Abstract
We study the problem of regulation of a passive and diffusive scalar in two-dimensional unsteady flows. We consider two kinds of outputs: a weighted average of the scalar concentration and the concentration on the boundary of a domain. Flux feedback and feedforward controllers are applied on the boundary. We introduce a method of signal-dependent equilibrium translation to convert the regulation problem into a stabilization problem of the convection diffusion equation. This results in a time-dependent regulator system due to the unsteady flows. We show that the feedforward controllers synthesized from the solution of the regulator system regulate the above defined output to its constant reference and any feedforward controllers give the same convergence rate of the regulation error. Numerical simulations are conducted to further confirm these theoretical results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
