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Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties

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  • Meng-Meng Jiang
  • Xue-Jun Xie

Abstract

Under the weaker assumption on nonlinear functions, the adaptive finite-time stabilization of more general high-order nonlinear systems with dynamic and parametric uncertainties is solved in this paper. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterize the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, backstepping, and finite-time input-to-state stability approaches, an adaptive state feedback controller is designed to guarantee high-order nonlinear systems are globally finite-time stable.

Suggested Citation

  • Meng-Meng Jiang & Xue-Jun Xie, 2016. "Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:5702182
    DOI: 10.1155/2016/5702182
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