scholarly journals Synchronization and Anti-Synchronization of Two Identical Hyperchaotic Systems Based on Active Backstepping Design

2011 ◽  
pp. 117-122
Author(s):  
Atefeh Saedian ◽  
Hassan Zarabadipoor
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Chaos Control ◽  
Control Method ◽  
Design Method ◽  
Backstepping Design ◽  
Backstepping Technique ◽  
Control Approach ◽  
Hyperchaotic Systems

This paper presents an active backstepping design method for synchronization and anti-synchronization of two identical hyperchaotic Chen systems. The proposed control method, combining backstepping design and active control approach, extends the application of backstepping technique in chaos control. Based on this method, different combinations of controllers can be designed to meet the needs of different applications. Numerical simulations are shown to verify the results.

scholarly journals Cooperative Control Method of Active and Semiactive Control: New Framework for Vibration Control

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Kazuhiko Hiramoto
Keyword(s):  
Vibration Control ◽  
Active Control ◽  
Cooperative Control ◽  
Control Method ◽  
Design Method ◽  
Control Object ◽  
Control Device ◽  
Semiactive Control ◽  
Control Input ◽  
Control Approach

A new control design framework for vibration control, the cooperative control of active and semiactive control, is proposed in the paper. In the cooperative control, a structural system having both of an actuator and a semiactive control device, for example, MR damper and so forth, is defined as the control object. In the proposed control approach, the higher control performance is aimed by the cooperative control between the active control with the actuator and the semiactive control with the semiactive control device. A design method to determine the active control input and the command signal to drive the semiactive control device based on the one-step prediction of the control output is proposed. A simulation example of a control system design for a benchmark building is presented to show the effectiveness of the proposed control framework.

scholarly journals A Critical Review of Supersonic Flow Control for High-Speed Applications

2021 ◽  
Vol 11 (15) ◽  
pp. 6899
Author(s):  
Abdul Aabid ◽  
Sher Afghan Khan ◽  
Muneer Baig
Keyword(s):  
Supersonic Flow ◽  
Flow Control ◽  
Active Control ◽  
Critical Review ◽  
High Speed ◽  
Passive Control ◽  
Control Method ◽  
Sudden Expansion ◽  
Control Approach ◽  
Cost Efficient

In high-speed fluid dynamics, base pressure controls find many engineering applications, such as in the automobile and defense industries. Several studies have been reported on flow control with sudden expansion duct. Passive control was found to be more beneficial in the last four decades and is used in devices such as cavities, ribs, aerospikes, etc., but these need additional control mechanics and objects to control the flow. Therefore, in the last two decades, the active control method has been used via a microjet controller at the base region of the suddenly expanded duct of the convergent–divergent (CD) nozzle to control the flow, which was found to be a cost-efficient and energy-saving method. Hence, in this paper, a systemic literature review is conducted to investigate the research gap by reviewing the exhaustive work on the active control of high-speed aerodynamic flows from the nozzle as the major focus. Additionally, a basic idea about the nozzle and its configuration is discussed, and the passive control method for the control of flow, jet and noise are represented in order to investigate the existing contributions in supersonic speed applications. A critical review of the last two decades considering the challenges and limitations in this field is expressed. As a contribution, some major and minor gaps are introduced, and we plot the research trends in this field. As a result, this review can serve as guidance and an opportunity for scholars who want to use an active control approach via microjets for supersonic flow problems.

Seismic Response Control for Four High-Rise Building Structures Using Connected Control Method

2007 ◽  
Author(s):  
Kazuto Seto ◽  
Chinori Iio ◽  
Shigeru Inaba ◽  
Shingo Mitani ◽  
Fadi Dohnal ◽  
...  
Keyword(s):  
Seismic Response ◽  
Active Control ◽  
Control Method ◽  
Control Force ◽  
Building Structures ◽  
Response Control ◽  
Control Approach ◽  
Seismic Response Control ◽  
High Rise ◽  
Lq Control

This paper presents a vibration control method for multiple high-rise buildings against large earthquake motion. This method is called as “Connected Control Method (CCM)” and has the merit of obtaining enough control force to protect high-rise buildings from large earthquakes using passive and semiactive devices. In this paper, first a modeling approach for four scaled building structures is shown and effectiveness of the CCM using LQ control approach for them is demonstrated by seismic response control results. Next, in order to reduce the supplied power, a semi-active control approach in place of active control is applied for the CCM. For this purpose, a new MR damper is developed and designed to have a close performance with results of the LQ control. This performance is verified by measured frequency responses.

