LMI based criterion for reinforced concrete frame structures

Tim Chen , Dar Kau , Y. Tai , C.Y.J. Chen

Abstract

Due to the influence of nonlinearity and time-variation, it is difficult to establish an accurate model of concrete frame structures that adopt active controllers. Fuzzy theory is a relatively appropriate method but susceptible to human subjective experience to decrease the performance. To guarantee the stability of multi-time delays complex system with multi-interconnections, a delay-dependent criterion of evolved design is proposed in this paper. Based on this criterion, the sector nonlinearity which converts the nonlinear model to multiple rule base of the linear model and a new sufficient condition to guarantee the asymptotic stability via Lyapunov function is implemented in terms of linear matrix inequalities (LMI). A numerical simulation for a three-layer reinforced concrete frame structure subjected to earthquakes is demonstrated that the proposed criterion is feasible for practical applications.

Key Words

RC frame structure; fuzzy systems; multiple time delays; delay-dependent criterion

Address

Tim Chen: AI LAB, Faculty of Information Technology, Ton Duc Thang University, Ho Chi Minh City, Vietnam Dar Kau: Department Electrical & Electronic Engineering, University of Bath, Bath, BA2 7AY, U.K. Y. Tai: Mechanical Engineering, California Institute of Technology, Pasadena, CA 91125, USA C.Y.J. Chen: Department Electrical & Electronic Engineering, University of Bath, Bath, BA2 7AY, U.K; Department of Artificial Intelligence, University of Maryland, Maryland 20742, USA

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