Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures

A developed comparative analysis of metaheuristic optimization algorithms has been used for optimal active control of structures. The linear quadratic regulator (LQR) has ignored the external excitation in solving the Riccati equation with no sufficient optimal results. To enhance the efficiency of...

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Veröffentlicht in:	Engineering with computers Jg. 36; H. 4; S. 1539 - 1558
Hauptverfasser:	Katebi, Javad, Shoaei-parchin, Mona, Shariati, Mahdi, Trung, Nguyen Thoi, Khorami, Majid
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	London Springer London 01.10.2020 Springer Nature B.V
Schlagworte:	Active control CAE) and Design Calculus of Variations and Optimal Control; Optimization Classical Mechanics Comparative analysis Computer Science Computer simulation Computer-Aided Engineering (CAD Control Evolutionary algorithms Evolutionary computation Excitation Heuristic methods Linear quadratic regulator Math. Applications in Chemistry Mathematical and Computational Engineering Optimization Optimization algorithms Original Article Riccati equation Systems Theory Wavelet analysis Discrete wavelet transform (DWT) Metaheuristic optimization algorithm Active control Linear quadratic regulator (LQR)
ISSN:	0177-0667, 1435-5663
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Abstract	A developed comparative analysis of metaheuristic optimization algorithms has been used for optimal active control of structures. The linear quadratic regulator (LQR) has ignored the external excitation in solving the Riccati equation with no sufficient optimal results. To enhance the efficiency of LQR and overcome the non-optimality problem, six intelligent optimization methods including BAT, BEE, differential evolution, firefly, harmony search and imperialist competitive algorithm have been discretely added to wavelet-based LQR to seek the attained optimum feedback gains. The proposed approach has not required the solution of Riccati equation enabling the excitation effect in controlling process. Employing this advantage by each of six mentioned algorithms to three-story and eight-story structures under different earthquakes led to define (1) the best solution, (2) convergence rate and (3) computational effort of all methods. The purpose of this research is to study the aforementioned methods besides the superiority of ICA in finding the optimal responses for active control problem. Numerical simulations have confirmed that the proposed controller is enabling to significantly reduce the structural responses using less control energy compared to LQR.
AbstractList	A developed comparative analysis of metaheuristic optimization algorithms has been used for optimal active control of structures. The linear quadratic regulator (LQR) has ignored the external excitation in solving the Riccati equation with no sufficient optimal results. To enhance the efficiency of LQR and overcome the non-optimality problem, six intelligent optimization methods including BAT, BEE, differential evolution, firefly, harmony search and imperialist competitive algorithm have been discretely added to wavelet-based LQR to seek the attained optimum feedback gains. The proposed approach has not required the solution of Riccati equation enabling the excitation effect in controlling process. Employing this advantage by each of six mentioned algorithms to three-story and eight-story structures under different earthquakes led to define (1) the best solution, (2) convergence rate and (3) computational effort of all methods. The purpose of this research is to study the aforementioned methods besides the superiority of ICA in finding the optimal responses for active control problem. Numerical simulations have confirmed that the proposed controller is enabling to significantly reduce the structural responses using less control energy compared to LQR.
Author	Katebi, Javad Shoaei-parchin, Mona Trung, Nguyen Thoi Khorami, Majid Shariati, Mahdi
Author_xml	– sequence: 1 givenname: Javad surname: Katebi fullname: Katebi, Javad email: jkatebi@tabrizu.ac.ir organization: Faculty of Civil Engineering, University of Tabriz – sequence: 2 givenname: Mona surname: Shoaei-parchin fullname: Shoaei-parchin, Mona organization: Faculty of Civil Engineering, University of Tabriz – sequence: 3 givenname: Mahdi surname: Shariati fullname: Shariati, Mahdi organization: Institute of Research and Development, Duy Tan University – sequence: 4 givenname: Nguyen Thoi surname: Trung fullname: Trung, Nguyen Thoi organization: Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Faculty of Civil Engineering, Ton Duc Thang University – sequence: 5 givenname: Majid surname: Khorami fullname: Khorami, Majid organization: Facultad de Arquitectura y Urbanismo, Universidad UTE
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Keywords	Discrete wavelet transform (DWT) Metaheuristic optimization algorithm Active control Linear quadratic regulator (LQR)
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SubjectTerms	Active control CAE) and Design Calculus of Variations and Optimal Control; Optimization Classical Mechanics Comparative analysis Computer Science Computer simulation Computer-Aided Engineering (CAD Control Evolutionary algorithms Evolutionary computation Excitation Heuristic methods Linear quadratic regulator Math. Applications in Chemistry Mathematical and Computational Engineering Optimization Optimization algorithms Original Article Riccati equation Systems Theory Wavelet analysis
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