Finite-time Stabilization with Output-constraints of A Class of High-order Nonlinear Systems

2018 ◽  
Vol 16 (3) ◽  
pp. 945-952 ◽  
Author(s):  
Ruicheng Ma ◽  
Bin Jiang ◽  
Yan Liu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
High Order ◽  
Output Constraints ◽  
Finite Time Stabilization

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

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Meng-Meng Jiang ◽  
Xue-Jun Xie
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Finite Time ◽  
State Feedback ◽  
High Order ◽  
Parametric Uncertainties ◽  
Nonlinear Functions ◽  
Sign Function ◽  
Dynamic Uncertainty ◽  
Finite Time Stabilization

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.

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