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Mostafaee J, Mobayen S, Vaseghi B, Vahedi M, Fekih A. Complex dynamical behaviors of a novel exponential hyper-chaotic system and its application in fast synchronization and color image encryption. Sci Prog 2021; 104:368504211003388. [PMID: 33733934 PMCID: PMC10455023 DOI: 10.1177/00368504211003388] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
This paper proposes a novel exponential hyper-chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan-Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper-chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high-order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper-chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper-chaotic system to increase the security of image encryption.
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Affiliation(s)
- Javad Mostafaee
- Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
| | - Saleh Mobayen
- Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
- Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Yunlin, R.O.C
- Department of Electrical Engineering, University of Zanjan, Zanjan, Iran
| | - Behrouz Vaseghi
- Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
- Department of Electrical Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran
| | - Mohammad Vahedi
- Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
| | - Afef Fekih
- Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran
- Department of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA, USA
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Wan L, Chen G, Sheng M, Zhang Y, Zhang Z. Adaptive chattering-free terminal sliding-mode control for full-order nonlinear system with unknown disturbances and model uncertainties. INT J ADV ROBOT SYST 2020. [DOI: 10.1177/1729881420925295] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
This study investigates an adaptive chattering-free sliding-mode control method for n-order nonlinear systems with unknown external disturbances and uncertain models. The proposed method takes the advantage of finite-time fast convergence to avoid singularity problem and ensure its robustness against system uncertainty and unknown disturbance. To achieve fast convergence from any initial condition to system origin, a full-order terminal sliding-mode controller containing differential terms is proposed based on the property of n-order nonlinear systems. Then the continuous and smooth actual control law is obtained by integrating the differential control law containing the discontinuous sign function to realize chattering free. Meanwhile, instead of evaluating the fixed upper bound of system uncertainty and interference in practical implementations, an adaptive method is utilized for its unknown upper bound estimation. The convergence of the adaptive terminal sliding-mode controller in finite time is verified based on Lyapunov stability theory. Finally, two simulation results demonstrate the effectiveness of the proposed control method.
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Affiliation(s)
- Lei Wan
- Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin, Heilongjiang, China
- Peng Cheng Laboratory, Shenzhen, China
| | - Guofang Chen
- Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin, Heilongjiang, China
- Peng Cheng Laboratory, Shenzhen, China
| | - Mingwei Sheng
- Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin, Heilongjiang, China
- Peng Cheng Laboratory, Shenzhen, China
| | - Yinghao Zhang
- Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin, Heilongjiang, China
- Peng Cheng Laboratory, Shenzhen, China
| | - Ziyang Zhang
- Science and Technology on Underwater Vehicle Laboratory, Harbin Engineering University, Harbin, Heilongjiang, China
- Peng Cheng Laboratory, Shenzhen, China
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Abstract
SUMMARYThis paper proposes a new design of robust control combining feedback linearization, backstepping, and sliding mode control called FLBS applied to the locomotion of five-link biped robot. Due to the underactuated robot’s model, the system has a hybrid nature, while the FLBS control can provide a stabilized walking movement even with the existence of large disturbances and uncertainties by implementing smooth chatter-free signals. Stability of the method is proven using the Lyapunov theorem based on the hybrid zero dynamics and Poincaré map. The simulations show the controller performance such as robustness and chatter-free response in the presence of uncertainty and disturbance.
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Mobayen S. Chaos synchronization of uncertain chaotic systems using composite nonlinear feedback based integral sliding mode control. ISA TRANSACTIONS 2018; 77:100-111. [PMID: 29628180 DOI: 10.1016/j.isatra.2018.03.026] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2016] [Revised: 03/03/2018] [Accepted: 03/29/2018] [Indexed: 06/08/2023]
Abstract
This paper proposes a combination of composite nonlinear feedback and integral sliding mode techniques for fast and accurate chaos synchronization of uncertain chaotic systems with Lipschitz nonlinear functions, time-varying delays and disturbances. The composite nonlinear feedback method allows accurate following of the master chaotic system and the integral sliding mode control provides invariance property which rejects the perturbations and preserves the stability of the closed-loop system. Based on the Lyapunov- Krasovskii stability theory and linear matrix inequalities, a novel sufficient condition is offered for the chaos synchronization of uncertain chaotic systems. This method not only guarantees the robustness against perturbations and time-delays, but also eliminates reaching phase and avoids chattering problem. Simulation results demonstrate that the suggested procedure leads to a great control performance.
