Stability Analysis and Bidirectional Vibration Control of Structure

Abstract

In the area of vibration control associated with structures, proportional-integral-derivative (PID) is considered to be an effective controller for the vibration attenuation scheme. Although the researchers prefer the use of PID controller but due to huge uncertainties in the structure, the control actions are not good. This paper depicts the application of combined PID control with Type-1 Fuzzy system for the compensation of the involved uncertainties. The main role of the Type-1 Fuzzy logic model is the identification of the uncertainties in the modeling equation and also to compensate it in an effective way. The methodology of Lyapunov stability criterion is implemented to validate the uniform stability of the closed-loop system. The synergistic combination of active mass damper (AMD), torsional actuator (TA), and Type-1 Fuzzy PID controller resulted in superior vibration attenuation which is validated by the experimental tests.