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Article

Improved Decentralized Fractional PD Control of Structure Vibrations

1
College of Civil Engineering, Hefei University of Technology, Hefei 230009, China
2
School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
3
UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
4
Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal
5
The 29th research Institute of CETC, Chengdu 610036, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 326; https://doi.org/10.3390/math8030326
Submission received: 6 November 2019 / Revised: 23 January 2020 / Accepted: 22 February 2020 / Published: 2 March 2020
(This article belongs to the Special Issue Advances in Fractional Order Control and Applications)

Abstract

This paper presents a new strategy for the control of large displacements in structures under earthquake excitation. Firstly, an improved fractional order proportional-derivative (FOPD) controller is proposed. Secondly, a decentralized strategy is designed by adding a regulator and fault self-regulation to a standard decentralized controller. A new control architecture is obtained by combining the improved FOPD and the decentralized strategy. The parameters of the control system are tuned using an intelligent optimization algorithm. Simulation results demonstrate the performance and reliability of the proposed method.
Keywords: fractional order controller; determined control strategy; vibration of building structures fractional order controller; determined control strategy; vibration of building structures

Share and Cite

MDPI and ACS Style

Xu, K.; Chen, L.; Wang, M.; Lopes, A.M.; Tenreiro Machado, J.A.; Zhai, H. Improved Decentralized Fractional PD Control of Structure Vibrations. Mathematics 2020, 8, 326. https://doi.org/10.3390/math8030326

AMA Style

Xu K, Chen L, Wang M, Lopes AM, Tenreiro Machado JA, Zhai H. Improved Decentralized Fractional PD Control of Structure Vibrations. Mathematics. 2020; 8(3):326. https://doi.org/10.3390/math8030326

Chicago/Turabian Style

Xu, Kang, Liping Chen, Minwu Wang, António M. Lopes, J. A. Tenreiro Machado, and Houzhen Zhai. 2020. "Improved Decentralized Fractional PD Control of Structure Vibrations" Mathematics 8, no. 3: 326. https://doi.org/10.3390/math8030326

APA Style

Xu, K., Chen, L., Wang, M., Lopes, A. M., Tenreiro Machado, J. A., & Zhai, H. (2020). Improved Decentralized Fractional PD Control of Structure Vibrations. Mathematics, 8(3), 326. https://doi.org/10.3390/math8030326

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