Active vibration control of seismic excited structural system using LMI-based mixed H2/H\infty state feedback controller

This paper is concerned with the active vibration control of a four-degree-of-freedom structure, which is effected by earthquake. To obtain desired time history and frequency responses for solution of active vibration control problem, Linear Matrix Inequality (LMI) based state-feedback mixed H 2 /H ∞ controller is designed in this study. The time history of ground motion of the Kobe earthquake in 1995, which is a disturbance input, is applied to modeled structure. At the end of the study, the time history of the storey displacements, velocities and frequency responses of both controlled and uncontrolled cases are presented and results are discussed. Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.

[1]  Carsten W. Scherer,et al.  Multi-Objective Output-Feedback Control via LMI Optimization , 1996 .

[2]  James Lam,et al.  Non-fragile H∞ vibration control for uncertain structural systems , 2004 .

[3]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[4]  Kenzo Nonami,et al.  Active vibration control using LMI-based mixed H/sub 2//H/sub /spl infin// state and output feedback control with nonlinearity , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[5]  Kazuo Yoshida,et al.  Semi-active base isolation for a building structure , 2000 .

[6]  Kenny C. S Kwok,et al.  Active control of along wind response of tall building using a fuzzy controller , 2001 .

[7]  Dong-il Dan Cho.  Experimental results on sliding mode control of an electromagnetic suspension , 1993 .

[8]  Rahmi Guclu,et al.  Sliding mode and PID control of a structural system against earthquake , 2006, Math. Comput. Model..

[9]  M. V. C. Rao,et al.  A tunable fuzzy logic controller for vehicle-active suspension systems , 1997, Fuzzy Sets Syst..

[10]  R. Guclu,et al.  Fuzzy Logic Control of a Non-linear Structural System against Earthquake Induced Vibration , 2007 .

[11]  T. T. Soong,et al.  Passive and Active Structural Vibration Control in Civil Engineering , 1994, CISM International Centre for Mechanical Sciences.

[12]  Rahmi Guclu,et al.  Evaluation of Sliding Mode and Proportional-Integral-Derivative Controlled Structures with an Active Mass Damper , 2005 .

[13]  Rahmi Guclu,et al.  Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers , 2008 .

[14]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[15]  Hidenori Kimura.  State-Space Solutions to H∞ Control Problems , 1997 .

[16]  Rahmi Guclu,et al.  Self-tuning fuzzy logic control of a non-linear structural system with ATMD against earthquake , 2009 .

[17]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

[18]  B. Francis,et al.  A Course in H Control Theory , 1987 .