Bidirectional active control of structures with type-2 fuzzy PD and PID

ABSTRACT

Proportional-derivative and proportional-integral-derivative (PD/PID) controllers are popular algorithms in structure vibration control. In order to maintain minimum regulation error, the PD/PID control require big proportional and derivative gains. The control performances are not satisfied because of the big uncertainties in the buildings. In this paper, type-2 fuzzy system is applied to compensate the unknown uncertainties, and is combined with the PD/PID control. We prove the stability of these fuzzy PD and PID controllers. The sufficient conditions can be used for choosing the gains of PD/PID. The theory results are verified by a two-storey building prototype. The experimental results validate our analysis.

KEYWORDS:

• Active control of structures
• stability
• PID control
• type-2 fuzzy system

Acknowledgments

The authors would like to thank Mr Jesús Meza and Mr Roberto Lagunes for their assistance to complete the experiments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Satyam Paul

Satyam Paul received his B.S. degree from National Institute of Technology, Silchar, in 2005 and his M.S. degree in Vellore Institute of Technology, Mechatronics, in 2009. Now, he is studying at the Departamento de Control Automatico at CINVESTAV-IPN in his Ph.D. degree. His research interests include structural modeling and control.

Wen Yu

Wen Yu received the B.S. degree from Tsinghua University, Beijing, China in 1990 and the M.S. and Ph.D. degrees, both in Electrical Engineering, from Northeastern University, Shenyang, China, in 1992 and 1995, respectively. Since 1996, he has been with the National Polytechnic Institute (CINVESTAV-IPN), Mexico City, Mexico, where he is currently a professor and department chair of the Automatic Control Department. From 2002 to 2003, he held research positions with the Mexican Institute of Petroleum. He was a Senior Visiting Research Fellow with Queen's University Belfast, Belfast, U.K., from 2006 to 2007, and a Visiting Associate Professor with the University of California, Santa Cruz, from 2009 to 2010. He gas published more than 100 research papers in reputed journals. His Google Scholar h-index is 33, the citation number is 4100. He serves as associate editors of IEEE Transactions on Cybernetics, Neurocomputing, and Journal of Intelligent and Fuzzy Systems. He is a member of the Mexican Academy of Sciences.

Xiaoou Li

Xiaoou Li received the B.S. and the Ph.D. degree in applied mathematics and electrical engineering from Northeastern University, China, in 1991 and 1995. From 1995 to 1997, she was a lecturer of electrical engineering at the Department of Automatic Control of Northeastern University, China. From 1998 to 1999, she was an associate professor of computer science at Centro de Instrumentos-UNAM. Since 2000, she has been a professor of computer science at Sección de Computación, Departamento de Ingeniería Eléctrica, CINVESTAV-IPN, México.