H2 Suboptimal Estimation and Control for Nonnegative Dynamical Systems

Linear matrix inequalities provide a powerful design framework for linear control problems. In this paper, we use linear matrix inequalities to develop H₂ (sub)optimal estimators and controllers for nonnegative dynamical systems. Specifically, we formulate a series of generalized eigenvalue problems subject to a set of linear matrix inequality constraints for designing H₂ suboptimal estimators, static controllers, and dynamic controllers for nonnegative dynamical systems.