Control of composite distributed parameter systems with actuator dynamics

Abstract

In this paper we consider some control problems for a class of composite infinite dimensional systems. Distributed parameter systems include models governed by partial differential equations, delay differential equations and hybrid systems with interconnected ordinary differential and partial differential equations. These systems arise naturally when the problem is multidisciplinary (e.g., aero-elasticity, thermal-fluids) but also occur when actuator dynamics are included in the control design problem. We present examples to highlight some technical issues that occur when dealing with interconnected systems and then focus on a special class of composite systems that occur when actuator dynamics are included as part of the model. Finally, we suggest some new application areas that offer enormous opportunities for researchers interested in distributed parameter control.