Fuzzy supervisory control of earthquake-excited cable-stayed bridges

A fuzzy supervisory control (FSC) technique is proposed for the seismic response control of cable-stayed bridges. The proposed technique is a hybrid control method, which adopts a hierarchical structure consisting of several sub-controllers and a fuzzy supervisor. The sub-controllers are independently designed in order to reduce the selected responses of a cable-stayed bridge and a fuzzy supervisor is introduced to modulate the pre-designed static gains into time-varying dynamic gains to improve seismic performance. In the design of the sub-controllers, shear forces and bending moments at the base of the towers, longitudinal displacements at the top of the towers, relative displacements between the deck and the tower, and tensions in the stay cables were selected as control variables. To demonstrate the effectiveness of the proposed strategy, example designs and numerical simulations were performed using a benchmark cable-stayed bridge subject to three historically recorded earthquakes. For comparison of the seismic performance, an optimally designed LQG system is also simulated for the benchmark bridge. The simulated results show that the FSC system can efficiently reduce the seismic responses of the cable-stayed bridge while maintaining lower control efforts.

[1]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[2]  B. Moore.  Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[3]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[4]  T. T. Soong,et al.  Structural Control: Basic Concepts and Applications , 1996 .

[5]  Hyun-Moo Koh,et al.  Independent modal space fuzzy control of earthquake-excited structures , 2004 .

[6]  A. M. Abdel-Ghaffar,et al.  MODELING OF RUBBER AND LEAD PASSIVE-CONTROL BEARINGS FOR SEISMIC ANALYSIS , 1995 .

[7]  Kyu-Sik Park,et al.  Hybrid seismic protection of cable‐stayed bridges , 2004 .

[8]  R. Stengel.  Stochastic Optimal Control: Theory and Application , 1986 .

[9]  H. Allison Smith,et al.  Vibration control of cable‐stayed bridges—part 2: control analyses , 1998 .

[10]  Shirley J. Dyke,et al.  PHASE I BENCHMARK CONTROL PROBLEM FOR SEISMIC RESPONSE OF CABLE-STAYED BRIDGES , 2003 .

[11]  Jann N. Yang,et al.  H∞‐based control strategies for civil engineering structures , 2003 .

[12]  Yozo Fujino,et al.  Vibration, control and monitoring of long-span bridges - Recent research, developments and practice in Japan , 2002 .

[13]  H. Allison Smith,et al.  Vibration control of cable-stayed bridges—part 1: modeling issues , 1998 .

[14]  Hyun-Moo Koh,et al.  Active control of earthquake excited structures using fuzzy supervisory technique , 2002 .

[15]  Anil K. Agrawal,et al.  APPLICATIONS OF SOME SEMIACTIVE CONTROL SYSTEMS TO BENCHMARK CABLE-STAYED BRIDGE , 2003 .

[16]  Fabio Casciati.  Proceedings of the Third World Conference on Structural Control , 2003 .

[17]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[18]  Michael C. Constantinou,et al.  Semi-active control systems for seismic protection of structures: a state-of-the-art review , 1999 .

[19]  Franco Bontempi,et al.  Seismic response of a cable-stayed bridge: Active and passive control systems (benchmark problem) , 2003 .

[20]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[21]  R. Skelton.  Dynamic Systems Control: Linear Systems Analysis and Synthesis , 1988 .

[22]  Hirokazu Iemura,et al.  Application of pseudo-negative stiffness control to the benchmark cable-stayed bridge , 2003 .

[23]  José Rodellar,et al.  An active tendon control scheme for cable‐stayed bridges with model uncertainties and seismic excitation , 2002 .

[24]  Stephen Yurkovich,et al.  Fuzzy Control , 1997 .