Abstract:In this work, a linear matrix inequality (LMI) methodology is used to design a controller to stabilize the second order parabolic PDE in the presence of input constraints. The novel feature of the proposed synthesis is to construct the LMI formulation within the modal space by using the spectrum analysis, which transfers the original infinite dimensional PDE state into the modal state, described by the abstract state space representation. The state feedback controller and Luenberger observer are developed by t… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.