A Cumulative Multi-Niching Genetic Algorithm for Multimodal Function Optimization

Hall, Matthew

doi:10.14569/ijarai.2012.010902

Cited by 15 publications

(15 citation statements)

References 9 publications

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“…The authors of [5,6] show a wide range of GA method applications, including the possibility to solve various optimization problems, in particular for the synthesis of controllers. However, they did not consider the task of identifying an actual control object by using a fractional order TF.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Kopchak¹,

Marushchak²,

Zaleski³

2020

EEJET

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The modern industry is dominated by electric drives of the system frequency converter-induction motor, which employ integer-order controllers. Allowing the implementation and adjustment of fractional order controllers in the converter itself greatly expand their capabilities and, therefore, is relevant. This paper reports a procedure for the parametric synthesis of PI λ D μ-controllers of fractional order, providing for the use of the desired forms of fractional order, as well as their practical implementation in the system frequency converter-induction motor. In this case, the control object is described by a transfer function of the fractional or integer order, derived on the basis of experimental results. The study results demonstrate the possibility of constructing new, as well as modernizing existing, electromechanical systems involving the fractional-order PI λ D μ-controllers with an expanded range of dynamic properties that correspond to the desired forms of fractional order. The procedure for the parametric synthesis of a PI λ D μ-controller has been theoretically substantiated, which was confirmed by applying the simulation and during field experiments concerning the system frequency converter-induction motor. The reported procedure is universal because it makes it possible to synthesize the PI λ D μ-controller for standard forms of both the integer and fractional orders. It is clear that the range of the desired standard forms in the synthesis process can include all possible known forms, including those of fractional order. The result of this study allows us to argue that it is possible to apply the developed algorithm of actions for those engineering tasks that aim to build such systems for various industrial mechanisms. At the same time, no restrictions are imposed on the transfer function of the control object

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Kopchak¹,

Marushchak²,

Zaleski³

2020

EEJET

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“…The parallel approach can be considered as a kind of iterative method. The third type performs division of the population based on several techniques, amongst which the niching technique is the most common one (Das, Maity, Qu, & Suganthan, ; Hall, ; Mengshoel & Goldberg, ). Niching is a technique for finding and maintaining multiple favorable parts of the search space around many optima in parallel, by reducing individual drift effects resulting from selection and crossover operators in the standard GA.…”

Section: Introduction and Previous Workmentioning

confidence: 99%

Benefits of a multiple‐solution approach in land change models

Mustafà

Ebaid

Teller

2018

Transactions in GIS

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Land change (LC) models are dedicated to a better understanding of land use and land cover dynamics. A fundamental aspect of those models lies in the calibration of spatial parameters underlying such dynamics. Although there are many studies on the calibration of LC models, current efforts have a common goal of seeking to find a single global optimum solution, even though land change dynamics may be inherently heterogeneous throughout a given space. This article presents a calibration approach for finding multiple optimal solutions. A crowding niching genetic algorithm (CNGA) is incorporated into a cellular automata LC model. The model is applied to simulate urban expansion in Wallonia (Belgium) as a case study. Our findings demonstrate the ability of the model to locate multiple solutions simultaneously. In addition, the CNGA performs better than the standard genetic algorithm—besides, the CNGA helps to better understand the properties of land change dynamics within a given landscape.

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“…This forces researchers to improve new methods and tool including such intelligence methods of optimization as a genetic algorithm in solving the problems of the analysis and synthesis of such EMS. An increase in the number of publications on this subject [1][2][3][4][5][6] indicates a significant interest in such a problem. The genetic algorithm (GA) is designed to find the maximum of complex functions.…”

Section: Introduction and Problems Which Are Appearedmentioning

confidence: 99%

Genetic Algorithm Application for Synthesis and Analysis of Electromechanical Systems

Kopchak¹,

Kasha²

2018

Energy eng. control syst.

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One of modern possible problem solutions of analysis and synthesis in electromechanical systems is the recourse to a genetic algorithm as a method of artificial intelligence. The originality of the proposed approach lies in the usage of fractional order models to solve the above-mentioned problem. The quality function is proposed to be used in the developed algorithms for analysis and synthesis procedures of electromechanical systems. It is also proposed to get the desired outcome of results deviation from the set values by means of quality function control after each iteration. Application of genetic algorithm method with the usage of fractional order reference models is an effective means of electromechanical systems transition processes approximation by fractional models as well as the selection of parameters of fractional controllers during their synthesis.

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A Cumulative Multi-Niching Genetic Algorithm for Multimodal Function Optimization

Cited by 15 publications

References 9 publications

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Benefits of a multiple‐solution approach in land change models

Genetic Algorithm Application for Synthesis and Analysis of Electromechanical Systems

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