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

• AcceptedOct 28, 2015
• PublishedAug 23, 2016
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### 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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