TY - GEN
T1 - Feedback control of periodic delayed systems
AU - Nazari, Morad
AU - Bobrenkov, Oleg A.
AU - Butcher, Eric A.
PY - 2013
Y1 - 2013
N2 - In this study, three control strategies based on Chebyshev spectral collocation and the Lyapunov-Floquet transformation (LFT) are explored for regulation control of linear periodic time delayed systems. In previous studies, control design based on Chebyhev spectral continuous time approximation (CSCTA) has been demonstrated for the delayed systems and the LFT has been utilized for the control of time-periodic non-delayed systems. However, the combined use of CSCTA and reduced LFT (RLFT) has thus far not been investigated for their application in control design for delayed periodic systems. The delayed Mathieu equation is used as an illustrative example, and the closed-loop response of the system and the control effort are investigated for all three control strategies.
AB - In this study, three control strategies based on Chebyshev spectral collocation and the Lyapunov-Floquet transformation (LFT) are explored for regulation control of linear periodic time delayed systems. In previous studies, control design based on Chebyhev spectral continuous time approximation (CSCTA) has been demonstrated for the delayed systems and the LFT has been utilized for the control of time-periodic non-delayed systems. However, the combined use of CSCTA and reduced LFT (RLFT) has thus far not been investigated for their application in control design for delayed periodic systems. The delayed Mathieu equation is used as an illustrative example, and the closed-loop response of the system and the control effort are investigated for all three control strategies.
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U2 - 10.1115/DETC2013-12127
DO - 10.1115/DETC2013-12127
M3 - Conference contribution
AN - SCOPUS:84896997644
SN - 9780791855973
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
PB - American Society of Mechanical Engineers
T2 - ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
Y2 - 4 August 2013 through 7 August 2013
ER -