Paper Info
Title
H∞ Fault Estimation for 2-D Linear Discrete Time-Varying Systems Based on Krein Space Method.
Abstract
This paper addresses the finite horizon ${H_infty }$ fault estimation problem for 2-D linear discrete time-varying systems with bounded unknown input and measurement noise. The main contribution of this paper is the ${H_infty }$ fault estimator for 2-D systems with a necessary and sufficient existence condition. By introducing a partially equivalent stochastic dynamic system in Krein space, the necessary and sufficient condition for the existence of the ${H_infty }$ fault estimator is derived based on innovation analysis and projection formula in Krein space. Then, the solution of the estimator is achieved by means of a Riccati-like difference equation for 2-D systems. Finally, a thermal process example is given to demonstrate the effectiveness of the proposed method.
Year
DOI
Venue
2018
10.1109/tsmc.2017.2723623
IEEE Trans. Systems, Man, and Cybernetics: Systems
Field
DocType
Volume
Differential equation,Boundary value problem,Mathematical analysis,Control theory,Projection (linear algebra),Symmetric matrix,Discrete time and continuous time,Finite horizon,Mathematics,Estimator,Bounded function
Journal
48
Issue
Citations 
PageRank 
12
9
0.50
References 
Authors
0
4
Name
Order
Citations
PageRank
Dong Zhao1140.93
Youqing Wang222025.81
Yueyang Li312412.98
Steven X. Ding41792124.79