Active vibration control by combining the independent mode space control solution and bounded state control solution

Abstract

Adjusting construction vibrations is always a challenge for construction engineers. People have proposed many different control solutions,
either by passive control, or by actively controlling the vibrations of the structure. In each control solution, there are many methods offered.
In this article, the authors present a method combining the Independent Mode Space Control solution - IMSC and the Bounded State Control
solution - BSC to solve the problem of active control of vibrations of an oscillating system with many degrees of freedom, taking the advantages of each solution to improve control efficiency such as the intuitiveness and simplicity of the BSC solution, and replacing the solution
of the system of mutually constrained differential equations with the system of separate differential equations of the IMSC solution. The
authors have relied on an example of active vibration control of a five-storey frame subjected to external loads to illustrate the method, clearly
show the effectiveness of the method and provide necessary comments on the combination control method.