A hyperchaotic memristor oscillator with fuzzy based chaos control and LQR based chaos synchronization

Rajagopal, Karthikeyan; Jahanshahi, Hadi; Varan, Metin; Bayır, Ihsan; Pham, Viet–Thanh; Jafari, Sajad

doi:10.1016/j.aeue.2018.06.043

Cited by 67 publications

(19 citation statements)

References 32 publications

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“…Rajagopal et al [56] have designed a linear quadratic regulator and a fuzzy-based PID controller for synchronization of a hyperchaotic memristor oscillator.…”

Section: Introductionmentioning

confidence: 99%

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

Jahanshahi

Yousefpour

Muñoz‐Pacheco

et al. 2020

Applied Soft Computing

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129

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“…Rajagopal et al [56] have designed a linear quadratic regulator and a fuzzy-based PID controller for synchronization of a hyperchaotic memristor oscillator.…”

Section: Introductionmentioning

confidence: 99%

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

Jahanshahi

Yousefpour

Muñoz‐Pacheco

et al. 2020

Applied Soft Computing

Self Cite

129

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“…In the last few years, a broad variety of techniques have also been proposed for controlling nonlinear and complex systems, including adaptive control, a backstepping approach, fuzzy control, optimal control, and sliding mode control [25][26][27][28][29][30][31][32][33][34]. In this regard, the control and synchronization of chaotic systems are also attracting a lot of attention [35][36][37][38]. For instance, Pérez-Cruz et al proposed a novel linear feedback controller for synchronization of chaotic master and slave systems [39].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method

Wang

Yousefpour

Yusuf

et al. 2020

Entropy

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In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of equilibria, and offset boosting of the chaotic attractor, are stated and discussed and a new disturbance-observer-based adaptive terminal sliding mode control (ATSMC) method with input saturation is proposed for the control and synchronization of the chaotic system. To deal with unexpected noises, an extended Kalman filter (EKF) is implemented along with the designed controller. Through the concept of Lyapunov stability, the proposed control technique guarantees the finite time convergence of the uncertain system in the presence of disturbances and control input limits. Furthermore, to decrease the chattering phenomena, a genetic algorithm is used to optimize the controller parameters. Finally, numerical simulations are presented to demonstrate the performance of the designed control scheme in the presence of noise, disturbances, and control input saturation.

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“…Nowadays, chaotic systems and their applications attract considerable attention [1][2][3][4]. Indeed, a chaotic system is characterized by complex similarity to random behavior, sensitivity to initial conditions, and continuous broad-band power spectrum [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

A Multistable Chaotic Jerk System with Coexisting and Hidden Attractors: Dynamical and Complexity Analysis, FPGA-Based Realization, and Chaos Stabilization Using a Robust Controller

Chen

Azucena

et al. 2020

Symmetry

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In the present work, a new nonequilibrium four-dimensional chaotic jerk system is presented. The proposed system includes only one constant term and has coexisting and hidden attractors. Firstly, the dynamical behavior of the system is investigated using bifurcation diagrams and Lyapunov exponents. It is illustrated that this system either possesses symmetric equilibrium points or does not possess an equilibrium. Rich dynamics are found by varying system parameters. It is shown that the system enters chaos through experiencing a cascade of period doublings, and the existence of chaos is verified. Then, coexisting and hidden chaotic attractors are observed, and basin attraction is plotted. Moreover, using the multiscale C0 algorithm, the complexity of the system is investigated, and a broad area of high complexity is displayed in the parameter planes. In addition, the chaotic behavior of the system is studied by field-programmable gate array implementation. A novel methodology to discretize, simulate, and implement the proposed system is presented, and the successful implementation of the proposed system on FPGA is verified through the simulation outcome. Finally, a robust sliding mode controller is designed to suppress the chaotic behavior of the system. To deal with unexpected disturbances and uncertainties, a disturbance observer is developed along with the designed controller. To show the successful performance of the designed control scheme, numerical simulations are also presented.

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A hyperchaotic memristor oscillator with fuzzy based chaos control and LQR based chaos synchronization

Cited by 67 publications

References 32 publications

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a novel fuzzy adaptive sliding mode control method

Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method

A Multistable Chaotic Jerk System with Coexisting and Hidden Attractors: Dynamical and Complexity Analysis, FPGA-Based Realization, and Chaos Stabilization Using a Robust Controller

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