Nonlinear Dynamics

, Volume 94, Issue 4, pp 2441–2453 | Cite as

Global stabilization of high-order nonlinear systems under multi-rate sampled-data control

  • Jinping Jia
  • Weisheng Chen
  • Hao Dai
  • Jing Li
Original Paper


This paper studies the sampled-data control problem for a class of high-order nonlinear systems. Based on exact discrete-time equivalent model of the sampled-data system, a multi-rate sampled-data controller with the form of a power series expansion is designed to achieve the global asymptotic stability of the closed-loop system under some assumptions. Approximate solutions of the proposed controller are proved to be effective by a theoretical analysis. The results show that, compared with the emulated control scheme, the approximate controllers allow considering larger sampling periods and enlarge the domain of attraction for a given sampling period. Finally, a simulation example is given to show the effectiveness of the proposed control scheme.


Sampled-data control High-order nonlinear systems Multi-rate sampling Global stability 



This work was supported by the National Natural Science Foundation of China (Nos. 61503292, 61673308, 61673014 and 11561060), the Fundamental Research Funds for the Central Universities (No. JB181305), the Innovation Fund of Xidian University and the Science Foundation Project of Tianshui Normal University (No. ZD2017-01).

Compliance with ethical standards

Conflicts of interest

We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsXidian UniversityXi’anPeople’s Republic of China
  2. 2.School of Aerospace Science and TechnologyXidian UniversityXi’anPeople’s Republic of China
  3. 3.School of Mathematics and StatisticsTianshui Normal UniversityTianshuiPeople’s Republic of China

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