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 H2/H\infty 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.

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 H2/H\infty 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.

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To verify insensitiveness of the designed controller against parametric uncertainties, the values of mass parameters of each storey are increased 15 % and 30 % variation from initial mass of the structure. Robustness of the proposed controller has been checked using controlled displacement frequency responses of fourth storey against the uncertainties in mass parameters in Figure 8. This Şgure reveals that the proposed controller has a satisfactory robust character for different loads. 5. Conclusions

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