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SCIENCE CHINA Information Sciences, Volume 59, Issue 9: 092205(2016) https://doi.org/10.1007/s11432-015-5496-2

Sampled-data feedback and stability for a class of uncertain nonlinear systems based on characteristic modeling method

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  • ReceivedJul 12, 2015
  • AcceptedOct 28, 2015
  • PublishedAug 23, 2016

Abstract

In this paper, we investigate the tracking problem for a class of second-order uncertain nonlinear systems using sampled-data output feedback. Our controller is designed based on the characteristic modeling method. We first derive the corresponding characteristic model and then give the sampled-data feedback control law, which is referred to as ``golden-section adaptive control based on characteristic models''. The closed-loop system is shown to be stable and, concurrently, it is demonstrated that the tracking error can be made arbitrarily small by taking a sufficiently small sampling period. Our results improve upon the findings of previous work by removing the persistent excitation condition, and also lay certain theoretical foundations for practical applications of golden-section adaptive control.


Funded by

National Natural Science Foundation of China(61333008)

National Key Basic Research and Development Program of China(973)

(2013CB733100)


Acknowledgment

Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant No. 61333008) and National Key Basic Research and Development Program of China (973) (Grant No. 2013CB733100).


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