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Global adaptive exponential stabilisation for nonlinear systems with multiple unknown control directions

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  • Xifang Sun
  • Weisheng Chen
  • Jian Wu

Abstract

In this paper, we address the global generalised exponential stabilisation problem for a class of lower-triangular systems with multiple unknown directions. Instead of the well-known Nussbaum-gain adaptive rule, a Lyapunov-based adaptive logic switching rule is proposed to seek the correct control directions for such systems. The main advantage of the proposed controller is that it can guarantee the global generalised exponential stability of closed-loop systems. Simulation examples are given to verify the effectiveness of the developed control approach.

Suggested Citation

  • Xifang Sun & Weisheng Chen & Jian Wu, 2016. "Global adaptive exponential stabilisation for nonlinear systems with multiple unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3908-3918, December.
  • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3908-3918
    DOI: 10.1080/00207721.2016.1139757
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    Cited by:

    1. Yu, Zhefeng & Zhao, Feng & Ding, Shihong & Chen, Xiangyong, 2022. "Adaptive pre-assigned finite-time control of uncertain nonlinear systems with unknown control gains," Applied Mathematics and Computation, Elsevier, vol. 417(C).

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