The reachability and observability of hybrid multirate sampling linear systems
This paper deals with the investigation of the properties of reachability and observability of a class of hybrid multirate sampling systems where the inputs, outputs, and states are sampled at different rates. The reachability properties of multirate sampling hybrid linear systems are investigated in terms of formulating necessary and sufficient conditions for such properties to hold. The paper is organized as follows. Section 2 gives some results about sufficient and, necessary and sufficient, conditions for reachability in discrete hybrid systems which are then used to derive extensions to the multirate case which is treated in Section 3. Two typical cases are considered, namely, the case when the state-output is sampled faster than the input, and when the input is sampled faster. The formulation of the observability problem in hybrid multirate systems is briefly described in Section 4 by giving extensions from the previous reachability results. Some empirical discussions about pole-placement and other issues of interest of multirate sampling of hybrid systems are given.
scientific article; zbMATH DE number 878514
scientific article