Global Adaptive Finite-Time Control for Stochastic Nonlinear Systems via State Feedback

2015 ◽  
Vol 34 (12) ◽  
pp. 3789-3809 ◽  
Author(s):  
Wenting Zha ◽  
Junyong Zhai ◽  
Shumin Fei
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
State Feedback ◽  
Stochastic Nonlinear Systems ◽  
Time Control

scholarly journals Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhiguo Yan
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
State Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Stochastic Nonlinear Systems ◽  
Matrix Inequalities ◽  
Annular Domain ◽  
Stabilizing Controller ◽  
Time Control

This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.

Neural network-based finite-time control of quantized stochastic nonlinear systems

2019 ◽  
Vol 362 ◽  
pp. 195-202 ◽  
Author(s):  
Fang Wang ◽  
LiLi Zhang ◽  
Shaowei Zhou ◽  
Yuanyuan Huang
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Finite Time ◽  
Stochastic Nonlinear Systems ◽  
Time Control

Adaptive fuzzy finite-time control of stochastic nonlinear systems with actuator faults

2021 ◽  
Vol 104 (1) ◽  
pp. 523-536
Author(s):  
Libin Wang ◽  
Huanqing Wang ◽  
Peter Xiaoping Liu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Stochastic Nonlinear Systems ◽  
Actuator Faults ◽  
Adaptive Fuzzy ◽  
Time Control

Adaptive finite-time control for stochastic nonlinear systems subject to unknown covariance noise

2018 ◽  
Vol 355 (5) ◽  
pp. 2645-2661 ◽  
Author(s):  
Huifang Min ◽  
Shengyuan Xu ◽  
Yongmin Li ◽  
Yuming Chu ◽  
Yunliang Wei ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Stochastic Nonlinear Systems ◽  
Time Control ◽  
Unknown Covariance

Adaptive finite-time control for stochastic nonlinear systems using multi-dimensional Taylor network

2021 ◽  
pp. 014233122110396
Author(s):  
Shan-Liang Zhu ◽  
Ming-Xin Wang ◽  
Yu-Qun Han
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Tracking Error ◽  
Small Neighborhood ◽  
Lyapunov Stability Theory ◽  
Loop System ◽  
Stochastic Nonlinear Systems ◽  
Time Control ◽  
Control Scheme ◽  
The Stability

In this paper, the problem of adaptive finite-time multi-dimensional Taylor network (MTN) control for a class of stochastic nonlinear systems is investigated. By combining the MTN-based approximate method and adaptive backstepping technique, a novel adaptive finite-time MTN control scheme is proposed. In this scheme, the MTNs are used to approximate the unknown nonlinear functions of the systems. The finite-time Lyapunov stability theory is utilized to prove the stability of the close-loop system. The proposed scheme can ensure that all signals in the closed-loop system are bounded in probability and the tracking error converges to a small neighborhood of the origin in a finite time. Three simulation examples are presented to show the effectiveness of the control scheme. It should be pointed that the adaptive MTN controller proposed in this paper has the advantages of fast computational speed and good real-time performance thanks to the simple structure of the MTN.

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