The fractional calculus and the calculus of variations are utilized to model and control
complex dynamical systems. Those systems are presented more accurately by means of …

The behaviors of some vibrating dynamic systems cannot be modeled precisely by means of
integer representation models. Fractional representation looks like it is more accurate to …

The magnetorheological fluid damper (MRD) is a commonly employed semi-active damping
mechanism. The utilisation of this technology has the potential to mitigate the impact of …

Due to multiple degrees of freedom, evaluating high-rise buildings' seismic safety under
unpredictable seismic excitations is difficult. To address the issue that the damage …

In this paper, a Proportional Integral Derivative (PID) controller is designed to mitigate the
vibration response of the structure. The simulation is done for three degrees of freedom …

The magnetorheological (MR) damper behavior is described by a set of nonlinear
differential equations, which are unsuitable in control applications. This paper illustrates the …

Control of cable-stayed bridge flutter for earthquake and aerodynamic hazard mitigation
represents a relatively new area of research. This paper proposes a new optimized smart …

Control systems play a crucial role in the operation of airplanes, robots and the new
generation of smart automobiles to improve their performance, safety and robustness …

The fractional calculus is a promising applied mathematical tool to different disciplines.
Some dynamic systems can be precisely represented as fractional systems due to their …

High structure in this world are using damper as a vibration controller device. The vibration
control in a building is very important due to the public safety. In this study, Active Mass …