The Design of an Anti-Synchronization Control Algorithm for a 4D Laser System

When studying the control problems of nonlinear systems, there are always uncertainties and disturbances. The existence of this phenomenon will increase the error in production engineering and reduce work efficiency. In order to reduce the nonlinear asymmetric control, the control method of a laser...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 14; no. 4; p. 710
Main Authors Wang, Zuoxun, Pan, Jinhao, Ma, Lei, Wang, Guijuan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.04.2022
Subjects
Algorithms
anti-synchronization
Communication
Complex numbers
Control algorithms
Control methods
Control systems design
Control theory
Design
dynamic feedback control
Feedback control
Industrial production
Lasers
nonlinear
Nonlinear control
Nonlinear systems
Number systems
Production engineering
Robots
stabilization
Synchronism
synchronization
UDE
Uncertainty
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Summary:When studying the control problems of nonlinear systems, there are always uncertainties and disturbances. The existence of this phenomenon will increase the error in production engineering and reduce work efficiency. In order to reduce the nonlinear asymmetric control, the control method of a laser hyperchaotic system is designed in this paper. The system is a complex number system, with remarkable nonlinear characteristics. The system is divided into two parts by calculating the state transformation matrix, which shows that the system can realize simultaneous synchronization and anti-synchronization. Firstly, in the ideal case, the stabilization, synchronization, and anti-synchronization of the system are studied by using the dynamic gain feedback method, and a dynamic feedback controller is designed. Secondly, in the case of uncertainty and disturbance, a dynamic feedback control strategy based on uncertainty and disturbance estimator (UDE) is proposed. With the aim to solve the control problem of the system, the corresponding controller is designed to modify the system. Finally, through simulation and comparison, it is verified that the effect of this method is remarkable.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14040710