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An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers
Kybernetika, Tome 60 (2024) no. 4, pp. 492-512 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2024-4-0492
Classification : 93B50, 93B53, 93C10, 93C15, 93D05
Keywords: Takagi–Sugeno model; descriptor system; fault tolerant control; linear matrix inequality; Lyapunov method; unknown input observer 
@article{10_14736_kyb_2024_4_0492,
     author = {Ortiz, Alberto and Quintana, Daniel and Estrada-Manzo, Victor and Bernal, Miguel},
     title = {An {LMI-based} convex fault tolerant control of nonlinear descriptor systems via unknown input observers},
     journal = {Kybernetika},
     pages = {492--512},
     year = {2024},
     volume = {60},
     number = {4},
     doi = {10.14736/kyb-2024-4-0492},
     mrnumber = {4811985},
     zbl = {07953741},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-4-0492/}
}
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Ortiz, Alberto; Quintana, Daniel; Estrada-Manzo, Victor; Bernal, Miguel. An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers. Kybernetika, Tome 60 (2024) no. 4, pp. 492-512. doi: 10.14736/kyb-2024-4-0492

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