This paper is devoted to present a theorem on a new property of noninvasive control methods applied to stabilize unstable periodic orbits (UPOs). This property is related to the optimal energy consumption of the controller in the presence of noise. The approach of parameter optimization is applied to study optimal energy consumption of the controller. Throughout this paper, the problem of energy consumption of the controller is studied when the system state is close to the UPO, and fluctuates around it because of the presence of noise.
A New Property of Noninvasive Control Methods Applied to Stabilize Unstable Periodic Orbits
Shahid Rajaee Teacher Training University,
Tehran 1876773467, Iran
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 10, 2017; final manuscript received March 9, 2018; published online April 2, 2018. Assoc. Editor: Eihab Abdel-Rahman.
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Montazeri, S., and Rahmani Hanzaki, A. (April 2, 2018). "A New Property of Noninvasive Control Methods Applied to Stabilize Unstable Periodic Orbits." ASME. J. Comput. Nonlinear Dynam. May 2018; 13(5): 051007. https://doi.org/10.1115/1.4039628
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