Fault tolerant synchronization of chaotic system with sampled-data controller

2015 ◽  
pp. 29-32
Author(s):  
Tao Ren ◽  
Yan Xu ◽  
Miao Liu ◽  
Jian-xin Wen ◽  
Sen He
Keyword(s):  
Chaotic System ◽  
Fault Tolerant ◽  
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.

Chaotic Synchronization of a Class of Nonlinear Systems via Sampled-Data State Feedback

2014 ◽  
Author(s):  
Song Yan ◽  
Chunjiang Qian ◽  
Tingwen Huang
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Tracking Error ◽  
Practical Importance ◽  
Sampled Data ◽  
Data Feedback ◽  
Sampled Signal ◽  
System States ◽  
Data Controller ◽  
Chua Oscillator

This paper presents a control strategy for the problem of using sampled-data feedback to synchronize a slave chaotic system with a master chaotic system. The problem is of practical importance since in practice the system states is transmitted as a sampled signal. In order to solve this problem, a sampled-data controller using state feedback is designed to make the tracking error converge to zero. An application to a chaotic Chua oscillator illustrates the effectiveness of the proposed approach.

scholarly journals Aperiodic Sampled-Data Control for Chaotic System Based on Takagi–Sugeno Fuzzy Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Minjie Zheng ◽  
Shenhua Yang ◽  
Lina Li
Keyword(s):  
Chaotic System ◽  
Fuzzy Model ◽  
Sampling Period ◽  
Linear Matrix ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Mean Square Exponential Stability ◽  
Data Controller ◽  
Takagi Sugeno

This paper investigates the aperiodic sampled-data control for a chaotic system. Firstly, Takagi–Sugeno (T-S) fuzzy models for the chaotic systems are established. The lower and upper bounds of the sampling period are taken into consideration. Then, the criteria for mean square exponential stability analysis and aperiodic sampled-data controller synthesis are provided by means of linear matrix inequalities. And the real sampling patterns can be fully captured by constructing suitable Lyapunov functions. Finally, an illustrative example shows that the proposed method is effective to guarantee that the system’s states are stable with aperiodic sampled data.

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

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.

Synchronization analysis of network systems applying sampled-data controller with time-delay via the Bessel–Legendre inequality

2019 ◽  
Vol 331 ◽  
pp. 346-355
Author(s):  
Hongru Ren ◽  
Junlin Xiong ◽  
Renquan Lu ◽  
Yuanqing Wu
Keyword(s):  
Time Delay ◽  
Sampled Data ◽  
Network Systems ◽  
Data Controller

Sampled Data Controller Design for Stable Discrete-Time Processes

2018 ◽  
pp. 393-412
Author(s):  
László Keviczky ◽  
Ruth Bars ◽  
Jenő Hetthéssy ◽  
Csilla Bányász
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Sampled Data ◽  
Data Controller
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