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

Meng-Meng Jiang and Xue-Jun Xie

Mathematical Problems in Engineering, 2016, vol. 2016, 1-11

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5702182

DOI: 10.1155/2016/5702182

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