Title: Fault estimations for linear systems with polytopic uncertainties

Authors: Heng Wang, Guang-Hong Yang

Addresses: 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, Northeastern University, Shenyang 110004, China

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.

Keywords: fault estimation; linear matrix inequality; LMI; generalized Kalman-Yakubovich-Popov lemma; finite frequency; polytopic uncertainties; linear time-invariant systems; filter design.

DOI: 10.1504/IJSCC.2008.019583

International Journal of Systems, Control and Communications, 2008 Vol.1 No.1, pp.53 - 71

Published online: 17 Jul 2008 *

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