Observer-Based Synchronization of Switched Chaotic Systems

2014 ◽  
Vol 602-605 ◽  
pp. 993-996
Author(s):  
Li Ming Du ◽  
Feng Ying Wang ◽  
Zi Yang Han
Keyword(s):  
Function Method ◽  
Chaotic Systems ◽  
Adaptive Observer ◽  
Common Lyapunov Function ◽  
State Information ◽  
Control Scheme ◽  
Lyapunov Function Method ◽  
Error System ◽  
Effectiveness And Efficiency ◽  
Error State

This paper presents a control scheme for the synchronization of switched chaotic systems. The general case that the error state information between master and slave chaotic systems is not available for design the controller, an adaptive observer-based error system is constructed and the controller is designed. Utilizing common Lyapunov function method, a synchronization criterion is given. Simulation shows the effectiveness and efficiency of the proposed scheme.

Adaptive Switching Control for Projected Synchronization of Chaotic Systems with Uncertainties

2012 ◽  
Vol 499 ◽  
pp. 360-365
Author(s):  
Li Ming Du ◽  
Feng Ying Wang ◽  
Jin Xiang Pian ◽  
Zi Yang Han
Keyword(s):  
Lyapunov Function ◽  
Function Method ◽  
Chaotic Systems ◽  
Switching Control ◽  
Projective Synchronization ◽  
Synchronization Problem ◽  
Control Scheme ◽  
Lyapunov Function Method ◽  
Adaptive Switching Control ◽  
Liu System

This paper is concerned with the projective synchronization problem for a class of chaotic system with uncertainties. By utilizing single Lyapunov function method, an adaptive switching control scheme for the synchronization has been presented. Simulation examples, the chaotic Liu system are given to show the feasibility and effectiveness of the proposed theory and method.

An H_Infinity Approach to Synchronization of Chaotic Systems

2013 ◽  
Vol 756-759 ◽  
pp. 3874-3878
Author(s):  
Li Ming Du ◽  
Feng Ying Wang ◽  
Chang Chun Sun ◽  
Zheng Yu Li
Keyword(s):  
Adaptive Control ◽  
Lyapunov Function ◽  
Control Theory ◽  
General Class ◽  
Function Method ◽  
Chaotic Systems ◽  
External Disturbance ◽  
Adaptive Controller ◽  
Lyapunov Function Method ◽  
Norm Constraint

In this paper, a new adaptive approach for H_infinity synchronization of a general class of chaotic systems. Based on adaptive control theory and Lyapunov function method, An adaptive controller is constructed, the H_infinity synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H_infinity norm constraint. The results of simulation are given to show effectiveness of the proposed method.

scholarly journals Distributed Attitude Consensus for Multiple Rigid Spacecraft under Jointly Connected Switching Topologies

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Long Ma ◽  
Shicheng Wang ◽  
Haibo Min ◽  
Shouyi Liao ◽  
Zhiguo Liu
Keyword(s):  
Function Method ◽  
Consensus Problem ◽  
Time Intervals ◽  
Common Lyapunov Function ◽  
Switching Topologies ◽  
First Case ◽  
Lyapunov Function Method ◽  
Communication Topology ◽  
Leader Following ◽  
Rigid Spacecraft

We study the distributed leader-following attitude consensus problem for multiple rigid spacecraft with a single leader under jointly connected switching topologies. Two cases are considered, where the first case is with a static leader and the second case is with a dynamic leader. By constructing an auxiliary vector and a distributed observer for each follower spacecraft, the controllers are designed to drive all the attitudes of the follower spacecraft to the leader’s, respectively, for both of the two cases, though there are some time intervals in which the communication topology is not connected. The whole system is proved to be stable by using common Lyapunov function method. Finally, the theoretical result is illustrated by numerical simulations.