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Affiliation(s)
- Saleh Mobayen
- Electrical Engineering Department, University of Zanjan, P.O. Box 38791-45371, Zanjan, Iran.
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Sun H, Hou L, Li C. Synchronization of single-degree-of-freedom oscillators via neural network based on fixed-time terminal sliding mode control scheme. Neural Comput Appl 2018. [DOI: 10.1007/s00521-018-3445-x] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control. Neurocomputing 2018. [DOI: 10.1016/j.neucom.2017.07.063] [Citation(s) in RCA: 89] [Impact Index Per Article: 14.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Xiao J, Zhong S, Li Y, Xu F. Finite-time Mittag-Leffler synchronization of fractional-order memristive BAM neural networks with time delays. Neurocomputing 2017. [DOI: 10.1016/j.neucom.2016.09.049] [Citation(s) in RCA: 123] [Impact Index Per Article: 17.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Vargas JA, Grzeidak E, Gularte KH, Alfaro SC. An adaptive scheme for chaotic synchronization in the presence of uncertain parameter and disturbances. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2015.10.026] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Zaheer MH, Rehan M, Mustafa G, Ashraf M. Delay-range-dependent chaos synchronization approach under varying time-lags and delayed nonlinear coupling. ISA TRANSACTIONS 2014; 53:1716-1730. [PMID: 25440951 DOI: 10.1016/j.isatra.2014.09.007] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/27/2014] [Revised: 08/28/2014] [Accepted: 09/17/2014] [Indexed: 06/04/2023]
Abstract
This paper proposes a novel state feedback delay-range-dependent control approach for chaos synchronization in coupled nonlinear time-delay systems. The coupling between two systems is esteemed to be nonlinear subject to time-lags. Time-varying nature of both the intrinsic and the coupling delays is incorporated to broad scope of the present study for a better-quality synchronization controller synthesis. Lyapunov-Krasovskii (LK) functional is employed to derive delay-range-dependent conditions that can be solved by means of the conventional linear matrix inequality (LMI)-tools. The resultant control approach for chaos synchronization of the master-slave time-delay systems considers non-zero lower bound of the intrinsic as well as the coupling time-delays. Further, the delay-dependent synchronization condition has been established as a special case of the proposed LK functional treatment. Furthermore, a delay-range-dependent condition, independent of the delay-rate, has been provided to address the situation when upper bound of the delay-derivative is unknown. A robust state feedback control methodology is formulated for synchronization of the time-delay chaotic networks against the L2 norm bounded perturbations by minimizing the L2 gain from the disturbance to the synchronization error. Numerical simulation results are provided for the time-delay chaotic networks to show effectiveness of the proposed delay-range-dependent chaos synchronization methodologies.
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Affiliation(s)
- Muhammad Hamad Zaheer
- Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), P. O. Box 45650, Islamabad, Pakistan.
| | - Muhammad Rehan
- Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), P. O. Box 45650, Islamabad, Pakistan.
| | - Ghulam Mustafa
- Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences (PIEAS), P. O. Box 45650, Islamabad, Pakistan.
| | - Muhammad Ashraf
- Department of Electronics Engineering, Mohammad Ali Jinnah University, Islamabad, Pakistan.
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Mahmoodabadi M, Taherkhorsandi M, Bagheri A. Optimal robust sliding mode tracking control of a biped robot based on ingenious multi-objective PSO. Neurocomputing 2014. [DOI: 10.1016/j.neucom.2013.07.009] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Exponential stability of stochastic high-order BAM neural networks with time delays and impulsive effects. Neural Comput Appl 2012. [DOI: 10.1007/s00521-012-0861-1] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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