Fast Output Sampling Feedback Cont rollers for Smart Structures

Abstract

In the fourth Chapter of this monograph, various types of control strategies for the SISO and MIMO state space models of the smart structure developed in the Chapter 2 using the fast output sampling feedback control law (a type of multirate output feedback technique) is presented. The main aim of developing these control strategies is to control and damp out the flexural or transverse vibrations of flexible beams when they are subjected to an external disturbance, say an impulse or a sinusoidal disturbance at the free end of the flexible beam or due to an actuator failure in a multivariable system. In the first part of this Chapter, the design of Fast Output Sampling (FOS) feedback controllers for the active vibration suppression of beams modelled with Euler-Bernoulli beam theory is discussed, while in the latter part of this chapter, the design of FOS controllers for the active vibration suppression of beam modelled with Timoshenko beam theory is presented. The performance of all the designed controllers are evaluated by performing the simulations and observing the various responses. Conclusions are finally drawn regarding the simulated results.