Controlling coexisting attractors of an impacting system via linear augmentation
Liu, Y; Páez Chávez, J
Date: 23 March 2017
Journal
Physica D: Nonlinear Phenomena
Publisher
Elsevier
Publisher DOI
Abstract
This paper studies the control of coexisting attractors in an impacting system via a recently developed
control law based on linear augmentation. Special attention is given to two control issues in the framework
of multistable engineering systems, namely, the switching between coexisting attractors without altering
the system’s main ...
This paper studies the control of coexisting attractors in an impacting system via a recently developed
control law based on linear augmentation. Special attention is given to two control issues in the framework
of multistable engineering systems, namely, the switching between coexisting attractors without altering
the system’s main parameters and the avoidance of grazing-induced chaotic responses. The effectiveness
of the proposed control scheme is confirmed numerically for the case of a periodically excited, soft impact
oscillator. Our analysis shows how path-following techniques for non-smooth systems can be used in order
to determine the optimal control parameters in terms of energy expenditure due to the control signal and
transient behavior of the control error, which can be applied to a broad range of engineering problems
Engineering
Faculty of Environment, Science and Economy
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