https://scholars.lib.ntu.edu.tw/handle/123456789/154306
Title: | Optimal-Observer Design for Linear Dynamical Systems with Uncertain Parameters | Authors: | SHENG-DE WANG Kuo, Te-Son Hsu C.-F. |
Issue Date: | 1987 | Journal Volume: | 45 | Journal Issue: | 2 | Start page/Pages: | 701-711 | Source: | International Journal of Control | Abstract: | This 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. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/120791 https://www.scopus.com/inward/record.uri?eid=2-s2.0-0023288006&doi=10.1080%2f00207178708933762&partnerID=40&md5=7392ee492361a4f43d0cab14bc8f1888 |
ISSN: | 00207179 | DOI: | 10.1080/00207178708933762 | SDG/Keyword: | CONTROL SYSTEMS, OPTIMAL - Design; BOUNDING ELLIPSOID; LINEAR DYNAMICAL SYSTEMS; OPTIMAL-OBSERVER DESIGN; REDUCED-ORDER OBSERVER; UNCERTAIN PARAMETERS; CONTROL SYSTEMS, LINEAR |
Appears in Collections: | 電機工程學系 |
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