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Fuzzy Henstock-Kurzweil Triple Integral
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作者 Kumwimba Seya Didier Kasongo Ntambwe Dany +1 位作者 Mayuke Katshongo Jean-Paul Lunda Ngoie Jean-Pierre 《Journal of Applied Mathematics and Physics》 2023年第7期1860-1870,共11页
In this article, we use the Hausdorf distance to treat triple Simpson’s rule of the Henstock triple integral of a fuzzy valued function as well as the error bound of the method. We also introduce δ-fine subdivisions... In this article, we use the Hausdorf distance to treat triple Simpson’s rule of the Henstock triple integral of a fuzzy valued function as well as the error bound of the method. We also introduce δ-fine subdivisions for a Henstock triple integral and numerical example is presented in order to show the application and the consequence of the method. 展开更多
关键词 fuzzy-Valued Function Hausdorff Distance Triple fuzzy integral Triple Simpson’s Rule δ-Fine Henstock integral
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Variable speed wind turbine for maximum power capture using adaptive fuzzy integral sliding mode control 被引量:8
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作者 Saravanakumar RAJENDRAN Debashisha JENA 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2014年第2期114-125,共12页
This paper presents a nonlinear control approach to variable speed wind turbine(VSWT)with a wind speed estimator.The dynamics of the wind turbine(WT)is derived from single mass model.In this work,a modified Newton Rap... This paper presents a nonlinear control approach to variable speed wind turbine(VSWT)with a wind speed estimator.The dynamics of the wind turbine(WT)is derived from single mass model.In this work,a modified Newton Raphson estimator has been considered for exact estimation of effective wind speed.The main objective of this work is to extract maximum energy from the wind at below rated wind speed while reducing drive train oscillation.In order to achieve the above objectives,VSWT should operate close to the optimal power coefficient.The generator torque is considered as the control input to achieve maximum energy capture.From the literature,it is clear that existing linear and nonlinear control techniques suffer from poor tracking of WT dynamics,increased power loss and complex control law.In addition,they are not robust with respect to input disturbances.In order to overcome the above drawbacks,adaptive fuzzy integral sliding mode control(AFISMC)is proposed for VSWT control.The proposed controller is tested with different types of disturbances and compared with other nonlinear controllers such as sliding mode control and integral sliding mode control.The result shows the better performance of AFISMC and its robustness to input disturbances.In this paper,the discontinuity in integral sliding mode controller is smoothed by using hyperbolic tangent function,and the sliding gain is adapted using a fuzzy technique which makes the controller more robust. 展开更多
关键词 Variable speed wind turbine integral sliding mode controller(ISMC) Sliding mode control(SMC) Adaptive fuzzy integral sliding mode control(AFISMC)
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Solution and Analysis of the Fuzzy Volterra Integral Equations viaHomotopy Analysis Method
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作者 Ali.F.Jameel N.R.Anakira +1 位作者 A.K.Alomari Noraziah H.Man 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第6期875-899,共25页
Homotopy Analysis Method(HAM)is semi-analytic method to solve the linear and nonlinear mathematical models which can be used to obtain the approximate solution.The HAM includes an auxiliary parameter,which is an effic... Homotopy Analysis Method(HAM)is semi-analytic method to solve the linear and nonlinear mathematical models which can be used to obtain the approximate solution.The HAM includes an auxiliary parameter,which is an efficient way to examine and analyze the accuracy of linear and nonlinear problems.The main aim of this work is to explore the approximate solutions of fuzzy Volterra integral equations(both linear and nonlinear)with a separable kernel via HAM.This method provides a reliable way to ensure the convergence of the approximation series.A new general form of HAM is presented and analyzed in the fuzzy domain.A qualitative convergence analysis based on the graphical method of a fuzzy HAM is discussed.The solutions sought by the proposed method show that the HAM is easy to implement and computationally quite attractive.Some solutions of fuzzy second kind Volterra integral equations are solved as numerical examples to show the potential of the method.The results also show that HAM provides an easy way to control and modify the convergence area in order to obtain accurate solutions. 展开更多
关键词 Homotopy analysis method convergence control parameter fuzzy Volterra integral equations
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Interval Type-2 Fuzzy Hierarchical Adaptive Cruise Following-Control for Intelligent Vehicles 被引量:2
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作者 Hong Mo Yinghui Meng +1 位作者 Fei-Yue Wang Dongrui Wu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第9期1658-1672,共15页
Intelligent vehicles can effectively improve traffic congestion and road traffic safety.Adaptive cruise followingcontrol(ACFC)is a vital part of intelligent vehicles.In this paper,a new hierarchical vehicle-following ... Intelligent vehicles can effectively improve traffic congestion and road traffic safety.Adaptive cruise followingcontrol(ACFC)is a vital part of intelligent vehicles.In this paper,a new hierarchical vehicle-following control strategy is presented by synthesizing the variable time headway model,type-2 fuzzy control,feedforward+fuzzy proportion integration(PI)feedback(F+FPIF)control,and inverse longitudinal dynamics model of vehicles.Firstly,a traditional variable time headway model is improved considering the acceleration of the lead car.Secondly,an interval type-2 fuzzy logic controller(IT2 FLC)is designed for the upper structure of the ACFC system to simulate the driver's operating habits.To reduce the nonlinear influence and improve the tracking accuracy for the desired acceleration,the control strategy of F+FPIF is given for the lower control structure.Thirdly,the lower control method proposed in this paper is compared with the fuzzy PI control and the traditional method(no lower controller for tracking desired acceleration)separately.Meanwhile,the proportion integration differentiation(PID),linear quadratic regulator(LQR),subsection function control(SFC)and type-1 fuzzy logic control(T1 FLC)are respectively compared with the IT2 FLC in control performance under different scenes.Finally,the simulation results show the effectiveness of IT2 FLC for the upper structure and F+FPIF control for the lower structure. 展开更多
