Abstract
It is shown that the Poincare mapping of the mechanical system with a set-up elastic stop is not smooth near some fixed points so that the current control strategies, such as OGY control, fail to stabilize the chaotic motion of the system. Thus, a piecewise linear control strategy is proposed, which is based on the piecewise linearized Poincare mapping reconstructed from sampled data and on the pole assignment in two regions near the fixed point. The efficacy of the strategy is demonstrated through an example of controlling chaos of a harmonically forced oscillator with a set-up elastic stop.
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© 1997 Springer Science+Business Media Dordrecht
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Hu, H.Y. (1997). Controlling Chaotic Motion of a Mechanical System with a Set-Up Elastic Stop. In: Van Campen, D.H. (eds) IUTAM Symposium on Interaction between Dynamics and Control in Advanced Mechanical Systems. Solid Mechanics and Its Applications, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5778-0_19
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DOI: https://doi.org/10.1007/978-94-011-5778-0_19
Publisher Name: Springer, Dordrecht
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