Several Control Problems of a Class of Complex Nonlinear Systems Based on UDE

Zuoxun Wang, Wenzhu Zhang, Lei Ma and Guijuan Wang
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Zuoxun Wang: School of Mechanical and Electrical Engineering, Shandong Xiehe University, Jinan 250107, China
Wenzhu Zhang: School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Lei Ma: School of Mechanical and Electrical Engineering, Shandong Xiehe University, Jinan 250107, China
Guijuan Wang: School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, China

Mathematics, 2022, vol. 10, issue 8, 1-15

Abstract: This paper mainly studies several control problems of a complex 4D chaotic system. Firstly, the real part and imaginary part of the complex 4D chaotic system are separated, and the system is equivalent to a six-dimensional continuous autonomous real chaotic system. Then, the stabilization, synchronization, and anti-synchronization of the complex four-dimensional chaotic system are realized by using the control method of the combination of dynamic feedback gain control and UDE control, and the corresponding physical controllers are designed respectively. Finally, the correctness and effectiveness of the theoretical results are verified by numerical simulation.

Keywords: complex; complete synchronization; anti-synchronization; dynamic feedback control; UDE control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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