Title :
Parity Space-Based Fault Estimation for Linear Discrete Time-Varying Systems
Author :
Zhong, Maiying ; Ding, Steven X. ; Han, Qing-Long ; Ding, Qiang
Author_Institution :
Dept. of Inertia Technol. & Navig. Guidance Instrum., Beihang Univ., Beijing, China
fDate :
7/1/2010 12:00:00 AM
Abstract :
This note is concerned with the problem of parity space-based fault estimation for linear discrete time-varying systems. The design of parity space-based fault estimator is formulated as to find a minimum for a matrix quadratic form. It is shown that the minimum provides a unified solution to the fault estimation problem with different design criteria, such as the performance indices of maximum singular value and Frobenius-norm. A necessary and sufficient condition for the minimum is derived and an analytic solution to the parity space-based fault estimator is obtained. Numerical examples are given to show the effectiveness of the proposed method.
Keywords :
discrete time systems; fault diagnosis; linear systems; time-varying systems; Frobenius norm; discrete time-varying system; fault estimation; linear systems; matrix quadratic form; maximum singular value; parity space; Books; Control systems; Design optimization; Eigenvalues and eigenfunctions; Fault detection; Fault diagnosis; Filtering; Karhunen-Loeve transforms; Length measurement; Phase frequency detector; Space technology; Sufficient conditions; Time varying systems; Fault estimation; linear time-varying system; matrix quadratic form; parity space;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2047672
