An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers

Alberto Ortiz; Daniel Quintana; Victor Estrada-Manzo; Miguel Bernal

Kybernetika (2024)

  • Issue: 4, page 492-512
  • ISSN: 0023-5954

Abstract

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This paper proposes a fault tolerant control scheme for nonlinear systems in descriptor form. The approach is based on the design of an unknown input observer in order to estimate the missing state variables as well as actuator faults, such design is carried out once a proper estimation error system is obtained via a recent factorization method; then, the estimated signals are employed in the control law in order to drive the states asymptotically to the origin despite actuator faults. The designing conditions are given in terms of linear matrix inequalities. Numerical as well as physical systems are used to illustrate the advantages of the proposal.

How to cite

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Ortiz, Alberto, et al. "An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers." Kybernetika (2024): 492-512. <http://eudml.org/doc/299416>.

@article{Ortiz2024,
abstract = {This paper proposes a fault tolerant control scheme for nonlinear systems in descriptor form. The approach is based on the design of an unknown input observer in order to estimate the missing state variables as well as actuator faults, such design is carried out once a proper estimation error system is obtained via a recent factorization method; then, the estimated signals are employed in the control law in order to drive the states asymptotically to the origin despite actuator faults. The designing conditions are given in terms of linear matrix inequalities. Numerical as well as physical systems are used to illustrate the advantages of the proposal.},
author = {Ortiz, Alberto, Quintana, Daniel, Estrada-Manzo, Victor, Bernal, Miguel},
journal = {Kybernetika},
keywords = {Takagi–Sugeno model; descriptor system; fault tolerant control; linear matrix inequality; Lyapunov method; unknown input observer},
language = {eng},
number = {4},
pages = {492-512},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers},
url = {http://eudml.org/doc/299416},
year = {2024},
}

TY - JOUR
AU - Ortiz, Alberto
AU - Quintana, Daniel
AU - Estrada-Manzo, Victor
AU - Bernal, Miguel
TI - An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 4
SP - 492
EP - 512
AB - This paper proposes a fault tolerant control scheme for nonlinear systems in descriptor form. The approach is based on the design of an unknown input observer in order to estimate the missing state variables as well as actuator faults, such design is carried out once a proper estimation error system is obtained via a recent factorization method; then, the estimated signals are employed in the control law in order to drive the states asymptotically to the origin despite actuator faults. The designing conditions are given in terms of linear matrix inequalities. Numerical as well as physical systems are used to illustrate the advantages of the proposal.
LA - eng
KW - Takagi–Sugeno model; descriptor system; fault tolerant control; linear matrix inequality; Lyapunov method; unknown input observer
UR - http://eudml.org/doc/299416
ER -

References

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