Detectability subspaces and observer synthesis for two-dimensional systems

The notions of input-containing and detectability subspaces are developed within the context of observer synthesis for two-dimensional (2-D) Fornasini-Marchesini models. Specifically, the paper considers observers which asymptotically estimate the local state, in the sense that the error tends to zero as the reconstructed local state evolves away from possibly mismatched boundary values, modulo a detectability subspace. Ultimately, the synthesis of such observers in the absence of explicit input information is addressed

Design of Observers for Hybrid Systems

A methodology for the design of dynamical observers for hybrid plants is proposed. The hybrid observer consists of two parts: a location observer and a continuous observer. The former identifies the current location of the hybrid plant, while the latter produces an estimate of the evolution of the continuous state of the hybrid plant. A synthesis procedure is offered when a set of properties on the hybrid plant is satisfied

Failure identification for 3D linear systems

Geometric control theory is used to investigate the problem of fault detection and isolation for 3D linear systems described by Fornasini---Marchesini models with the aim using these results in applications areas such as wireless sensor networks. Necessary and sufficient conditions for the existence of a solution to this problem are established together with constructive methods for the design of observers for fault detection and identification