The Experts below are selected from a list of 169059 Experts worldwide ranked by ideXlab platform
Sofronova E.a. - One of the best experts on this subject based on the ideXlab platform.
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Synthesis of multicriterial intelligent control system using network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Diveev A.i., Kazaryan D.e., Sofronova E.a.Abstract:In this work we consider an application of the network Operator Method for the intelligent control system synthesis. This system should guarantee object to meet several goals. If we weaken precision conditions, control system becomes optimal with respect to the general criterion. To solve the problem of synthesis the network Operator Method was used. This Method allows searching for two multidimensional functions. The first function is responsible for the goal to be achieved, the second function is responsible for the goal selection area. We used the developed Method to create the intelligent control system for flying robot that follows the three-dimensional path. © 2013 IEEE
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Synthesis of robust control system by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Diveev A.i., Khamadiyarov D.b., Sofronova E.a.Abstract:Problem of synthesis for robust control system is considered. The synthesized system should be indifferent to uncertainty of mathematical model. To solve the problem a numerical Method of network Operator has used. The uncertainty of model is replaced by a set of models with certain values. The quality functional is replaced by a sum of values of functional for each value of uncertain parameters. An example of synthesis of robust control system for space vehicle landing on the Moon is given. © 2015 IEEE
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Identification control synthesis by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Dang T.p., Diveev A.i., Kazaryan D.e., Sofronova E.a.Abstract:An identification control is a control of an object which mathematical model is unknown. For such objects initially the problem of identification is solved, and then for the resulting object model the problem of control synthesis is solved. As a result of control synthesis we obtain a multi-dimensional function that describes the dependence of control on the object state. After the implementation of this function in the control unit of the real object, it achieves the goal of control with optimal value of the quality criteria. To solve the identification and synthesis problems we use the Method of network Operator, which with the help of evolutionary algorithms finds the structure and parameters of the functions describing the model and functional dependence of control from the object state. In this paper, an example of using a network Operator to solve the problem of identification control synthesis for a multilink robot is given. © 2015 IEEE
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A problem of identification control synthesis for mobile robot by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Dang T.p., Diveev A.i., Sofronova E.a.Abstract:A problem of identification control synthesis is considered. This problem arises when it is necessary to perform a control system synthesis for an object which mathematical model is unknown. To solve the identification control synthesis problem, we use a numerical Method of the network Operator. The Method allows finding both the structure and the parameters of mathematical expressions in the form of integer matrices using evolutionary algorithms for mathematical model identification and for control synthesis of identified model. Experimental data for identification were obtained from mobile robot. Then an automated control synthesis was performed for identified model. To prove the computational results the synthesized control was implemented in real mobile robot. The results of application of network Operator Method to identification control synthesis for mobile robot are presented. © 2016 IEEE
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The network Operator Method for identifications of chemical reactions
IFAC Secretariat, 2020Co-Authors: Diveev A.i., Gubaidullin I.m., Sofronova E.a.Abstract:A problem of identification of mathematical model of chemical reaction is considered. Mathematical model in the form of ODE is obtained from the experimental data of concentrations changes during the reaction process. To solve the identification problem we use a numerical network Operator Method that allows finding structure and parameters of mathematical expression presented as an integer matrix. The network Operator Method uses evolutionary search algorithms. A numerical example of identification for the chemical generation singlet oxygen reaction is given. © IFAC
E.a. Sofronova - One of the best experts on this subject based on the ideXlab platform.
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a problem of identification control synthesis for mobile robot by the network Operator Method
Conference on Industrial Electronics and Applications, 2016Co-Authors: T P Dang, Askhat I Diveev, E.a. SofronovaAbstract:A problem of identification control synthesis is considered. This problem arises when it is necessary to perform a control system synthesis for an object which mathematical model is unknown. To solve the identification control synthesis problem, we use a numerical Method of the network Operator. The Method allows finding both the structure and the parameters of mathematical expressions in the form of integer matrices using evolutionary algorithms for mathematical model identification and for control synthesis of identified model. Experimental data for identification were obtained from mobile robot. Then an automated control synthesis was performed for identified model. To prove the computational results the synthesized control was implemented in real mobile robot. The results of application of network Operator Method to identification control synthesis for mobile robot are presented.
