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Gyroscope Chaos Control Using Backstepping Control Design
Laboratory of Electrical and Electronic Engineering (LGEE), National Higher Polytechnic School Marien Ngouabi University, Brazzaville, Republic of the Congo
School of Automation and Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China
School of Automation and Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China
Jiangsu Province Key Laboratory for Novel Technology, Department of Computers and Technology, Nanjing University, Nanjing, China
Laboratory of Control Theory and Control Engineering, Hohai University, College of Energy and Electrical Engineering, Nanjing, China
Laboratory of Mechanical, Energy and Engineering, National Higher Polytechnic School, Marien Ngouabi, University, Brazzaville, Republic of the Congo
Laboratory of Nanomaterials and Nanotechnologies, National Institute for Research in Exact and Naturel Sciences (IRSEN) P.O. Brazzaville, Republic of the Congo
- 1 Laboratory of Electrical and Electronic Engineering (LGEE), National Higher Polytechnic School Marien Ngouabi University, Brazzaville, Republic of the Congo
- 2 School of Automation and Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China
- 3 School of Automation and Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing, China
- 4 Jiangsu Province Key Laboratory for Novel Technology, Department of Computers and Technology, Nanjing University, Nanjing, China
- 5 Laboratory of Control Theory and Control Engineering, Hohai University, College of Energy and Electrical Engineering, Nanjing, China
- 6 Laboratory of Mechanical, Energy and Engineering, National Higher Polytechnic School, Marien Ngouabi, University, Brazzaville, Republic of the Congo
- 7 Laboratory of Nanomaterials and Nanotechnologies, National Institute for Research in Exact and Naturel Sciences (IRSEN) P.O. Brazzaville, Republic of the Congo
International Journal of Modern Nonlinear Theory and Application·Volume 14 (2025)·Pages 43–58·Published 29 September 2025·DOI10.4236/ijmnta.2025.143003
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Abstract
The study proposes a backstepping controller that omits cubic (third-order) terms to suppress chaotic motion in a two-state symmetric gyroscope. A Lyapunov-based proof claims global asymptotic stability, and numerical simulations illustrate state convergence under the new law of control and Lyapunov stability of theory respectively. The work aims to reduce controller complexity compared with earlier designs that retained third-order terms. A rigorous analysis shows that the controller will converge asymptotically. Numerical simulations are given to verify the effectiveness of the proposed backstepping controller design.
KeywordsChaotic-GyroscopeLyapunov MethodBackstepping MethodControl Design
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