TRACKING CONTROL AND THE BACKSTEPPING DESIGN OF SYNCHRONIZATION CONTROLLER FOR CHEN SYSTEM

2011 ◽  
Vol 25 (28) ◽  
pp. 3815-3824 ◽  
Author(s):  
XINGYUAN WANG ◽  
JING ZHANG
Keyword(s):  
Numerical Simulations ◽  
Tracking Control ◽  
Design Method ◽  
Backstepping Design ◽  
Error Signal ◽  
Chen System ◽  
Tracking Controller ◽  
Control And Synchronization

This paper presents tracking control and synchronization strategies for Chen system. Two universal controllers, a tracking controller and a synchronization controller based on Backstepping design method were designed. It is proved theoretically that the tracking controller enables the error signal exponentially to converge to zero. The validity of Backstepping synchronization controller is also proved. Numerical simulations further validated the two controllers.

scholarly journals Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control

2014 ◽  
Vol 65 (2) ◽  
pp. 97-103 ◽  
Author(s):  
Rajagopal Karthikeyan ◽  
Vaidyanathan Sundarapandian
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Hybrid Synchronization ◽  
Active Control Method

Abstract This paper investigates the hybrid chaos synchronization of identical Wang four-scroll systems (Wang, 2009), identical Liu-Chen four-scroll systems (Liu and Chen, 2004) and non-identical Wang and Liu-Chen four-scroll systems. Active control method is the method adopted to achieve the hybrid chaos synchronization of the four-scroll chaotic systems addressed in this paper and our synchronization results are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active control method is effective and convenient to hybrid synchronize identical and different Wang and Liu-Chen four-scroll chaotic systems. Numerical simulations are also shown to illustrate and validate the hybrid synchronization results derived in this paper.

ANTI-SYNCHRONIZATION OF UNIFIED HYPERCHAOTIC SYSTEMS

2014 ◽  
Vol 28 (05) ◽  
pp. 1450014
Author(s):  
PI LI ◽  
XING-YUAN WANG ◽  
PENG SUN ◽  
CHAO LUO ◽  
XIU-KUN WANG
Keyword(s):  
Adaptive Control ◽  
Active Control ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Control Methods ◽  
System Parameters ◽  
Hyperchaotic Systems ◽  
Active Control Method

In this paper, active control and adaptive control methods are applied, respectively. Adaptive control method is implemented when system parameters are unknown and active control method is applied when system parameters are known. Based on the Lyapunov stability theory, the controllers are designed to realize anti-synchronization, meanwhile, the update laws of parameters are proposed. The theoretical proof is given. And two groups of examples are shown to verify the effectiveness of the proposed schemes.

FUNCTION PROJECTIVE SYNCHRONIZATION BETWEEN TWO IDENTICAL CHAOTIC SYSTEMS

2007 ◽  
Vol 18 (05) ◽  
pp. 883-888 ◽  
Author(s):  
YONG CHEN ◽  
XIN LI
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Symbolic Computation ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Function ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Active Control Method ◽  
Function Matrix

First, a function projective synchronization of two identical systems is defined. Second, based on the active control method and symbolic computation Maple, the scheme of function projective synchronization is developed to synchronize two identical chaotic systems (two identical classic Lorenz systems) up to a scaling function matrix with different initial values. Numerical simulations are used to verify the effectiveness of the scheme.

scholarly journals The Complex Network Synchronization via Chaos Control Nodes

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Yin Li ◽  
Chun-long Zheng
Keyword(s):  
Numerical Simulations ◽  
Complex Network ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Chaos Control ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Network Synchronization ◽  
Lü System ◽  
New System

We investigate chaos control nodes of the complex network synchronization. The structure of the coupling functions between the connected nodes is obtained based on the chaos control method and Lyapunov stability theory. Moreover a complex network with nodes of the new unified Loren-Chen-Lü system, Coullet system, Chee-Lee system, and the New system is taken as an example; numerical simulations are used to verify the effectiveness of the method.

Chaos Control of the Fractional Order Stochastic Chen System

2013 ◽  
Vol 694-697 ◽  
pp. 2130-2133
Author(s):  
Jie Zheng ◽  
Shao Juan Ma ◽  
Duan Dong
Keyword(s):  
Feedback Control ◽  
Orthogonal Polynomial ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Chaos Control ◽  
Control Method ◽  
Random Parameter ◽  
Deterministic System ◽  
Chen System ◽  
Control Laws

In this paper, we study chaos control of the fractional order Chen system with the bounded random parameter. Firstly, we transform the fractional order Chen system with random parameter into an equivalent deterministic system by the orthogonal polynomial approximation. Secondly, based on Routh-Hrwitz criterion, the derivative feedback control laws are applied to fractional order equivalent deterministic Chen system. Lastly, numerical simulations show that the control method is effective and feasible.

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