Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures
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ORIGINAL ARTICLE
Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures Javad Katebi1 · Mona Shoaei‑parchin1 · Mahdi Shariati2 · Nguyen Thoi Trung3,4 · Majid Khorami5 Received: 14 January 2019 / Accepted: 16 May 2019 © Springer-Verlag London Ltd., part of Springer Nature 2019
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. Keywords Active control · Metaheuristic optimization algorithm · Linear quadratic regulator (LQR) · Discrete wavelet transform (DWT)
1 Introduction * Javad Katebi [email protected] Mona Shoaei‑parchin [email protected] Mahdi Shariati [email protected] Nguyen Thoi Trung [email protected] Majid Khorami [email protected] 1
Faculty of Civil Engineering, University of Tabriz, Tabriz 51666‑16471, Iran
2
Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
3
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
4
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
5
Facultad de Arquitectura y Urbanismo, Universidad UTE, Calle Rumipamba s/n y Bourgeois, Quito, Ecuador
Applications of soft computing methods in different field of civil engineering have been used in many researches recently [1–14]. The idea of using active control strategy as one of these methods for civil structures has been introduced in early of 70s. The active control system can change the structural dynamic properties by adding an auxiliary input to the structure. Smart structure is the name that refers to this system [15–19]. One of the most important subjects in active control is to find out the optimum control force, so that using the least control energy, the
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