关键词 Adaptive cruise following-control(ACFC) feedforward+fuzzy proportion integration(PI)feedback(F+FPIF) type-2 fuzzy control variable time headway
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Quasi-Z Source Inverter Control of PV Grid-Connected Based on Fuzzy PCI
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作者 Tao Hou Chen-Yang Zhang Hong-Xia Niu 《Journal of Electronic Science and Technology》 CAS CSCD 2021年第3期274-286,共13页
The photovoltaic grid-connected inverter is an important interface between the photovoltaic power generation system and power grid.Its high-quality operation is directly related to the output power quality of the powe... The photovoltaic grid-connected inverter is an important interface between the photovoltaic power generation system and power grid.Its high-quality operation is directly related to the output power quality of the power grid.In order to further optimize the control effect of the quasi-Z source grid-connected photovoltaic inverter,a fuzzy proportional complex integral control(PCI)method is proposed for the current internal loop control.This method can eliminate the steady-state error,and has the characteristic of zero steady-state error adjustment for the AC disturbance signal of a specific frequency.The inductance-capacitance-inductance(LCL)filter is adopted in the grid-connected circuit,and the feedback capacitive current is taken as the control variable of the inner loop to form the active damping control method,which can not only effectively suppress the resonance of the LCL circuit,but also significantly inhibit the high-order harmonics in the grid-connected current.Finally,a system simulation model is built in MATLAB/Simulink to verify the superiority and effectiveness of the proposed method. 展开更多
关键词 Frequency of harmonic distortion fuzzy proportional complex integral inductance-capacitance-inductance(LCL)filtering circuit photovoltaic grid-connection quasi-Z source inverter
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A Novel Asymmetric Three-Phase Cascaded 21 Level Inverter Fed Induction Motor Using Multicarrier PWM with PI and Fuzzy Controller
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作者 A. Abdul Namith T. S. Sivakumaran 《Circuits and Systems》 2016年第11期3922-3950,共29页
Multilevel inverters are gaining popularity in high power applications. This paper proposes a new ladder type structure of cascaded three-phase multilevel inverter with reduced number of power semiconductor devices wh... Multilevel inverters are gaining popularity in high power applications. This paper proposes a new ladder type structure of cascaded three-phase multilevel inverter with reduced number of power semiconductor devices which is used to drive the induction motor. The ultimate aim of the paper is to produce multiple output levels with minimum number of semiconductor devices. This paper uses only 11 switches along with 3 diodes and 4 asymmetrical sources to produce an output voltage of 21 levels. The modulation technique plays a major role in commutation of the switches. Here we implement the multicarrier level shifting pulse width modulation technique to produce the commutation signals for the inverter. The proposed multilevel inverter is used to drive the three-phase induction motor. The mathematical modeling of three-phase induction motor is done using Simulink. Furthermore the PI and fuzzy logic controllers are also used to produce the reference waveform of the level shifting technique which in turn produces the commutation signals of the proposed multilevel converter. The controllers are used to control the speed of the induction motor. The effectiveness of the proposed system is proved with the help of simulation. The simulation is performed in MATLAB/Simulink. From the simulation results, it shows that the proposed multilevel inverter works properly to generate the multilevel output waveform with minimum number of semiconductor devices. The PI and fuzzy logic controller performances are evaluated using the results which indicate that with the help of controllers the harmonics has been reduced and the speed control of induction motor is achieved under different loading conditions. 展开更多
关键词 MULTILEVEL Multicarrier Level Shifting Pulse Width Modulation MC-LS-PWM Proportional integral PI and fuzzy Logic Controller
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Research of Spatial–Temporal Architecture Model and the Algorithm for Multisensor Information Fusion
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作者 LUO Da-yong ZHANG Yuan 《Frontiers of Electrical and Electronic Engineering in China》 CSCD 2006年第1期115-119,共5页
To receive habitus accurately and to obtain the reorganization and decision information of the object fully,spatial and temporal fusion must be taken into account.In this paper,a spatial–temporal two-layer architectu... To receive habitus accurately and to obtain the reorganization and decision information of the object fully,spatial and temporal fusion must be taken into account.In this paper,a spatial–temporal two-layer architecture model is presented.In this architecture,the data monitored by different sensors at the same time are fused first in space,and then in time order.Based on this model,we give an algorithm based on the theory of D–S evidence and fuzzy integral for sensor fusion.Simulation results indicate that this algorithm can improve the efficiency of object identification and the reliability of system.The simulation of the algorithm in multisensor object identification is also presented. 展开更多
关键词 object identification evidence theory fuzzy integral information fusion
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