TY - JOUR
T1 - Chatter-Free Adaptive Control of a Memristor-Based Four-Dimensional Chaotic Oscillator
AU - Shafiq, Muhammad
AU - Ahmad, Israr
N1 - Publisher Copyright:
© 2024, King Fahd University of Petroleum & Minerals.
PY - 2024/1/16
Y1 - 2024/1/16
N2 - Memristors have several chaotic dynamic models and have been used successfully in various fields, including secure communication systems, information storage, and artificial neural networks. The memristor-based four-dimensional chaotic (FDMC) systems generate unpredictable and intricate time domain signals. Parameter fluctuations in the FDMC system may give birth to chaos, making it difficult to suppress. Stabilizing chaos in the FDMC system improves the circuit’s performance. This paper synthesizes a novel time-efficient chatter-free nonlinear robust adaptive control (NLRAC) technique that stabilizes chaos in the FDMC system affected by time-varying unknown bounded exogenous disturbances and model uncertainties. The proposed NLRAC strategy decimates the time-varying unknown bounded exogenous disturbances and model uncertainties effects; it establishes a faster, smoother state-variable trajectories convergence to the zero vicinity. The theoretical analysis and mathematical proofs are based on the Lyapunov stability technique. Computer simulation results show that the proposed NLRAC technique effectively brings the FDMC system's state-variable trajectories to zero with reduced fluctuations for control input signals and state-variable trajectories. This feedback controller’s attribute enhances closed-loop stability performance, improves precision, and reduces risk overshoot. The paper includes comparative computer simulation results to endorse the proposed controller performance.
AB - Memristors have several chaotic dynamic models and have been used successfully in various fields, including secure communication systems, information storage, and artificial neural networks. The memristor-based four-dimensional chaotic (FDMC) systems generate unpredictable and intricate time domain signals. Parameter fluctuations in the FDMC system may give birth to chaos, making it difficult to suppress. Stabilizing chaos in the FDMC system improves the circuit’s performance. This paper synthesizes a novel time-efficient chatter-free nonlinear robust adaptive control (NLRAC) technique that stabilizes chaos in the FDMC system affected by time-varying unknown bounded exogenous disturbances and model uncertainties. The proposed NLRAC strategy decimates the time-varying unknown bounded exogenous disturbances and model uncertainties effects; it establishes a faster, smoother state-variable trajectories convergence to the zero vicinity. The theoretical analysis and mathematical proofs are based on the Lyapunov stability technique. Computer simulation results show that the proposed NLRAC technique effectively brings the FDMC system's state-variable trajectories to zero with reduced fluctuations for control input signals and state-variable trajectories. This feedback controller’s attribute enhances closed-loop stability performance, improves precision, and reduces risk overshoot. The paper includes comparative computer simulation results to endorse the proposed controller performance.
KW - Chaos stabilization
KW - Hyperchaotic system
KW - Lyapunov stability theory
KW - Nonlinear robust adaptive controller
UR - http://www.scopus.com/inward/record.url?scp=85182475378&partnerID=8YFLogxK
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UR - https://www.mendeley.com/catalogue/884a62eb-ca7f-3597-9f61-2ea242eb2697/
U2 - 10.1007/s13369-023-08587-x
DO - 10.1007/s13369-023-08587-x
M3 - Article
AN - SCOPUS:85182475378
SN - 2193-567X
JO - Arabian Journal for Science and Engineering
JF - Arabian Journal for Science and Engineering
ER -