Fixed‐time stability analysis and stabilization control of a class of nonlinear systems with output constraints

2021 ◽  
Author(s):  
Xiandong Chen ◽  
Xianfu Zhang ◽  
Chunjiang Qian
Keyword(s):  
Stability Analysis ◽  
Nonlinear Systems ◽  
Fixed Time ◽  
Time Stability ◽  
Stabilization Control ◽  
Output Constraints

scholarly journals Fixed-Time Stability Analysis of Permanent Magnet Synchronous Motors with Novel Adaptive Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Maoxing Liu ◽  
Jie Wu ◽  
Yong-zheng Sun
Keyword(s):  
Stability Analysis ◽  
Permanent Magnet ◽  
Initial Conditions ◽  
Lyapunov Stability Theory ◽  
Fixed Time ◽  
Stability Control ◽  
Time Stability ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
Comparison Results

We firstly investigate the fixed-time stability analysis of uncertain permanent magnet synchronous motors with novel control. Compared with finite-time stability where the convergence rate relies on the initial permanent magnet synchronous motors state, the settling time of fixed-time stability can be adjusted to desired values regardless of initial conditions. Novel adaptive stability control strategy for the permanent magnet synchronous motors is proposed, with which we can stabilize permanent magnet synchronous motors within fixed time based on the Lyapunov stability theory. Finally, some simulation and comparison results are given to illustrate the validity of the theoretical results.

Fixed-time stability theorem of stochastic nonlinear systems

2018 ◽  
Vol 92 (9) ◽  
pp. 2194-2200 ◽  
Author(s):  
Jiaju Yu ◽  
Shuanghe Yu ◽  
Juan Li ◽  
Yan Yan
Keyword(s):  
Nonlinear Systems ◽  
Fixed Time ◽  
Stability Theorem ◽  
Stochastic Nonlinear Systems ◽  
Time Stability

Fixed-time stability of positive nonlinear systems

2020 ◽  
Vol 42 (15) ◽  
pp. 2951-2955
Author(s):  
Yunru Zhu ◽  
Yuanshi Zheng ◽  
Xingwen Liu ◽  
Huaizhu Wang
Keyword(s):  
Nonlinear Systems ◽  
Stability Problem ◽  
Vector Fields ◽  
Lyapunov Method ◽  
Fixed Time ◽  
Sufficient Condition ◽  
Time Stability ◽  
Arbitrary Switching

This paper studies the fixed-time stability problem for positive nonlinear systems defined by cooperative vector fields. A criterion is derived to ensure fixed-time stabilization of the positive nonlinear systems using Lyapunov method. In addition, a sufficient condition is also presented for fixed-time stability of switched positive nonlinear systems under arbitrary switching. Simulation examples are provided to demonstrate the obtained results.

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