A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system

Automatica ◽  
2015 ◽  
Vol 58 ◽  
pp. 60-66 ◽  
Author(s):  
Zong-Yao Sun ◽  
Ling-Rong Xue ◽  
Kemei Zhang
Keyword(s):  
Nonlinear System ◽  
Finite Time ◽  
High Order ◽  
Adaptive Stabilization ◽  
Uncertain Nonlinear System ◽  
New Approach

scholarly journals A New Approach to Adaptive Stabilization of Stochastic High-Order Nonholonomic Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
Guangju Li ◽  
Kemei Zhang
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Nonholonomic Systems ◽  
High Order ◽  
Function Technique ◽  
Adaptive Stabilization ◽  
Closed Loop System ◽  
Sign Function ◽  
New Approach ◽  
Asymptotic Stability In Probability

This paper studies the problem of adaptive stabilization for a class of stochastic high-order nonholonomic systems. Under the weaker assumptions, by constructing the appropriate Lyapunov function and combining sign function technique, an adaptive state feedback controller is designed to guarantee global asymptotic stability in probability of the closed-loop system. The effectiveness of the controller is demonstrated by a mechanical system.

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