{ "id": "2211.08786", "version": "v1", "published": "2022-11-16T09:20:53.000Z", "updated": "2022-11-16T09:20:53.000Z", "title": "Output feedback stabilization of non-uniformly observable systems by means of a switched Kalman-like observer", "authors": [ "Lucas Brivadis", "Ludovic Sacchelli" ], "categories": [ "math.OC" ], "abstract": "We propose to explore switching methods in order to recover some properties of Kalmanlike observers for output feedback stabilization of state-affine systems that may present observability singularities. The self-tuning gain matrix in Kalman-like observers tend to be singular in the case of non-uniformly observable systems. We show in the case of state-affine systems with observable target that it can be prevented by dynamically monitoring observability of the system, and switching the control when it becomes critical.", "revisions": [ { "version": "v1", "updated": "2022-11-16T09:20:53.000Z" } ], "analyses": { "keywords": [ "output feedback stabilization", "non-uniformly observable systems", "switched kalman-like observer", "state-affine systems", "kalman-like observers tend" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }