Open AccessRefinement Methods for State Estimation via Sylvester-Observer Equation
Author(s) -
H. Saberi Najafi,
A. H. Refahi Sheikhani
Publication year - 2011
Publication title -
advances in numerical analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-9570
pISSN - 1687-9562
DOI - 10.1155/2011/184314
Subject(s) - observer (physics) , sylvester equation , matrix free methods , computer science , iterative refinement , process (computing) , projection (relational algebra) , iterative method , matrix (chemical analysis) , state (computer science) , mathematics , sylvester matrix , mathematical optimization , algorithm , sparse matrix , mathematical analysis , eigenvalues and eigenvectors , physics , materials science , quantum mechanics , polynomial matrix , matrix polynomial , polynomial , composite material , gaussian , operating system
We present new iterative methods based on refinement process for solving large sparse Sylvester-observerequations applied in state estimation of a continuous-time system. These methods use projection methods to produce low-dimensional Sylvester-observer matrix equations that are solved by the direct methods. Moreover, the refinement processdescribed in this paper has the capability of improving the results obtained by any other methods. Some numerical resultswill be reported to illustrate the efficiency of the proposed methods
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom