Geodesic
Robust and reliable $H_\infty$ output feedback control for linear systems with parameter uncertainty and actuator failure
Kybernetika, Tome 35 (1999) no. 4, pp. 429-440 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The robust and reliable $H_{\infty }$ output feedback controller design problem is investigated for uncertain linear systems with actuator failures within a prespecified subset of actuators. The uncertainty considered here is time- varying norm-bounded parameter uncertainty in the state matrix. The output of a faulty actuator is assumed to be any arbitrary energy-bounded signal. An observer-based output feedback controller design is presented which stabilizes the plant and guarantees an $H_{\infty }$-norm bound on attenuation of augmented disturbances, for all admissible uncertainties as well as actuator failures. The construction of the observer-based output feedback control law requires the positive-definite solutions of two algebraic Riccati equations. The result can be regarded as an extension of existing results on robust $H_{\infty }$ control and reliable $H_{\infty }$ control of uncertain linear systems.
The robust and reliable $H_{\infty }$ output feedback controller design problem is investigated for uncertain linear systems with actuator failures within a prespecified subset of actuators. The uncertainty considered here is time- varying norm-bounded parameter uncertainty in the state matrix. The output of a faulty actuator is assumed to be any arbitrary energy-bounded signal. An observer-based output feedback controller design is presented which stabilizes the plant and guarantees an $H_{\infty }$-norm bound on attenuation of augmented disturbances, for all admissible uncertainties as well as actuator failures. The construction of the observer-based output feedback control law requires the positive-definite solutions of two algebraic Riccati equations. The result can be regarded as an extension of existing results on robust $H_{\infty }$ control and reliable $H_{\infty }$ control of uncertain linear systems.
Classification : 93B36, 93B52, 93C05, 93C41
Keywords: design problem; parameter uncertainty; linear systems; stabilization; algebraic Riccati equations; $H_\infty$ output feedback control 
@article{KYB_1999_35_4_a2,
     author = {Seo, Chang-Jun and Kim, Byung Kook},
     title = {Robust and reliable $H_\infty$ output feedback control for linear systems with parameter uncertainty and actuator failure},
     journal = {Kybernetika},
     pages = {429--440},
     year = {1999},
     volume = {35},
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     zbl = {1274.93109},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1999_35_4_a2/}
}
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Seo, Chang-Jun; Kim, Byung Kook. Robust and reliable $H_\infty$ output feedback control for linear systems with parameter uncertainty and actuator failure. Kybernetika, Tome 35 (1999) no. 4, pp. 429-440. http://geodesic.mathdoc.fr/item/KYB_1999_35_4_a2/

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