scholarly journals Compound Synchronization of Four Chaotic Complex Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Junwei Sun ◽  
Yi Shen ◽  
Guangzhao Cui
Keyword(s):  
Complex System ◽  
Complex Systems ◽  
Complex Space ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Control Scheme ◽  
Compound Synchronization ◽  
Chaotic Complex System ◽  
Synchronization Scheme ◽  
Novel Design

The chaotic complex system is designed from the start of the chaotic real system. Dynamical properties of a chaotic complex system in complex space are investigated. In this paper, a compound synchronization scheme is achieved for four chaotic complex systems. According to Lyapunov stability theory and the adaptive control method, four chaotic complex systems are considered and the corresponding controllers are designed to realize the compound synchronization scheme. Four novel design chaotic complex systems are given as an example to verify the validity and feasibility of the proposed control scheme.

scholarly journals Dynamic Sliding Mode Control Based on Fractional Calculus Subject to Uncertain Delay Based Chaotic Pneumatic Robot

2020 ◽  
Vol 10 (3) ◽  
pp. 413-420 ◽  
Author(s):  
Sara Gholipour ◽  
Heydar Toosian Shandiz ◽  
Mobin Alizadeh ◽  
Sara Minagar ◽  
Javad Kazemitabar
Keyword(s):  
Fractional Calculus ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Robot Manipulator ◽  
Lyapunov Stability Theory ◽  
Mode Control ◽  
Control Scheme ◽  
Dynamic Sliding Mode Control ◽  
Dynamic Sliding Mode

Background & Objective: This paper considers the chattering problem of sliding mode control in the presence of delay in robot manipulator causing chaos in such electromechanical systems. Fractional calculus was used in order to produce a novel sliding mode to eliminate chatter. To realize the control of a class of chaotic systems in master-slave configuration, a novel fractional dynamic sliding mode control scheme is presented and examined on the delay based chaotic robot. Also, the stability of the closed-loop system is guaranteed by Lyapunov stability theory. Methods: A control scheme is proposed for reducing the chattering problem in finite time tracking and robust in presence of system matched disturbances. Results: Moreover, delayed robot motions are sorted out for qualitative and quantitative study. Finally, numerical simulations illustrate feasibility of the proposed control method. Conclusion: The control scheme is viable.

CHAOS SYNCHRONIZATION OF AN UNCERTAIN LORENZ HYPERCHAOTIC SYSTEM VIA A MODIFIED ADAPTIVE METHOD

2010 ◽  
Vol 24 (09) ◽  
pp. 1093-1101
Author(s):  
XIANGJUN WU ◽  
DONGDONG FENG ◽  
GUANRONG CHEN
Keyword(s):  
Chaos Synchronization ◽  
Lyapunov Stability Theory ◽  
Adaptive Method ◽  
Hyperchaotic System ◽  
Sufficient Condition ◽  
System Parameters ◽  
Control Scheme ◽  
Unknown System ◽  
Synchronization Scheme ◽  
Adaptive Control Scheme

A modified adaptive control scheme for synchronization of an uncertain Lorenz hyperchaotic system is proposed. Based on the Lyapunov stability theory, the sufficient condition for the synchronization is analyzed and proved theoretically. With the condition derived, parameter identification and synchronization of the Lorenz hyperchaotic system with all the unknown system parameters can be achieved simultaneously. Numerical simulations are presented to illustrate the effectiveness of the proposed synchronization scheme.

Complex Hybrid Synchronization in Drive-Response Complex-Variable Chaotic Systems

2012 ◽  
Vol 13 (7-8) ◽  
Author(s):  
Zhaoyan Wu
Keyword(s):  
Complex Variable ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Control Scheme ◽  
Hybrid Synchronization ◽  
Complex Hybrid ◽  
First Time ◽  
In Virtue Of ◽  
Response Complex

AbstractIn this paper, the concept of complex hybrid synchronization in complex-variable chaotic system is introduced for the first time. Based on Lyapunov stability theory, two typical complex-variable chaotic systems are considered and corresponding controllers are designed to achieve complex hybrid synchronization. Further, a universal control method in virtue of adaptive control scheme is proposed. Numerical examples are provided to show the effectiveness of the proposed method.

