| Title:
|
Robust and reliable $H_\infty$ output feedback control for linear systems with parameter uncertainty and actuator failure (English) |
| Author:
|
Seo, Chang-Jun |
| Author:
|
Kim, Byung Kook |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
[429]-440 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
design problem |
| Keyword:
|
parameter uncertainty |
| Keyword:
|
linear systems |
| Keyword:
|
stabilization |
| Keyword:
|
algebraic Riccati equations |
| Keyword:
|
$H_\infty$ output feedback control |
| MSC:
|
93B36 |
| MSC:
|
93B52 |
| MSC:
|
93C05 |
| MSC:
|
93C41 |
| idZBL:
|
Zbl 1274.93109 |
| idMR:
|
MR1723518 |
| . |
| Date available:
|
2009-09-24T19:27:01Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135299 |
| . |
| Reference:
|
[1] Khargonekar P. P., Petersen I. R., Zhou K.: Robust stabilization of uncertain linear systems: Quadratic stabilization and $H_{\infty }$ control theory.IEEE Trans. Automat. Control 35 (1990), 356–361 MR 1044036, 10.1109/9.50357 |
| Reference:
|
[2] Veillette R. J., Medanic J. V., Perkins W. R.: Robust stabilization and disturbance rejection for systems with structured uncertainty.In: Proc. 28th IEEE Conf. on Decision and Control, Tampa FL 1989, pp. 934–941 MR 1038980 |
| Reference:
|
[3] Veillette R. J., Medanic J. V., Perkins W. R.: Design of reliable control systems.IEEE Trans. Automat. Control 37 (1992), 290–304 Zbl 0745.93025, MR 1148712, 10.1109/9.119629 |
| Reference:
|
[4] Xie L., Souza C. E. de: Robust $H_{\infty }$ control for a class of uncertain linear time-invariant systems.IEE Proc. D 138 (1991), 479–483 10.1049/ip-d.1991.0066 |
| Reference:
|
[5] Xie L., Souza C. E. de: Robust $H_{\infty }$ control for linear systems with norm–bounded time–varying uncertainty.IEEE Trans. Automat. Control 37 (1992), 1188–1191 MR 1178590, 10.1109/9.151101 |
| Reference:
|
[6] Zhou K., Khargonekar P. P.: Robust stabilization of linear systems with norm–bounded time–varying uncertainty.Systems Control Lett. 10 (1988), 17–20 Zbl 0634.93066, MR 0920801, 10.1016/0167-6911(88)90034-5 |
| . |
