Fault estimations for linear systems with polytopic uncertainties

Authors:
Heng Wang;Guang-/Hong Yang
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China.;College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China/ Key Laboratory of Integrated Automation of Process Industry Ministry of Education, North ...
Venue:
International Journal of Systems, Control and Communications
Year:
2008

Citing 7
Cited 0

On the Kalman-Yakubovich-Popov lemma

Systems & Control Letters
Robust model-based fault diagnosis for dynamic systems

Robust model-based fault diagnosis for dynamic systems
H2 and $H_\infty$ Robust Filtering for Discrete-Time Linear Systems

SIAM Journal on Control and Optimization
Brief An LMI approach to design robust fault detection filter for uncertain LTI systems

Automatica (Journal of IFAC)
Brief Robust fault detection in uncertain dynamic systems

Automatica (Journal of IFAC)
A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an LMI approach

Automatica (Journal of IFAC)
Design and analysis of robust residual generators for systems under feedback control

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper studies the fault estimations problem for linear time-invariant systems with polytopic uncertainties. Both discrete-time and continuous-time cases are considered, and the recently developed Generalized Kalman-Yakubovich-Popov (GKYP) Lemma is exploited to formulate the fault estimation filter design problem in finite frequency domain. The filter is designed to make the error between residual and fault as small as possible despite of the disturbance effects and model uncertainties. Design methods are presented in terms of solutions to a set of Linear Matrix Inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed methods.