A number of academics have taken an interest in semi-
active regulation of structural vibrations as of late. Proven
to be cost-effective, semi-active control systems ensure
that structures are secure against earthquake and wind
excitations. This research proposes a semi-active device
that dissipates the energy required to excite an earthquake
by making use of the properties of magneto-rheological
fluids. To control the unwanted vibrations of a structure
that is excited by an earthquake, the Magneto-Rheological
damper is used. In addition, to manage this semi-active
device, a sliding mode controller that is connected to the
Clipped optimum algorithm is suggested. Numerical
simulation results comparing the controlled and
uncontrolled structures demonstrate the efficacy of the
newly suggested adaptive controller in controlling
structural earthquake vibrations. In any case, an adaptive
gain law reinforces the sliding mode controller. An excited
three-story scaled structure's evaluation indices show the
improvement of the sliding mode controller via the
adaptive gain law. This leads us to examine the suggested
adaptive sliding mode controller and compare its
performance to that of an uncontrolled structure subjected
to the excitations of the El Centro 1940 and Boumerdès
2003 earthquakes.