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synthesis of intelligent control of traffic flows in urban roads based on the logical network Operator Method
European Control Conference, 2013Co-Authors: Askhat I Diveev, E.a. SofronovaAbstract:A problem of optimal control of traffic flows in the urban network is considered. A derivation of the mathematical model of control by the traffic lights at intersections is given. The mathematical model of control object is obtained using the controlled networks theory. This model is a system of nonlinear finite-difference equations. To present a large scale road networks the model contains the connection matrices. The connection matrices describe connections between input and output roads in subnetworks. These matrices allow considering the influence of traffic flows in one subnetwork the ones in other subnetwork. The traffic flow control is done by the coordination of active phases of traffic lights. The optimal control problem is to minimize the difference between the total input flow and total output flow for all subnetworks. To solve the optimal control synthesis problem we use a logical network Operator Method. An example of model for the network of three subnetworks is given.
T. Rabczuk - One of the best experts on this subject based on the ideXlab platform.
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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal Operator Method.
arXiv: Numerical Analysis, 2021Co-Authors: Huilong Ren, Xiaoying Zhuang, Erkan Oterkus, Hehua Zhu, T. RabczukAbstract:The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional Methods. In this paper, we apply the variational principle/weighted residual Method based on nonlocal Operator Method for the derivation of nonlocal forms for elasticity, thin plate, gradient elasticity, electro-magneto-elasticity and phase field fracture Method. The nonlocal governing equations are expressed as integral form on support and dual-support. The first example shows that the nonlocal elasticity has the same form as dual-horizon non-ordinary state-based peridynamics. The derivation is simple and general and it can convert efficiently many local physical models into their corresponding nonlocal forms. In addition, a criterion based on the instability of the nonlocal gradient is proposed for the fracture modelling in linear elasticity. Several numerical examples are presented to validate nonlocal elasticity and the nonlocal thin plate .
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nonlocal Operator Method with numerical integration for gradient solid
Computers & Structures, 2020Co-Authors: Xiaoying Zhuang, T. RabczukAbstract:Abstract The nonlocal Operator Method (NOM) is initially proposed as a particle-based Method, which has difficulties in imposing accurately the boundary conditions of various orders. In this paper, we converted the particle-based NOM into a scheme with approximation property. The new scheme describes partial derivatives of various orders at a point by the nodes in the support and takes advantage of the background mesh for numerical integration. The boundary conditions are enforced via the modified variational principle. The particle-based NOM can be viewed as a special case of NOM with approximation property when nodal integration is used. The scheme based on numerical integration greatly improves the stability of the Method. As a consequence, the requirement of the Operator energy functional in particle-based NOM is avoided. We demonstrate the capabilities of the proposed Method by solving gradient elasticity problems and comparing the numerical results with exact solutions.
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a nonlocal Operator Method for solving partial differential equations
Computer Methods in Applied Mechanics and Engineering, 2020Co-Authors: Huilong Ren, Xiaoying Zhuang, T. RabczukAbstract:Abstract A nonlocal Operator Method is proposed which is generally applicable for solving partial differential equations (PDEs) of mechanical problems. The nonlocal Operator can be regarded as the integral form “equivalent” to the differential form in the sense of a nonlocal interaction model for solving the unknown field. The variation of a nonlocal Operator plays an equivalent role as the derivatives of the shape functions in the meshless Methods or those of the finite element Method, thus it circumvents many difficulties in the calculation of shape functions and their derivatives. The nonlocal Operator Method can consistently applied with common procedure leading to the weak forms, i.e. the variational principle and the weighted residual Method. Based on these, the residual and the tangent stiffness matrix can be obtained with ease. The nonlocal Operator Method is enhanced here also with an Operator energy functional to satisfy the linear consistency of the field. Higher order nonlocal Operators and higher order Operator energy functional are hereby generalized. A highlighted of the present Method is the functional derived based on the nonlocal Operator can convert the construction of residual and stiffness matrix into a series of matrix multiplications using the predefined nonlocal Operators. The nonlocal strong forms of different functionals can be obtained easily via the concept of support and dual-support, the two basic elements introduced in the paper. Several numerical examples of different types of PDEs are presented in the end to show the effectiveness of the present Method and also serve for validation.
