In this paper, an observer-based controller design problem for a discrete-time Markovian jumping singular system (DMJSS) with polytopic uncertainties is considered, which is based on a set of necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) for an admissibility analysis problem. A proposed mode dependent observer and a controller can be designed separately via two sets of derived LMI-based synthesis conditions. There are two principal contributions in this paper. One is that a set of strictly LMI-based necessary and sufficient conditions for the admissibility analysis problem for a DMJSS is extended to the case with uncertainties. Another one is that a suitable observer and a controller can be designed independently via two sets of strictly LMI-based synthesis conditions instead of a set of complex algorithm in terms of bilinear or nonconvex inequalities.
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.