ABSTRACT

In this chapter, we are interested in applying control techniques to a single spherical bubble modeled by Rayleigh-Plesset (RP) equation and represented by differential equations of the state-space form. By this representation, different control objectives, such as regulation, tracking, robustness, and optimization can be achieved via related control approaches. The results presented here seem to be the first to use control techniques for stability analysis and control of a single spherical bubble.