SHENG-DE WANGKuo, Te-SonTe-SonKuoHsu C.-F.2009-02-042018-07-062009-02-042018-07-06198700207179http://ntur.lib.ntu.edu.tw//handle/246246/120791https://www.scopus.com/inward/record.uri?eid=2-s2.0-0023288006&doi=10.1080%2f00207178708933762&partnerID=40&md5=7392ee492361a4f43d0cab14bc8f1888This paper presents a design technique for the synthesis of robust observers for linear dynamical systems with uncertain parameters. The perturbations under consideration are modelled as unknown but bounded disturbances and an ellipsoidal set-theoretic approach is used to formulate the optimal-observer design problem. The optimal criterion introduced here is the minimization of the ‘size’ of the bounding ellipsoid of the estimation error. A necessary and sufficient condition for this optimal design problem is presented. The results are stated in terms of a reduced-order observer with constant gain matrix, which is then determined by solving a matrix Riccati-type equation. Furthermore, a gradient-search algorithm is presented to find the optimal solution when the free parameter that enters in the construction of the bounding ellipsoids of the estimation error is considered as a design parameter. The effectiveness of the proposed approach is illustrated through a numerical example. © 1987 Taylor & Francis Group, LLC.en-USCONTROL SYSTEMS, OPTIMAL - Design; BOUNDING ELLIPSOID; LINEAR DYNAMICAL SYSTEMS; OPTIMAL-OBSERVER DESIGN; REDUCED-ORDER OBSERVER; UNCERTAIN PARAMETERS; CONTROL SYSTEMS, LINEARjournal article10.1080/002071787089337622-s2.0-0023288006