Goitom Tadesse

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I am graduated from Ethiopia defense university, college of engineering by industrial control in masters of technology. I am trying to work on the nonlinear dynamic of time-delayed systems and control.

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University of Zagreb

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Kansas State University

Armando Marques-Guedes

UNL - New University of Lisbon

Gary Feinman

Field Museum

Isad Saric

University of Sarajevo

Yalova University

Al-Azhar University

University of Tuzla

The University Of Jordan

Nasreen Kausar

Yildiz Technical University

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$Research paper thumbnail of A fractional-order ship power system: chaos and its dynamical properties$

A fractional-order ship power system: chaos and its dynamical properties

International Journal of Nonlinear Sciences and Numerical Simulation, 2021

In this research, the ship power system is studied with a fractional-order approach. A 2-D model ... more In this research, the ship power system is studied with a fractional-order approach. A 2-D model of a two-generator parallel-connected is considered. A chaotic attractor is observed for particular parameter values. The fractional-order form is calculated with the Adam–Bashforth–Moulton method. The chaotic response is identified even for the order 0.99. Phase portrait is generated using the Caputo derivative approach. Wolf’s algorithm is used to calculate Lyapunov exponents. For the considered values of parameters, one positive Lyapunov exponent confirms the existence of chaos. Bifurcation diagrams are presented to analyze the various dynamical behaviors and bifurcation points. Interestingly, the considered system is multistable. Also, antimonotonicity, period-doubling, and period halving are observed in the bifurcation diagram. As the last step, a fractional-order controller is designed to remove chaotic dynamics. Time plots are simulated to show the effectiveness of the controller.

Bifurcation, Chaos and its Control in A Fractional Order Power System Model with Uncertainties

Asian Journal of Control

The paper investigates the complex nonlinear behavior of a fractional order four dimension power ... more The paper investigates the complex nonlinear behavior of a fractional order four dimension power system (FOFDPS). The discrete mathematical model of the FOFDPS is derived and presented. The equilibrium points along with the Eigen values of commensurate and incommensurate FOFDPS are presented. The existence of chaotic oscillations are supported by a positive Lyapunov exponent. Bifurcation plots are derived for both parameters and fractional orders to show the impact of the same on the dynamic behavior of FOFDPS. Having shown the existence of such complex behaviors in the FOFDPS, we present an adaptive fractional order sliding mode control (FOASMC) to suppress the chaotic oscillations. Numerical results are presented to support the theoretical results.

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No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties

Complexity

Discussing the dynamical properties of various power system models is of significant importance i... more Discussing the dynamical properties of various power system models is of significant importance in order to understand its complete behavior. Even though there are many literatures discussing about the chaotic behavior shown by phase converter circuits, none of them have reported the hazardous phenomenon of multistability. In this paper, we derive the fractional-order model of a phase converter circuit and investigate its dynamics. Bifurcation of the system with the parameters and fractional order are investigated. A forward and backward continuation scheme is adopted to display various coexisting attractors; the property of multistability is also discussed. Using forward and backward continuation, various coexisting attractors and the property of multistability are discussed. Two different sliding mode controllers for controlling chaotic oscillations with model disturbances and parameter uncertainties are derived, and the effectiveness of the controllers is discussed with numerical...

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$Research paper thumbnail of A fractional-order ship power system: chaos and its dynamical properties$

A fractional-order ship power system: chaos and its dynamical properties

International Journal of Nonlinear Sciences and Numerical Simulation, 2021

Bifurcation, Chaos and its Control in A Fractional Order Power System Model with Uncertainties

Asian Journal of Control

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No Chattering and Adaptive Sliding Mode Control of a Fractional-Order Phase Converter with Disturbances and Parameter Uncertainties

Complexity

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Goitom Tadesse

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