New Nonlinear Observer by State-dependent Sylvester Equation Approach
نویسندگان
چکیده
منابع مشابه
Refinement Methods for State Estimation via Sylvester-Observer Equation
We present new iterative methods based on refinement process for solving large sparse Sylvesterobserver equations 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 process described in this paper has the capability of improvin...
متن کاملA Parallel Algorithm for the Sylvester Observer Equation
We present a new algorithm for solving the Sylvester-Observer Equation: AX ? XH = (0;C). The algorithm embodies two main computational phases: the solution of a series of independent equation systems, and a series of matrix-matrix multiplications. The algorithm is, thus, well suited for parallel and high performance computing. By reducingthe coeecient matrix A to lower Hessenberg form, one can ...
متن کاملThe global Arnoldi process for solving the Sylvester-Observer equation
In this paper, we present a method and associated theory for solving the multi-input Sylvester-Observer equation arising in the construction of the Luenberger observer in control theory. The proposed method is a particular generalization of the algorithm described by Datta and Saad in 1991 to the multi-output. We give some theoretical results and present some numerical experiments to show the a...
متن کاملA new algorithm for generalized Sylvester-observer equation and its application to state and velocity estimations in vibrating systems
We propose a new algorithm for block-wise solution of the generalized Sylvesterobserver equation XA − FXE = GC, where the matrices A,E, and C are given, the matrices X,F , and G need to be computed, and the matrix E may be singular. The algorithm is based on an orthogonal decomposition of the triplet (A,E,C) to the observer-Hessenberg-triangular form. It is a natural generalization of the widel...
متن کاملA new block algorithm for full-rank solution of the Sylvester-observer equation
Abstract—A new block algorithm for computing a full rank solution of the Sylvester-observer equation arising in state estimation is proposed. The major Computational Kernels of this algorithm are (i) solutions of ordinary Sylvester equations, in which case each one of the matrices is of much smaller order than that of the system matrix and furthermore, this small matrix can be chosen arbitraril...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 2014
ISSN: 0453-4654,1883-8189
DOI: 10.9746/sicetr.50.219