New globally asymptotical synchronization of chaotic systems under sampled-data controller

2014 ◽  
Vol 78 (4) ◽  
pp. 2409-2419 ◽  
Author(s):  
Chao Ge ◽  
Zhigang Li ◽  
Xiaohong Huang ◽  
Caijuan Shi
Keyword(s):  
Chaotic Systems ◽  
Sampled Data ◽  
Data Controller

STABILIZATION OF CHAOTIC SYSTEMS USING LINEAR SAMPLED-DATA CONTROLLER

2007 ◽  
Vol 17 (06) ◽  
pp. 2021-2031 ◽  
Author(s):  
H. K. LAM ◽  
F. H. F. LEUNG
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Design Procedure ◽  
Sampling Period ◽  
Feedback Gain ◽  
Sampled Data ◽  
Lyapunov Approach ◽  
And Performance ◽  
Data Controller

This paper proposes a linear sampled-data controller for the stabilization of chaotic system. The system stabilization and performance issues will be investigated. Stability conditions will be derived based on the Lyapunov approach. The findings of the maximum sampling period and the feedback gain of controller, and the optimization of system performance will be formulated as a generalized eigenvalue minimization problem. Based on the analysis result, a stable linear sampled-data controller can be realized systematically to stabilize a chaotic system. An example of stabilizing a Lorenz system will be given to illustrate the design procedure and effectiveness of the proposed approach.

Fault tolerant synchronization of chaotic systems based on T–S fuzzy model with fuzzy sampled-data controller

2010 ◽  
Vol 19 (5) ◽  
pp. 050506 ◽  
Author(s):  
Ma Da-Zhong ◽  
Zhang Hua-Guang ◽  
Wang Zhan-Shan ◽  
Feng Jian
Keyword(s):  
Chaotic Systems ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Sampled Data ◽  
Data Controller

scholarly journals Switched Fuzzy Sampled-Data Control of Chaotic Systems With Input Constraints

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 44402-44410
Author(s):  
Yunjun Chen ◽  
Qiuxia Cao ◽  
Zhenyu Zhu ◽  
Zhangang Wang ◽  
Zhanshan Zhao
Keyword(s):  
Chaotic Systems ◽  
Input Constraints ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control

Robust H∞ control of neutral system for sampled-data dynamic positioning ships

2018 ◽  
Vol 36 (4) ◽  
pp. 1325-1345 ◽  
Author(s):  
Minjie Zheng ◽  
Yujie Zhou ◽  
Shenhua Yang ◽  
Lina Li
Keyword(s):  
Sufficient Conditions ◽  
Control Law ◽  
Dynamic Positioning ◽  
Neutral System ◽  
Time Varying ◽  
Sampled Data ◽  
Stability Theorems ◽  
Data Control ◽  
Conservative Result ◽  
Data Controller

Abstract This study focuses on the robust ${H}_{\infty }$ sampled-data control problem of neutral system for dynamic positioning (DP) ships. Using the input delay approach and a state-derivative control law, the ship DP system is turned into a neutral system with time-varying delays. By incorporating the delay-decomposition technique, Wirtinger-based integral inequality and an augmented Lyapunov–Krasovskii functional, less conservative result is derived for the resulting system. Sufficient conditions are established to determine the system’s asymptotical stability and achieve ${H}_{\infty }$ performance using Lyapunov stability theorems. Then the ${H}_{\infty }$ sampled-data controller is obtained by analyzing the stabilization conditions. Finally, simulation result is shown that the proposed method is effective.

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