scholarly journals Adaptive Fuzzy Containment Control for Uncertain Nonlinear Multiagent Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yang Yu ◽  
Kang-Hyun Jo
Keyword(s):  
Multiagent Systems ◽  
Output Feedback ◽  
State Feedback ◽  
Control Method ◽  
Directed Graphs ◽  
Lyapunov Stability Theory ◽  
Fuzzy Logic Systems ◽  
Containment Control ◽  
Control Scheme ◽  
Multiple Leaders

This paper considers the containment control problem for uncertain nonlinear multiagent systems under directed graphs. The followers are governed by nonlinear systems with unknown dynamics while the multiple leaders are neighbors of a subset of the followers. Fuzzy logic systems (FLSs) are used to identify the unknown dynamics and a distributed state feedback containment control protocol is proposed. This result is extended to the output feedback case, where observers are designed to estimate the unmeasurable states. Then, an output feedback containment control scheme is presented. The developed state feedback and output feedback containment controllers guarantee that the states of all followers converge to the convex hull spanned by the dynamic leaders. Based on Lyapunov stability theory, it is proved that the containment control errors are uniformly ultimately bounded (UUB). An example is provided to show the effectiveness of the proposed control method.

scholarly journals Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Shao
Keyword(s):  
Complex Networks ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Exponential Synchronization ◽  
Time Varying ◽  
Time Varying Delay ◽  
Coupled Networks ◽  
Synchronization Scheme ◽  
Varying Delay

This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. Finally, numerical analysis and simulations for two nonlinearly coupled networks which are composed of the time-delayed Lorenz chaotic systems are given to demonstrate the effectiveness and feasibility of the proposed complex network synchronization scheme.

A Sliding Mode PID Control with Backstepping for Underactuated AUV in Diving Plane

2012 ◽  
Vol 220-223 ◽  
pp. 1142-1147
Author(s):  
Li Xin Yang ◽  
Li Dong Guo ◽  
Xue Mei Zhou ◽  
He Ming Jia
Keyword(s):  
Pid Control ◽  
Autonomous Underwater Vehicle ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Equivalent Model ◽  
Trajectory Tracking Control ◽  
Control Scheme ◽  
Simulation Results ◽  
Analysis Of Stability

For diving control of autonomous underwater vehicle (AUV), a sliding-mode PID control with backstepping is proposed. First, an equivalent model of AUV is developed. Then, the sliding mode control with an PID sliding surface is proposed for the trajectory tracking control of AUV. Moreover, the analysis of stability can be completed by Lyapunov stability theory. Finally, To validate the proposed control scheme, the simulation results are illustrated in this paper. Simulation results show that, the tracking precision and the robustness of the system are improved under the proposed control method.

scholarly journals Adaptive controllability of microscopic chaos generated in chemical reactor system using anti-synchronization strategy

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Taqseer Khan ◽  
Harindri Chaudhary
Keyword(s):  
Chaos Control ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Chemical Reactor ◽  
Reactor System ◽  
State Variables ◽  
Unknown Parameters ◽  
Control Functions ◽  
Synchronization Scheme ◽  
The Given

<p style='text-indent:20px;'>In this manuscript, we design a methodology to investigate the anti-synchronization scheme in chaotic chemical reactor system using adaptive control method (ACM). Initially, an ACM has been proposed and analysed systematically for controlling the microscopic chaos found in the discussed system which is essentially described by employing Lyapunov stability theory (LST). The required asymptotic stability criterion of the state variables of the discussed system having unknown parameters is derived by designing appropriate control functions and parameter updating laws. In addition, numerical simulation results in MATLAB software are performed to illustrate the effective presentation of the considered strategy. Simulations outcomes correspond that the primal aim of chaos control in the given system have been attained computationally.</p>