FINITE-TIME SYNCHRONIZATION OF DYNAMICAL NETWORKS COUPLED WITH COMPLEX-VARIABLE CHAOTIC SYSTEMS

2013 ◽  
Vol 24 (09) ◽  
pp. 1350058 ◽  
Author(s):  
ZHAOYAN WU ◽  
QINGLING YE ◽  
DANFENG LIU
Keyword(s):  
Complex Variable ◽  
Finite Time ◽  
Function Method ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Time Stability ◽  
Dynamical Networks ◽  
Finite Time Stability ◽  
Lyapunov Function Method

In this paper, finite-time synchronization of dynamical networks coupled with complex-variable chaotic systems is investigated. According to Lyapunov function method and finite-time stability theory, both the dynamical networks without and with coupling delay are considered through designing proper finite-time controllers. Several sufficient conditions for finite-time synchronization are derived and verified to be effective by some numerical examples.

Adaptive Synchronization for a Class of Switched Chaotic Systems with Uncertainty

2012 ◽  
Vol 499 ◽  
pp. 273-277
Author(s):  
Feng Ying Wang ◽  
Li Ming Du ◽  
Gui Li ◽  
Jin Xiang Pian
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Adaptive Controller ◽  
Adaptive Synchronization ◽  
Common Lyapunov Function ◽  
Arbitrary Switching ◽  
Lyapunov Function Method ◽  
Error Dynamic ◽  
Adaptive Control Strategy ◽  
The Stability

In this paper, a new adaptive control strategy for synchronization of switched chaotic systems with uncertainties is developed. Using adaptive control theory and common Lyapunov function method, An adaptive controller is constructed, and a sufficient condition is attainted for the stability of the error dynamic between drive and response switched chaotic systems with uncertainty under arbitrary switching. The results of simulation are given to show effectiveness of the proposed method.

Control Design of a Mobile Robot in the Environment of Obstacles Based on a Rounded V-Shape Lyapunov Function

2019 ◽  
Author(s):  
Ho-Hoon Lee
Keyword(s):  
Lyapunov Function ◽  
Mobile Robot ◽  
Motion Control ◽  
Function Method ◽  
Input Saturation ◽  
Trajectory Generation ◽  
Position Errors ◽  
Control Scheme ◽  
Lyapunov Function Method ◽  
Multiple Obstacles

Abstract This paper proposes a V-shape Lyapunov function method with application to the design of a control scheme for a mobile robot navigating through multiple obstacles. The proposed design method solves the serious problem of input saturation due to big position errors in the beginning of the control associated with the conventional parabolic Lyapunov function method. The resulting control consists of a trajectory generation scheme and a motion control scheme. The trajectory generation scheme computes the translational and rotational reference velocities in real time that drive the robot to a given goal position while avoiding multiple obstacles. The motion control scheme computes the driving force and rotational torque to track the reference velocities. The nonholonomic constraints of the mobile robot are used in the design of the kinematic trajectory generation scheme, where a repulsive potential function is used for obstacle avoidance. The dynamic model of the robot is used in the design of the motion control scheme. Under certain conditions, the proposed control guarantees asymptotic stability while keeping all internal signals bounded. The effectiveness of the proposed control method has been shown with realistic computer simulations.

scholarly journals Second-Order Consensus for Multiagent Systems under Directed and Switching Topologies

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Lixin Gao ◽  
Jingjing Zhang ◽  
Wenhai Chen
Keyword(s):  
Function Method ◽  
Sufficient Conditions ◽  
Common Lyapunov Function ◽  
Special Cases ◽  
Lyapunov Function Method ◽  
Leader Following ◽  
The Common ◽  
Feedback Laws ◽  
Integrator Model ◽  
Double Integrator

We consider multiagent consensus problems in a decentralized fashion. The interconnection topology among the agents is switching and directed. The agent dynamics is expressed in the form of a double-integrator model. Two different cases are considered: one is the leader-following case and the other is the leaderless case. Based on graph theory and the common Lyapunov function method, some sufficient conditions are established for the consensus stability of the considered systems with the neighbor-based feedback laws in both leader-following case and leaderless case, respectively. As special cases, the consensus conditions for balanced and undirected interconnection topology cases can be established directly. Finally, two numerical examples are given to illustrate the obtained results.

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