The controlling and synchronizing chaotic systems(CSs)are crucial aspects of engineering,with broad applications across various applied sciences,such as secure communications,nonlinear circuit design,biomedical engine...The controlling and synchronizing chaotic systems(CSs)are crucial aspects of engineering,with broad applications across various applied sciences,such as secure communications,nonlinear circuit design,biomedical engineering,and image processing.This paper deals with the complex problem of achieving finite-time projective synchronization for uncertain CSs with incommensurate non-integer orders using adaptive fuzzy sliding-mode control(AFSMC).Specifically,we focus on practical projective synchronization,introducing two novel control approaches that effectively mitigate the chattering phenomenon,a common issue in conventional sliding mode control.To achieve this,two innovative non-singular sliding surfaces with finite-time properties are formulated.This type of sliding surface enhances projective synchronization accuracy,response speed,and robustness.The adaptive fuzzy logic systems,known for their universal approximation capability,are employed to estimate continuous functional uncertainties.We rigorously analyzed the stability of both approaches using Lyapunov’s direct method.Extensive simulations confirm the effectiveness and benefits of our proposed methods.These methods significantly reduce or eliminate chattering and achieve practical projective synchronization in a finite time.This makes them well-suited for real-world applications in complex CSs.展开更多
In this paper, a robust model-free controller for a grid-connected photovoltaic (PV) system is designed. The system consists of a PV generator connected to a three-phase grid by a DC/AC converter. The control objectiv...In this paper, a robust model-free controller for a grid-connected photovoltaic (PV) system is designed. The system consists of a PV generator connected to a three-phase grid by a DC/AC converter. The control objectives of the overall system are to extract maximum power from the PV source, to control reactive power exchange and to improve the quality of the current injected into the grid. The model-free control technique is based on the use of an ultra-local model instead of the dynamic model of the overall system. The local model is continuously updated based on a numerical differentiator using only the input–output behavior of the controlled system. The model-free controller consists of a classical feedback controller and a compensator for the effects of internal parameter changes and external disturbances. Simulation results illustrate the efficiency of the controller for grid-connected PV systems.展开更多
基金supported by the General Directorate of Scientific Research and Technological Development(DGRSDT)of the Ministry of Higher Education and Scientific Research of Algeria,under Grant No.A01L08UN180120230001.
文摘The controlling and synchronizing chaotic systems(CSs)are crucial aspects of engineering,with broad applications across various applied sciences,such as secure communications,nonlinear circuit design,biomedical engineering,and image processing.This paper deals with the complex problem of achieving finite-time projective synchronization for uncertain CSs with incommensurate non-integer orders using adaptive fuzzy sliding-mode control(AFSMC).Specifically,we focus on practical projective synchronization,introducing two novel control approaches that effectively mitigate the chattering phenomenon,a common issue in conventional sliding mode control.To achieve this,two innovative non-singular sliding surfaces with finite-time properties are formulated.This type of sliding surface enhances projective synchronization accuracy,response speed,and robustness.The adaptive fuzzy logic systems,known for their universal approximation capability,are employed to estimate continuous functional uncertainties.We rigorously analyzed the stability of both approaches using Lyapunov’s direct method.Extensive simulations confirm the effectiveness and benefits of our proposed methods.These methods significantly reduce or eliminate chattering and achieve practical projective synchronization in a finite time.This makes them well-suited for real-world applications in complex CSs.
文摘In this paper, a robust model-free controller for a grid-connected photovoltaic (PV) system is designed. The system consists of a PV generator connected to a three-phase grid by a DC/AC converter. The control objectives of the overall system are to extract maximum power from the PV source, to control reactive power exchange and to improve the quality of the current injected into the grid. The model-free control technique is based on the use of an ultra-local model instead of the dynamic model of the overall system. The local model is continuously updated based on a numerical differentiator using only the input–output behavior of the controlled system. The model-free controller consists of a classical feedback controller and a compensator for the effects of internal parameter changes and external disturbances. Simulation results illustrate the efficiency of the controller for grid-connected PV systems.
