Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods

Hanyong Shao; Jianrong Zhao; Dan Zhang

doi:10.1109/JAS.2017.7510376

Volume 7 Issue 1

Jan. 2020

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2020 > 7(1): 257-262

Hanyong Shao, Jianrong Zhao and Dan Zhang, "Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 257-262, Jan. 2020. doi: 10.1109/JAS.2017.7510376

Citation:

Hanyong Shao, Jianrong Zhao and Dan Zhang, "Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 257-262, Jan. 2020. doi: 10.1109/JAS.2017.7510376

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Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods

doi: 10.1109/JAS.2017.7510376

Institute of Automation, Qufu Normal University, Qufu 273165, China

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the National Natural Science Foundation of China 61374090

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Author Bio:

Hanyong Shao received the M.S. degree in operational research and control theory from Qufu Normal University, and the Ph.D. degree in control theory and engineering from Southeast University, in 1997 and 2005, respectively. In 1997, he joined the School of Electrical and Information Automation, Qufu Normal University, where he is currently a Professor. In 2009 he was a research associate in Centre for Intelligent and Networked Systems, Central Queensland University, Australia. In 2013 he was a Visiting Professor in the Department of Mechanical Engineering, the University of Hong Kong, China. His research interests include networked control systems, time-delay systems, neural networks, and robust control

Jianrong Zhao received the B.S. degree in statistics from the School of Mathematical Sciences, Qufu Normal University, China, in 2013 and the M.S. degree in operational research and control theory from the Institute of Automation, Qufu Normal University, China, in 2016. His research interests include sampled-data control systems and time-delay systems.e-mail: zhaojianrong6666@163.com

Dan Zhang received the B.S. degree in information and computing sciences from the School of Mathematical Sciences, University of Jinan, Jinan, China, in 2012 and the M.S. degree in operational research and control theory from the Institute of Automation, Qufu Normal University, China, in 2016. Her research interests include sampled-data control systems and time-delay systems.e-mail: zhangdanjisuan@163.com
Corresponding author:
Hanyong Shao, e-mail: hanyongshao@163.com
Recommended by Associate Editor Guoping Liu.
Received Date: 2016-03-09
Accepted Date: 2016-09-05

Available Online: 2019-12-20

Publish Date: 2019-12-20

Abstract

Abstract

This paper is concerned with a novel Lyapunov-like functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria.
- Lyapunov functional,
- sampled-data systems,
- sampling-interval-dependent stability.

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Recommended by Associate Editor Guoping Liu.

References(24)

References

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A Lyapunov-like functional approach is proposed.
The Lyapunov-like functional is time-dependent.
The Lyapunov-like functional may be discontinuous.
The Lyapunov-like functional is not required to be positive definite.
The Lyapunov-like functional approach leads to less conservative stability results.

Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods

doi: 10.1109/JAS.2017.7510376

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