Abstract—In this study, an active control algorithm is developed in order to control a particular mode of a shear building. The location of the actuator is considered at the first floor level for an easy application of the control force. In order to achieve the desired control, the sliding surface is designed in such a way that the effect of a particular mode of the structure at an ideal sliding is nullified. The control force is designed using a signum function in order to achieve the reachability to the sliding surface. In order to demonstrate the effectiveness of the control algorithm, a four-story shear building with uniform mass distribution is considered under an earthquake ground excitation. A secondary structure is also attached to the shear building having its frequency tuned to the second mode of the primary structure. The algorithm found to work very well in suppressing the second mode of the shear building and provides a tremendous reduction in the responses of the secondary structure.

Index Terms—sliding mode control, secondary structures, structural vibration

Cite: Sanjukta Chakraborty and Samit Ray Chaudhuri, "Development of a New Algorithm to Control Excitation of Particular Mode of a Building," Jounal of Automation and Control Engineering, Vol. 4, No. 5, pp. 370-374, October, 2016. doi: 10.18178/joace.4.5.370-374