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دسترسی آزاد مقاله
1 - Fractional Nonsingular Terminal Sliding Mode Controller Design for the Special Class of Nonlinear Fractional-order Chaotic Systems
Farideh Shahbazi Reza Ghasemi Mahmood MahmmodiA new class of fractional terminal sliding mode controller (FTSMC) is proposed for a class of nonlinear fractional order chaotic systems in this paper. The stability of the closed loop system is verified in the terms of the Lyapunov theorem. The proposed fractional cont چکیده کاملA new class of fractional terminal sliding mode controller (FTSMC) is proposed for a class of nonlinear fractional order chaotic systems in this paper. The stability of the closed loop system is verified in the terms of the Lyapunov theorem. The proposed fractional controller design procedure leads to the convergence of the output tracking error toward the zero value in finite time, the robustness against external disturbance and uncertainty, and the reduction of chattering phenomenon. Two controller types of terminal sliding mode are introduced here comprising 1) a typical controller of terminal sliding mode and 2) a nonsingular controller of terminal sliding mode. Also, new theorems are provided here to facilitate designing procedure of robust controller. To assess the introduced approach, we applied the suggested controller to fractional Lorenz chaotic system. The simulation results, computed by MATLAB software, are able to explain the efficiency of the fractional terminal sliding mode controller پرونده مقاله -
دسترسی آزاد مقاله
2 - A Hybrid Control Method for Stable Operation of Active Power Filters in Three-Phase Four-Wire Networks
S. Sajjad Seyedalipour Habib Allah Aalami Amin BarzegarThe main goal of this study is the use of Lyapunov’s stability theory to a three-phase four-wire shunt active power filter (SAPF), since this method has been applied effectively to other areas of converter. The dynamic model of the SAPF is first established, after چکیده کاملThe main goal of this study is the use of Lyapunov’s stability theory to a three-phase four-wire shunt active power filter (SAPF), since this method has been applied effectively to other areas of converter. The dynamic model of the SAPF is first established, after that, a combination of fuzzy tracking control and Lyapunov function is suggested in order to impose a desired transient waveform on the considered three-phase four-wire distribution grid, providing robustness and insensitivity to parameter changes. Furthermore, the suggested control technique guarantees appropriate tracking of the reference current components and simplifies the global control design. The feasibility of the suggested control method is validated using comprehensive simulation studies on a four-wire SAPF in order to compensate for nonlinear and unbalanced grid-connected loads in an electrical power distribution network. پرونده مقاله -
دسترسی آزاد مقاله
3 - Construction of strict Lyapunov function for nonlinear parameterised perturbed systems
B. Ghanmi M. A. HammamiIn this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using Lyapunov techniques. The system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly چکیده کاملIn this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using Lyapunov techniques. The system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. Some examples in dimensional two are given to illustrate theapplicability of the main results. پرونده مقاله -
دسترسی آزاد مقاله
4 - Stability Analysis of Fractional Order Mathematical Model of Leukemia
Lahoucine BoujallalIn this paper, we propose a fractional order model of leukemia in terms of a system of ordinary differential equations with the Caputo derivative that provides convenience for initial conditions of the differential equations. Firstly, we prove the global existence, posi چکیده کاملIn this paper, we propose a fractional order model of leukemia in terms of a system of ordinary differential equations with the Caputo derivative that provides convenience for initial conditions of the differential equations. Firstly, we prove the global existence, positivity, and boundedness of solutions. The local stability properties of the equilibrium are obtained by using fractional Routh-Hurwitz stability criterion. Furthermore, a suitable Lyapunov functions are constructed to prove the global stability of equilibrium. Finally, numerical simulation of the model are presented to illustrate our theoretical results for different choices of fractional order of derivative α. Then, we can observe the impact of fractional derivative α on the evolution of the model states. پرونده مقاله -
دسترسی آزاد مقاله
5 - DYNAMIC COMPLEXITY OF A THREE SPECIES COMPETITIVE FOOD CHAIN MODEL WITH INTER AND INTRA SPECIFIC COMPETITIONS
N. Ali Santabrata ChakravartyThe present article deals with the inter specific competition and intra-specific competition among predator populations of a prey-dependent three component food chain model consisting of two competitive predator sharing one prey species as their food. The behaviour of t چکیده کاملThe present article deals with the inter specific competition and intra-specific competition among predator populations of a prey-dependent three component food chain model consisting of two competitive predator sharing one prey species as their food. The behaviour of the system near the biologically feasible equilibria is thoroughly analyzed. Boundedness and dissipativeness of the system are established. Stability analysis including local and global stability of the equilibria has been carried out in order to examine the dynamic behaviour of the system. The present system experiences Hopf-Andronov bifurcation for suitable choice of parameter values. As a result, intra-specific competition among predator populations can be beneficial for the survival of predator. The ecological implications of both the analytical and numerical findings are discussed at length towards the end. پرونده مقاله
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