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a nonlocal Operator Method for solving partial differential equations
arXiv: Computational Physics, 2018Co-Authors: Huilong Ren, Xiaoying Zhuang, T. RabczukAbstract:We propose a nonlocal Operator Method for solving partial differential equations (PDEs). The nonlocal Operator is derived from the Taylor series expansion of the unknown field, and can be regarded as the integral form "equivalent" to the differential form in the sense of nonlocal interaction. The variation of a nonlocal Operator is similar to the derivative of shape function in meshless and finite element Methods, thus circumvents difficulty in the calculation of shape function and its derivatives. {The nonlocal Operator Method is consistent with the variational principle and the weighted residual Method, based on which the residual and the tangent stiffness matrix can be obtained with ease.} The nonlocal Operator Method is equipped with an hourglass energy functional to satisfy the linear consistency of the field. Higher order nonlocal Operators and higher order hourglass energy functional are generalized. The functional based on the nonlocal Operator converts the construction of residual and stiffness matrix into a series of matrix multiplications on the nonlocal Operators. The nonlocal strong forms of different functionals can be obtained easily via support and dual-support, two basic concepts introduced in the paper. Several numerical examples are presented to validate the Method.
Diveev A.i. - One of the best experts on this subject based on the ideXlab platform.
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Synthesis of multicriterial intelligent control system using network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Diveev A.i., Kazaryan D.e., Sofronova E.a.Abstract:In this work we consider an application of the network Operator Method for the intelligent control system synthesis. This system should guarantee object to meet several goals. If we weaken precision conditions, control system becomes optimal with respect to the general criterion. To solve the problem of synthesis the network Operator Method was used. This Method allows searching for two multidimensional functions. The first function is responsible for the goal to be achieved, the second function is responsible for the goal selection area. We used the developed Method to create the intelligent control system for flying robot that follows the three-dimensional path. © 2013 IEEE
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Synthesis of robust control system by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Diveev A.i., Khamadiyarov D.b., Sofronova E.a.Abstract:Problem of synthesis for robust control system is considered. The synthesized system should be indifferent to uncertainty of mathematical model. To solve the problem a numerical Method of network Operator has used. The uncertainty of model is replaced by a set of models with certain values. The quality functional is replaced by a sum of values of functional for each value of uncertain parameters. An example of synthesis of robust control system for space vehicle landing on the Moon is given. © 2015 IEEE
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Identification control synthesis by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Dang T.p., Diveev A.i., Kazaryan D.e., Sofronova E.a.Abstract:An identification control is a control of an object which mathematical model is unknown. For such objects initially the problem of identification is solved, and then for the resulting object model the problem of control synthesis is solved. As a result of control synthesis we obtain a multi-dimensional function that describes the dependence of control on the object state. After the implementation of this function in the control unit of the real object, it achieves the goal of control with optimal value of the quality criteria. To solve the identification and synthesis problems we use the Method of network Operator, which with the help of evolutionary algorithms finds the structure and parameters of the functions describing the model and functional dependence of control from the object state. In this paper, an example of using a network Operator to solve the problem of identification control synthesis for a multilink robot is given. © 2015 IEEE
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A problem of identification control synthesis for mobile robot by the network Operator Method
'Institute of Electrical and Electronics Engineers (IEEE)', 2020Co-Authors: Dang T.p., Diveev A.i., Sofronova E.a.Abstract:A problem of identification control synthesis is considered. This problem arises when it is necessary to perform a control system synthesis for an object which mathematical model is unknown. To solve the identification control synthesis problem, we use a numerical Method of the network Operator. The Method allows finding both the structure and the parameters of mathematical expressions in the form of integer matrices using evolutionary algorithms for mathematical model identification and for control synthesis of identified model. Experimental data for identification were obtained from mobile robot. Then an automated control synthesis was performed for identified model. To prove the computational results the synthesized control was implemented in real mobile robot. The results of application of network Operator Method to identification control synthesis for mobile robot are presented. © 2016 IEEE
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The network Operator Method for identifications of chemical reactions
IFAC Secretariat, 2020Co-Authors: Diveev A.i., Gubaidullin I.m., Sofronova E.a.Abstract:A problem of identification of mathematical model of chemical reaction is considered. Mathematical model in the form of ODE is obtained from the experimental data of concentrations changes during the reaction process. To solve the identification problem we use a numerical network Operator Method that allows finding structure and parameters of mathematical expression presented as an integer matrix. The network Operator Method uses evolutionary search algorithms. A numerical example of identification for the chemical generation singlet oxygen reaction is given. © IFAC
Xiaoying Zhuang - One of the best experts on this subject based on the ideXlab platform.
