The projection synchronization issue of complex Lü chaotic systems is examined in this work. Firstly, the system is presented, the complex chaotic system is transformed into the equivalent real number system, on this basis, the existence of the projection synchronization problem is proved and solution is obtained by an algorithm. Secondly, combines feedback controller and uncertainty and disturbance estimator (UDE), where one is used to implement the projection synchronization of nominal complex chaotic systems and the UDE controller is used to remove uncertainty and disturbance. Finally, the validity of the proposed results is proved by numerical simulation.

This paper mainly studies the partial anti-synchronization of laser hyperchaos system. First, transform complex systems into real systems. Secondly, in order to realize the full synchronization and partial anti synchronization of the system, the dynamic gain feedback control method and the dynamic feedback method based on uncertainty and disturbance estimator (UDE) are used to design simple and physically feasible controllers respectively. Finally, through MATLAB numerical simulation, it is proved that the error system is asymptotically stable, and the master-slave system realizes partial anti synchronization.

This paper introduces the working principle of the underwater spherical detection robot BYSQ-3. Through the known kinematics and dynamic models of the underwater spherical robot, using the combination of dynamic feedback gain control and UDE control, several designs are designed. The simple physical controller realizes the stabilization control of the system, and ensures that the whole system can achieve global asymptotic stability quickly. It is simpler and simpler than the traditional nonlinear control method, and the simulation results show that the correctness and effectiveness of the theory are verified.

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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.