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Paper Information

Journal:   MODARES CIVIL ENGINEERING JOURNAL   APRIL 2017 , Volume 17 , Number 1 ; Page(s) 179 To 190.
 
Paper: 

DESIGN OF OPTIMAL CONTROLLER OF STRUCTURES: DIFFERENTIAL EVOLUTION ALGORITHM

 
 
Author(s):  KATEBI J.*, SHOAEI PARCHIN M.
 
* STRUCTURAL ENG. DEPT., FACULTY OF CIVIL ENG., UNIVERSITY OF TABRIZ
 
Abstract: 

One of the most important goals of optimal control of structures is achieving the desired reduction in responses using minimal control forces. Regarding many researches conducted in the field of active control, several control algorithms have been presented over the past few decades. Most of these researches calculate the required control forces by optimizing a second-order performance index. There exist simplifying assumptions in formulation of these classic algorithms and constraints in mathematical optimization techniques that have been used in optimizing the performance index. For example, because of unknown nature of earthquakes, the LQR classic controller cannot consider the external forces -as earthquake excitation- in calculation of control signal. This may make difficulties in finding the optimal solution for optimization problem. Metaheuristic optimization methods, such as differential evolution, are modern algorithms and because of their special capabilities in finding global optima are powerful tools that can be used in solving complex problems. Despite of many advantages, these methods has not been used extensively for solving civil engineering problems, especially in the field of active control of structures. In this paper active control of structures is considered as an optimization problem and a controller is proposed. The controller uses the differential evolution metaheuristic algorithm for finding gain matrix elements of active control problem. The gain matrix elements are globally searched by differential evolution algorithm to minimize the LQR performance index. The proposed method is repetitive and does not need to solve the Riccati differential equation. Therefore, it is possible to consider the effect of external excitation in finding the gain matrix and calculation of control signal. The controller is applied on sample 2DOF and 10DOF structures. Responses of these structures under several excitations from the historical earthquake records are obtained by MATLAB programming. In addition to the performance index, the maximum control force, maximum displacement and 9 benchmark indexes -previously measured in controlled structures- are calculated in this study. These indexes represent the reduction of controlled maximum and average responses of structure in comparison with uncontrolled responses. In order to evaluate the effectiveness of the proposed controller, these 9 performance indexes are calculated for 2DOF and 10DOF examples against 7 historical earthquakes and are compared for proposed and LQR controller. The simulation results indicate that the proposed method is effective in keeping the controlled responses of structures in desired range. This is also efficient in reducing the vibrations of structures with lower need to control the amount of energy in comparison with LQR algorithm. Because of the great capabilities of DE algorithm in searching large spaces and due to the iterative nature of controller, it considers the effects of external forces in control process. Numerical simulation shows that performance of the presented control algorithm is better than the LQR controller in finding the optimal displacements and control forces. Therefore, metaheuristic algorithms such as differential evolution can be used in active control of structures to achieve more efficient results in comparison with classic controllers.

 
Keyword(s): ACTIVE CONTROL, METAHEURISTIC, DIFFERENTIAL EVOLUTION, OPTIMIZATION
 
 
References: 
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Click to Cite.
APA: Copy

KATEBI, J., & SHOAEI PARCHIN, M. (2017). DESIGN OF OPTIMAL CONTROLLER OF STRUCTURES: DIFFERENTIAL EVOLUTION ALGORITHM. MODARES CIVIL ENGINEERING JOURNAL, 17(1 ), 179-190. https://www.sid.ir/en/journal/ViewPaper.aspx?id=570288



Vancouver: Copy

KATEBI J., SHOAEI PARCHIN M.. DESIGN OF OPTIMAL CONTROLLER OF STRUCTURES: DIFFERENTIAL EVOLUTION ALGORITHM. MODARES CIVIL ENGINEERING JOURNAL. 2017 [cited 2021May08];17(1 ):179-190. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=570288



IEEE: Copy

KATEBI, J., SHOAEI PARCHIN, M., 2017. DESIGN OF OPTIMAL CONTROLLER OF STRUCTURES: DIFFERENTIAL EVOLUTION ALGORITHM. MODARES CIVIL ENGINEERING JOURNAL, [online] 17(1 ), pp.179-190. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=570288.



 
 
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