Title :
Control of hyperbolic PDE systems with actuator dynamics
Author :
Burns, John A. ; Cliff, Eugene M.
Author_Institution :
Interdiscipl. Center for Appl. Math., Virginia Tech, Blacksburg, VA, USA
Abstract :
In this paper we consider a boundary control problem for a class of hyperbolic PDEs that arise in the design and control of thermal fluid systems. We include the effects of actuator dynamics and show how one may formulate the problem so that the input operator is bounded. We prove that the system is well-posed in standard Hilbert spaces and present a rigorous numerical scheme for approximating control laws. Numerical results are given to illustrate the ideas.
Keywords :
Hilbert spaces; actuators; control system synthesis; heat exchangers; hyperbolic equations; partial differential equations; actuator dynamics; boundary control problem; control law approximation; hyperbolic PDE system control; standard Hilbert spaces; thermal fluid systems; Actuators; Approximation methods; Convergence; Equations; Optimal control; Zinc;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039829
