitude of locally optimal solutions may co-exist. We further formulate a candidate open-loop optimization protocol for fault compensation applied to self-healing systems, which respond to symmetry-breaking defects by a continuous process of fault correction. The analysis shows that such a protocol exhibits discontinuous changes in the control strategy as the self-healing system successively regains its original symmetry properties. In addition, it is argued that upon return to a symmetric configuration, such a protocol may result in a different control strategy from that applied prior to the occurrence of a fault.
KW - Bifurcations
KW - Nonlinear dynamics
KW - Open-loop optimization
KW - Symmetry correction
UR - http://www.scopus.com/inward/record.url?scp=84884634491&partnerID=8YFLogxK
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U2 - 10.1115/DETC2012-70387
DO - 10.1115/DETC2012-70387
M3 - Conference contribution
AN - SCOPUS:84884634491
SN - 9780791845059
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 93
EP - 104
BT - ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
T2 - ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Y2 - 12 August 2012 through 12 August 2012
ER -