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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal Operator Method.
arXiv: Numerical Analysis, 2021Co-Authors: Huilong Ren, Xiaoying Zhuang, Erkan Oterkus, Hehua Zhu, T. RabczukAbstract:The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional Methods. In this paper, we apply the variational principle/weighted residual Method based on nonlocal Operator Method for the derivation of nonlocal forms for elasticity, thin plate, gradient elasticity, electro-magneto-elasticity and phase field fracture Method. The nonlocal governing equations are expressed as integral form on support and dual-support. The first example shows that the nonlocal elasticity has the same form as dual-horizon non-ordinary state-based peridynamics. The derivation is simple and general and it can convert efficiently many local physical models into their corresponding nonlocal forms. In addition, a criterion based on the instability of the nonlocal gradient is proposed for the fracture modelling in linear elasticity. Several numerical examples are presented to validate nonlocal elasticity and the nonlocal thin plate .
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nonlocal Operator Method with numerical integration for gradient solid
Computers & Structures, 2020Co-Authors: Xiaoying Zhuang, T. RabczukAbstract:Abstract The nonlocal Operator Method (NOM) is initially proposed as a particle-based Method, which has difficulties in imposing accurately the boundary conditions of various orders. In this paper, we converted the particle-based NOM into a scheme with approximation property. The new scheme describes partial derivatives of various orders at a point by the nodes in the support and takes advantage of the background mesh for numerical integration. The boundary conditions are enforced via the modified variational principle. The particle-based NOM can be viewed as a special case of NOM with approximation property when nodal integration is used. The scheme based on numerical integration greatly improves the stability of the Method. As a consequence, the requirement of the Operator energy functional in particle-based NOM is avoided. We demonstrate the capabilities of the proposed Method by solving gradient elasticity problems and comparing the numerical results with exact solutions.
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a nonlocal Operator Method for solving partial differential equations
Computer Methods in Applied Mechanics and Engineering, 2020Co-Authors: Huilong Ren, Xiaoying Zhuang, T. RabczukAbstract:Abstract A nonlocal Operator Method is proposed which is generally applicable for solving partial differential equations (PDEs) of mechanical problems. The nonlocal Operator can be regarded as the integral form “equivalent” to the differential form in the sense of a nonlocal interaction model for solving the unknown field. The variation of a nonlocal Operator plays an equivalent role as the derivatives of the shape functions in the meshless Methods or those of the finite element Method, thus it circumvents many difficulties in the calculation of shape functions and their derivatives. The nonlocal Operator Method can consistently applied with common procedure leading to the weak forms, i.e. the variational principle and the weighted residual Method. Based on these, the residual and the tangent stiffness matrix can be obtained with ease. The nonlocal Operator Method is enhanced here also with an Operator energy functional to satisfy the linear consistency of the field. Higher order nonlocal Operators and higher order Operator energy functional are hereby generalized. A highlighted of the present Method is the functional derived based on the nonlocal Operator can convert the construction of residual and stiffness matrix into a series of matrix multiplications using the predefined nonlocal Operators. The nonlocal strong forms of different functionals can be obtained easily via the concept of support and dual-support, the two basic elements introduced in the paper. Several numerical examples of different types of PDEs are presented in the end to show the effectiveness of the present Method and also serve for validation.
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a nonlocal Operator Method for solving partial differential equations
arXiv: Computational Physics, 2018Co-Authors: Huilong Ren, Xiaoying Zhuang, T. RabczukAbstract:We propose a nonlocal Operator Method for solving partial differential equations (PDEs). The nonlocal Operator is derived from the Taylor series expansion of the unknown field, and can be regarded as the integral form "equivalent" to the differential form in the sense of nonlocal interaction. The variation of a nonlocal Operator is similar to the derivative of shape function in meshless and finite element Methods, thus circumvents difficulty in the calculation of shape function and its derivatives. {The nonlocal Operator Method is consistent with the variational principle and the weighted residual Method, based on which the residual and the tangent stiffness matrix can be obtained with ease.} The nonlocal Operator Method is equipped with an hourglass energy functional to satisfy the linear consistency of the field. Higher order nonlocal Operators and higher order hourglass energy functional are generalized. The functional based on the nonlocal Operator converts the construction of residual and stiffness matrix into a series of matrix multiplications on the nonlocal Operators. The nonlocal strong forms of different functionals can be obtained easily via support and dual-support, two basic concepts introduced in the paper. Several numerical examples are presented to validate the Method.