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Published on: September 21, 2017
Impulsive control for synchronization of a class of continuous systems
Yan-Wu Wang1, Zhi-Hong Guan, Jiang-Wen Xiao
1Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China.
Chaos (Woodbury, N.Y.)
|March 9, 2004
Summary
This study introduces a new impulsive control theory to synchronize continuous systems. The method effectively synchronizes chaotic systems, demonstrating its practical application.
Area of Science:
- Control Theory
- Nonlinear Dynamics
- Systems Engineering
Background:
- Synchronization is crucial for coupled systems.
- Impulsive control offers unique advantages for system management.
- Chaotic systems present challenges for synchronization due to their sensitive dependence on initial conditions.
Purpose of the Study:
- To develop a novel impulsive control theory for synchronizing continuous systems.
- To establish a sufficient condition for effective impulsive control.
- To validate the proposed control scheme using chaotic systems.
Main Methods:
- Development of a theoretical framework for impulsive control.
- Derivation of a mathematical condition guaranteeing synchronization.
- Application and simulation of the control strategy on continuous chaotic systems.
Main Results:
- A sufficient condition for impulsive control synchronization was successfully derived.
- The impulsive control scheme was demonstrated to be effective in synchronizing chaotic systems.
- Simulation results confirmed the theoretical predictions and the method's efficacy.
Conclusions:
- The developed impulsive control theory provides a robust method for system synchronization.
- The derived sufficient condition ensures reliable synchronization performance.
- The approach is effective for synchronizing complex continuous chaotic systems.
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