About the talk
In this talk, I will describe a newly developed framework for adaptive control of systemsdescribed by semi-linear partial differential equations and controlled by boundary-basedactuators. In order to develop the control architecture, we take the liberty of assuming fullstatefeedback. The control technique is applicable to a larger class of infinite dimensionalsystems and we develop it in an operator-theoretic framework which permits suchgeneralization. The controller is motivated by finite dimensional architectures, but needsconsiderable theoretical support in an infinite dimensional setting and which I shall describehere in some detail. I will conclude with a briefrecapitulation of a recent attempt at incorporating optimalityinto our adaptive framework.