Nonlinear Dynamics

, Volume 76, Issue 2, pp 1133–1140 | Cite as

Finite-time tracking control for a class of high-order nonlinear systems and its applications

  • Yingying Cheng
  • Haibo Du
  • Yigang He
  • Ruting Jia
Original Paper


This study investigates the problem of finite-time tracking control for a class of high-order nonlinear systems. Due to the existence of uncertain time-varying control coefficient and unknown nonlinear perturbations in the nonlinear dynamics, the existing finite-time control results cannot solve the finite-time tracking problem for this kind of nonlinear systems. Based on the technique of adding a power integrator a variable structure control method is proposed. Under the proposed control law, it is shown that the reference signal can be tracked in a finite time. As an application of the proposed theoretic results, the problem of finite-time attitude tracking control for the roll channel of bank-to-turn missile is solved. Simulation results are given to demonstrate the effectiveness of the proposed method.


Finite-time control Nonlinear systems Bank-to-turn missile 



This work is supported by National Natural Science Foundation of China (61304007), National Natural Science Funds of China for Distinguished Young Scholar (50925727), Key Grant Project of Chinese Ministry of Education (313018), China Postdoctoral Science Foundation Funded Project (2012M521217), Natural Science Foundation of Anhui Province of China (1308085QF106), Anhui Provincial Science and Technology Foundation of China (1301022036), Ph.D. Programs Foundation of Ministry of Education of China (20130111120007), and Fundamental Research Funds for the Central Universities of China (2012HGBZ0205, 2012HGQC0002).


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Yingying Cheng
    • 1
  • Haibo Du
    • 1
  • Yigang He
    • 1
  • Ruting Jia
    • 2
  1. 1.School of Electrical Engineering and AutomationHefei University of TechnologyHefeiPeople’s Republic of China
  2. 2.Electrical Engineering and Computer Science DepartmentMcNeese State UniversityLake CharlesUSA

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