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Chaotic behavior in sampled-data control systems with saturating control

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  • Lu, Jun Guo

Abstract

This paper discusses the sufficient conditions for chaotic behavior in sampled-data control systems with a saturating actuator by applying Marotto’s theorem. First, it is shown that the sampling signal of a simple one-dimensional state-feedback sampled-data control system with sampling period T is chaotic in the sense of Li and Yorke if T>T1∗. In particular, an explicit formula for the computation of T1∗ is obtained. Next, this result is applied to a class of n-dimensional sampled-data control systems. Finally, the presented theory results are verified by two examples.

Suggested Citation

  • Lu, Jun Guo, 2006. "Chaotic behavior in sampled-data control systems with saturating control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 147-155.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:147-155
    DOI: 10.1016/j.chaos.2005.08.191
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