Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD
DOI:
https://doi.org/10.17268/sel.mat.2023.01.13Keywords:
Earthquake, control, vibrating system, fundamental matrix solution, LQR problemAbstract
The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients. The linear quadratic regulator leads to a fourth-order system and second-order transversality conditions. Those systems are studied with a matrix basis generated by a fundamental matrix solution.
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