In this section
@article{Segundo:2015:10.1109/TAC.2015.2418681,
author = {Segundo, Sevilla FR and Jaimoukha, I and Chaudhuri, B and Korba, P},
doi = {10.1109/TAC.2015.2418681},
journal = {IEEE Transactions on Automatic Control},
pages = {3332--3337},
title = {A semidefinite relaxation procedure for fault-tolerant observer design},
url = {http://dx.doi.org/10.1109/TAC.2015.2418681},
volume = {60},
year = {2015}
}
TY - JOUR
AB - A fault-tolerant observer design methodology is proposed. The aim is to guarantee a minimum level of closed-loop performance under all possible sensor fault combinations while optimizing performance under the nominal, fault-free condition. A novel approach is proposed to tackle the combinatorial nature of the problem, which is computationally intractable even for a moderate number of sensors, by recasting the problem as a robust performance problem, where the uncertainty set is composed of all combinations of a set of binary variables. A procedure based on an elimination lemma and an extension of a semidefinite relaxation procedure for binary variables is then used to derive sufficient conditions (necessary and sufficient in the case of one binary variable) for the solution of the problem which significantly reduces the number of matrix inequalities needed to solve the problem. The procedure is illustrated by considering a fault-tolerant observer switching scheme in which the observer outputs track the actual sensor fault condition. A numerical example from an electric power application is presented to illustrate the effectiveness of the design.
AU - Segundo,Sevilla FR
AU - Jaimoukha,I
AU - Chaudhuri,B
AU - Korba,P
DO - 10.1109/TAC.2015.2418681
EP - 3337
PY - 2015///
SN - 0018-9286
SP - 3332
TI - A semidefinite relaxation procedure for fault-tolerant observer design
T2 - IEEE Transactions on Automatic Control
UR - http://dx.doi.org/10.1109/TAC.2015.2418681
UR - https://ieeexplore.ieee.org/document/7076600
UR - http://hdl.handle.net/10044/1/38871
VL - 60
ER -