Adaptive Control of Infinite Dimensional Systems

Infinite dimensional systems are ubiquitous in nature, and applications such as flow control, aeroelasticity and efficient temperature control are of much contemporary interest. Even large multi-agent systems can be conveniently represented, in the limit, as infinite dimensional systems. In this talk, I will present some of our work that serves to highlight characteristics unique to these systems and how these may be conveniently exploited for control design and analysis. I will start by talking about systems with a finite relative degree, and how output feedback can enhance their stability. Next, I will talk about a dyadic adaptive control framework which emerged from our attempts to derive boundary control laws for flexible aircraft. Finally, I will present recent results for a class of systems with non-coercive Lyapunov functions.

Live Zoom Event: <https://caltech.zoom.us/j/84737586094>

Box Recordings for Caltech: <https://caltech.box.com/s/ktk4t67cwdgqp2eky4duoxcahqqmt9hk>