Synchronization of Unknown Uncertain Chaotic Systems Via Adaptive Control Method

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Mohammad Pourmahmood Aghababa ◽  
Bijan Hashtarkhani
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Adaptive Controllers ◽  
Control Scheme ◽  
Uncertain Chaotic Systems ◽  
The Stability ◽  
Feedback Control Strategy ◽  
Adaptive Control Scheme

In this paper, an adaptive control scheme is offered to synchronize two different uncertain chaotic systems. It is assumed that the whole dynamics of both master and slave chaotic systems and their bounds are unknown and different. The error system stabilization is achieved in two cases: with input nonlinearities and without input nonlinearities. We design an adaptive control scheme based on the state boundedness property of the chaotic systems. The proposed method does not need any information about nonlinear/linear terms of the chaotic systems. It only uses an adaptive feedback control strategy. The stability of the proposed controllers is proved by using the Lyapunov stability theory. Finally, the designed adaptive controllers are applied to synchronize two different pairs of the chaotic systems (Lorenz–Chen and electromechanical device–electrostatic transducer).

scholarly journals Hybrid projective combination–combination synchronization in non-identical hyperchaotic systems using adaptive control

2020 ◽  
Vol 9 (3) ◽  
pp. 597-611
Author(s):  
Ayub Khan ◽  
Harindri Chaudhary
Keyword(s):  
Adaptive Control ◽  
Secure Communication ◽  
Chaos Control ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Combination Synchronization ◽  
Synchronization Scheme ◽  
Hyperchaotic Systems

Abstract In this paper, we investigate a hybrid projective combination–combination synchronization scheme among four non-identical hyperchaotic systems via adaptive control method. Based on Lyapunov stability theory, the considered approach identifies the unknown parameters and determines the asymptotic stability globally. It is observed that various synchronization techniques, for instance, chaos control problem, combination synchronization, projective synchronization, etc. turn into particular cases of combination–combination synchronization. The proposed scheme is applicable to secure communication and information processing. Finally, numerical simulations are performed to demonstrate the effectivity and correctness of the considered technique by using MATLAB.

ICMA: AN EFFICIENT INTEGRATED CONGESTION CONTROL APPROACH

2019 ◽  
Vol 14 ◽  
Author(s):  
Tayyab Khan ◽  
Karan Singh ◽  
Kamlesh C. Purohit
Keyword(s):  
Congestion Control ◽  
Packet Loss ◽  
Control Method ◽  
Multicast Communication ◽  
Bandwidth Utilization ◽  
File Transfer ◽  
Control Approach ◽  
Communication Technique ◽  
Control Scheme ◽  
Multiparty Video Conferencing

Background: With the growing popularity of various group communication applications such as file transfer, multimedia events, distance learning, email distribution, multiparty video conferencing and teleconferencing, multicasting seems to be a useful tool for efficient multipoint data distribution. An efficient communication technique depends on the various parameters like processing speed, buffer storage, and amount of data flow between the nodes. If data exceeds beyond the capacity of a link or node, then it introduces congestion in the network. A series of multicast congestion control algorithms have been developed, but due to the heterogeneous network environment, these approaches do not respond nor reduce congestion quickly whenever network behavior changes. Objective: Multicasting is a robust and efficient one-to-many (1: M) group transmission (communication) technique to reduced communication cost, bandwidth consumption, processing time and delays with similar reliability (dependability) as of regular unicast. This patent presents a novel and comprehensive congestion control method known as integrated multicast congestion control approach (ICMA) to reduce packet loss. Methods: The proposed mechanism is based on leave-join and flow control mechanism along with proportional integrated and derivate (PID) controller to reduce packet loss, depending on the congestion status. In the proposed approach, Proportional integrated and derivate controller computes expected incoming rate at each router and feedback this rate to upstream routers of the multicast network to stabilize their local buffer occupancy. Results: Simulation results on NS-2 exhibit the immense performance of the proposed approach in terms of delay, throughput, bandwidth utilization, and packet loss than other existing methods. Conclusion: The proposed congestion control scheme provides better bandwidth utilization and throughput than other existing approaches. Moreover, we have discussed existing congestion control schemes with their research gaps. In the future, we are planning to explore the fairness and quality of service issue in multicast communication.

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