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Article

Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control

1
Robotics and Internet-of-Things Lab (RIOTU), Prince Sultan University, Riyadh 12435, Saudi Arabia
2
Faculty of Computers and Artificial Intelligence, Benha University, Benha 13511, Egypt
3
Universidad Tecnologica Centroamericana (UNITEC), Tegucigalpa 11101, Honduras
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(1), 122; https://doi.org/10.3390/e22010122
Received: 31 December 2019 / Revised: 15 January 2020 / Accepted: 16 January 2020 / Published: 19 January 2020
In this study, the design of an adaptive terminal sliding mode controller for the stabilization of port Hamiltonian chaotic systems with hidden attractors is proposed. This study begins with the design methodology of a chaotic oscillator with a hidden attractor implementing the topological framework for its respective design. With this technique it is possible to design a 2-D chaotic oscillator, which is then converted into port-Hamiltonia to track and analyze these models for the stabilization of the hidden chaotic attractors created by this analysis. Adaptive terminal sliding mode controllers (ATSMC) are built when a Hamiltonian system has a chaotic behavior and a hidden attractor is detected. A Lyapunov approach is used to formulate the adaptive device controller by creating a control law and the adaptive law, which are used online to make the system states stable while at the same time suppressing its chaotic behavior. The empirical tests obtaining the discussion and conclusions of this thesis should verify the theoretical findings. View Full-Text
Keywords: chaos; hidden attractors; port hamiltonian systems; adaptive control; adaptive terminal sliding mode control chaos; hidden attractors; port hamiltonian systems; adaptive control; adaptive terminal sliding mode control
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MDPI and ACS Style

Azar, A.T.; Serrano, F.E. Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control. Entropy 2020, 22, 122. https://doi.org/10.3390/e22010122

AMA Style

Azar AT, Serrano FE. Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control. Entropy. 2020; 22(1):122. https://doi.org/10.3390/e22010122

Chicago/Turabian Style

Azar, Ahmad Taher, and Fernando E. Serrano. 2020. "Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control" Entropy 22, no. 1: 122. https://doi.org/10.3390/e22010122

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