Details
| Original language | English |
|---|---|
| Pages (from-to) | 1372-1379 |
| Number of pages | 8 |
| Journal | AUTOMATICA |
| Volume | 48 |
| Issue number | 7 |
| Publication status | Published - Jul 2012 |
| Externally published | Yes |
Abstract
In this paper, we propose an approach for modeling fault coverage in nonlinear dynamical systems. Fault coverage gives a measure of the likelihood that a system will be able to recover after a fault occurrence. In our setup, the system dynamics are described by a standard state-space model. The system input (disturbance) is considered to be unknown but bounded at all times. Before any fault occurrence, the vector field governing the system dynamics is such that, for any possible input signal, the corresponding system reach set is contained in some region of the state space defined by the system performance requirements. When a fault occurs, the vector field that governs the system dynamics might be altered. Fault coverage is defined as the probability that, given a fault has occurred, the system trajectories remain, at all times, within the region of the state-space defined by the performance requirements. Input-to-state stability (ISS) concepts are used to compute estimates of the proposed coverage model. Several examples are discussed in order to illustrate the proposed modeling approach.
Keywords
- Fault coverage, Fault tolerance, Input-to-state stability (ISS), Invariant sets, Nonlinear systems
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Engineering(all)
- Electrical and Electronic Engineering
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In: AUTOMATICA, Vol. 48, No. 7, 07.2012, p. 1372-1379.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fault coverage modeling in nonlinear dynamical systems
AU - Müller, Matthias A.
AU - Domínguez-García, Alejandro D.
PY - 2012/7
Y1 - 2012/7
N2 - In this paper, we propose an approach for modeling fault coverage in nonlinear dynamical systems. Fault coverage gives a measure of the likelihood that a system will be able to recover after a fault occurrence. In our setup, the system dynamics are described by a standard state-space model. The system input (disturbance) is considered to be unknown but bounded at all times. Before any fault occurrence, the vector field governing the system dynamics is such that, for any possible input signal, the corresponding system reach set is contained in some region of the state space defined by the system performance requirements. When a fault occurs, the vector field that governs the system dynamics might be altered. Fault coverage is defined as the probability that, given a fault has occurred, the system trajectories remain, at all times, within the region of the state-space defined by the performance requirements. Input-to-state stability (ISS) concepts are used to compute estimates of the proposed coverage model. Several examples are discussed in order to illustrate the proposed modeling approach.
AB - In this paper, we propose an approach for modeling fault coverage in nonlinear dynamical systems. Fault coverage gives a measure of the likelihood that a system will be able to recover after a fault occurrence. In our setup, the system dynamics are described by a standard state-space model. The system input (disturbance) is considered to be unknown but bounded at all times. Before any fault occurrence, the vector field governing the system dynamics is such that, for any possible input signal, the corresponding system reach set is contained in some region of the state space defined by the system performance requirements. When a fault occurs, the vector field that governs the system dynamics might be altered. Fault coverage is defined as the probability that, given a fault has occurred, the system trajectories remain, at all times, within the region of the state-space defined by the performance requirements. Input-to-state stability (ISS) concepts are used to compute estimates of the proposed coverage model. Several examples are discussed in order to illustrate the proposed modeling approach.
KW - Fault coverage
KW - Fault tolerance
KW - Input-to-state stability (ISS)
KW - Invariant sets
KW - Nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=84862890241&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2012.04.007
DO - 10.1016/j.automatica.2012.04.007
M3 - Article
AN - SCOPUS:84862890241
VL - 48
SP - 1372
EP - 1379
JO - AUTOMATICA
JF - AUTOMATICA
SN - 0005-1098
IS - 7
ER -