An efficient image privacy scheme based on nonlinear chaotic system and linear canonical transformation

2020 ◽  
Vol 546 ◽  
pp. 123458 ◽  
Author(s):  
Usman Arshad ◽  
Majid Khan ◽  
Sajjad Shaukat ◽  
Muhammad Amin ◽  
Tariq Shah
Keyword(s):  
Chaotic System ◽  
Canonical Transformation ◽  
Linear Canonical Transformation ◽  
Nonlinear Chaotic System

Oyster oscillator: a novel mega-stable nonlinear chaotic system

2021 ◽  
Author(s):  
Balamurali Ramakrishnan ◽  
Atefeh Ahmadi ◽  
Fahimeh Nazarimehr ◽  
Hayder Natiq ◽  
Sajad Jafari ◽  
...  
Keyword(s):  
Chaotic System ◽  
Nonlinear Chaotic System

Talbot Effect in Linear Canonical Transformation

2014 ◽  
Vol 34 (7) ◽  
pp. 0711004
Author(s):  
孙琼阁 Sun Qiongge ◽  
马金鹏 Ma Jinpeng ◽  
杨瑀 Yang Yu ◽  
李辰 Li Chen ◽  
刘正君 Liu Zhengjun ◽  
...  
Keyword(s):  
Canonical Transformation ◽  
Talbot Effect ◽  
Linear Canonical Transformation

scholarly journals Introducing a Chaotic Component in the Control System of Soil Respiration

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-8 ◽  
Author(s):  
Peng An ◽  
Wen-Feng Wang ◽  
Xi Chen ◽  
Jing Qian ◽  
Yunzhu Pan
Keyword(s):  
Control System ◽  
Soil Respiration ◽  
Riccati Equation ◽  
Chaotic System ◽  
Chaos Theory ◽  
Theoretical Framework ◽  
Arid Land ◽  
Concept Model ◽  
Nonlinear Chaotic System ◽  
Kinetics Of

Chaos theory has been proved to be of great significance in a series of critical applications although, until now, its applications in analyzing soil respiration have not been addressed. This study aims to introduce a chaotic component in the control system of soil respiration and explain control complexity of this nonlinear chaotic system. This also presents a theoretical framework for better understanding chaotic components of soil respiration in arid land. A concept model of processes and mechanisms associated with subterranean CO2 evolution are developed, and dynamics of the chaotic system is characterized as an extended Riccati equation. Controls of soil respiration and kinetics of the chaotic system are interpreted and as a first attempt, control complexity of this nonlinear chaotic system is tackled by introducing a period-regulator in partitioning components of soil respiration.

scholarly journals A hybrid control strategy based on CSA and ELM for uncertain nonlinear chaotic system

2020 ◽  
Vol 14 ◽  
pp. 174830262092250
Author(s):  
Yan Li ◽  
Yigang He ◽  
Wenxin Yu
Keyword(s):  
Extreme Learning Machine ◽  
Chaotic System ◽  
Control Strategy ◽  
Chaotic Systems ◽  
Hybrid Control ◽  
Search Algorithm ◽  
Cuckoo Search ◽  
Cuckoo Search Algorithm ◽  
Nonlinear Chaotic System ◽  
Learning Machine

The study of nonlinear chaotic systems and their control is an important topic. In this paper, a hybrid control strategy based on cuckoo search algorithm and extreme learning machine is proposed. Cuckoo search algorithm is used in a hybrid control strategy in order to optimise the weights and biases in extreme learning machine leading to the improvement of its performance. Simulations indicate that the proposed method is able to fit nonlinear chaotic systems and control chaotic systems effectively. Data used in the nonlinear chaotic system are also tested for uncertainty and unknown systems. Simulation results confirm that the proposed method shows robustness for noisy data and perturbed parameters.

SYNCHRONIZATION OF TWO UNCERTAIN CHAOTIC SYSTEMS VIA ADAPTIVE BACKSTEPPING

2001 ◽  
Vol 11 (06) ◽  
pp. 1743-1751 ◽  
Author(s):  
C. WANG ◽  
S. S. GE
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Design Procedure ◽  
Research Literature ◽  
Adaptive Synchronization ◽  
Adaptive Backstepping ◽  
Feedback Form ◽  
Bounded Linear ◽  
Nonlinear Chaotic System ◽  
Uncertain Chaotic Systems

In this letter, adaptive synchronization of two uncertain chaotic systems is presented using adaptive backstepping with tuning functions. The master system is any smooth, bounded, linear-in-the-parameters nonlinear chaotic system, while the slave system is a nonlinear chaotic system in the strict-feedback form. Both master and slave systems are with key parameters unknown. Global stability and asymptotic synchronization between the outputs of master and slave systems can be achieved. The proposed approach offers a systematic design procedure for adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Simulation results are presented to show the effectiveness of the approach.

ROBUST LINEAR OUTPUT FEEDBACK CONTROL DESIGN FOR NONLINEAR CHAOTIC SYSTEMS VIA T–S FUZZY MODEL WITH H∞ SETTING

2008 ◽  
Vol 18 (11) ◽  
pp. 3375-3392 ◽  
Author(s):  
YEN-FANG LI ◽  
CHUNG-SHI TSENG
Keyword(s):  
Chaotic System ◽  
Output Feedback ◽  
Chaotic Systems ◽  
Fuzzy Model ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Controller ◽  
Control Scheme ◽  
Linear Observer ◽  
Nonlinear Chaotic System

In this paper, the problem of H∞ control design is studied for a nonlinear chaotic system via its corresponding Takagi–Sugeno (T–S) fuzzy model. It is known that many nonlinear chaotic systems can be exactly represented by their corresponding T–S fuzzy models. First, in this study, the T–S fuzzy model is proposed to represent a class of nonlinear chaotic systems. Next, a linear output feedback control scheme, where only linear controller and linear observer are considered, with H∞ setting is proposed for the nonlinear chaotic system. Then, based on the T–S fuzzy model and the proposed linear control scheme, the H∞ controller design problem for nonlinear chaotic systems is characterized in terms of minimizing the attenuation level subject to some linear matrix inequalities (LMIs), which is also called eigenvalue problem (EVP), through the scanning of a positive parameter. Finally, the proposed control scheme is applied to a chaotic system, namely Chua's circuit, to illustrate the robust performance of the proposed linear controller and linear observer.

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