An Independent Robust Modal PID Control Approach for Seismic Control of Buildings

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An Independent Robust Modal PID Control Approach for Seismic Control of Buildings

Original Article, C43
Etedali S, Sohrabi M.R, Tavakoli S.
Journal. Civil Eng. Urban. 3(5):279-291. 2013

ABSTRACT:In this paper, an independent robust modal PID control approach for seismic control of structures is proposed. First, state space equations of the structure are transformed into modal coordinates. Second, the parameters of the modal PID control are separately designed in a reduced modal space. To create a good trade-off between the performance and robustness of the modal controller, the modal feedback gain is determined using genetic algorithms. Then, the feedback gain matrix of the controller is obtained based on the contribution of modal responses to the structural response. Considering four earthquakes and twelve performance indices, the performance of the controller is investigated for an 11-story realistic building equipped with ATMD. Simulation results show that the proposed controller significantly performs better than the LQR in reduction of structural responses. Unlike the LQR, the proposed controller is able to significantly reduce structural responses in strong earthquakes at the cost of demanding a higher control force and external power. Furthermore, it maintains appropriate performance in dealing with model uncertainties. In addition, the proposed controller has several advantages over conventional modern controllers in terms of simplicity and reduction of required sensors to the number of controlled stories.
Keywords:Seismic Control, Active Tuned Mass Damper, Modelling Error, Robust Control, PID Controller

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