Robust and reliable H ∞ output feedback control for linear systems with parameter uncertainty and actuator failure

Chang-Jun Seo; Byung Kook Kim

Kybernetika (1999)

  • Volume: 35, Issue: 4, page [429]-440
  • ISSN: 0023-5954

Abstract

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The robust and reliable H ∞ 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 ∞ -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 ∞ control and reliable H ∞ control of uncertain linear systems.

How to cite

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Seo, Chang-Jun, and Kim, Byung Kook. "Robust and reliable $H_\infty $ output feedback control for linear systems with parameter uncertainty and actuator failure." Kybernetika 35.4 (1999): [429]-440. <http://eudml.org/doc/33438>.

@article{Seo1999,
abstract = {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.},
author = {Seo, Chang-Jun, Kim, Byung Kook},
journal = {Kybernetika},
keywords = {design problem; parameter uncertainty; linear systems; stabilization; algebraic Riccati equations; $H_\infty $ output feedback control; output feedback control; design problem; parameter uncertainty; linear systems; stabilization; algebraic Riccati equations},
language = {eng},
number = {4},
pages = {[429]-440},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust and reliable $H_\infty $ output feedback control for linear systems with parameter uncertainty and actuator failure},
url = {http://eudml.org/doc/33438},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Seo, Chang-Jun
AU - Kim, Byung Kook
TI - Robust and reliable $H_\infty $ output feedback control for linear systems with parameter uncertainty and actuator failure
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 4
SP - [429]
EP - 440
AB - 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.
LA - eng
KW - design problem; parameter uncertainty; linear systems; stabilization; algebraic Riccati equations; $H_\infty $ output feedback control; output feedback control; design problem; parameter uncertainty; linear systems; stabilization; algebraic Riccati equations
UR - http://eudml.org/doc/33438
ER -

References

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  3. Veillette R. J., Medanic J. V., Perkins W. R., 10.1109/9.119629, IEEE Trans. Automat. Control 37 (1992), 290–304 (1992) Zbl0745.93025MR1148712DOI10.1109/9.119629
  4. Xie L., Souza C. E. de, 10.1049/ip-d.1991.0066, IEE Proc. D 138 (1991), 479–483 (1991) DOI10.1049/ip-d.1991.0066
  5. Xie L., Souza C. E. de, 10.1109/9.151101, IEEE Trans. Automat. Control 37 (1992), 1188–1191 (1992) MR1178590DOI10.1109/9.151101
  6. Zhou K., Khargonekar P. P., 10.1016/0167-6911(88)90034-5, Systems Control Lett. 10 (1988), 17–20 (1988) Zbl0634.93066MR0920801DOI10.1016/0167-6911(88)90034-5

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