| Title:
|
Exact decomposition of linear singularly perturbed $H^{\infty}$-optimal control problem (English) |
| Author:
|
Fridman, Emilia |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
31 |
| Issue:
|
6 |
| Year:
|
1995 |
| Pages:
|
591-599 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B36 |
| MSC:
|
93C05 |
| MSC:
|
93C70 |
| MSC:
|
93C73 |
| idZBL:
|
Zbl 0864.93041 |
| idMR:
|
MR1374147 |
| . |
| Date available:
|
2009-09-24T18:59:02Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125274 |
| . |
| Reference:
|
[1] T. Basar, P. Bernhard: $H^\infty$-Optimal Control and Related Minimax Design Problems: a Dynamic Game Approach.Birkhauser, Boston 1991. MR 1096294 |
| Reference:
|
[2] J. Doyle K. Glover P. Khargonekar, B. Francis: State-space solutions to standard $H_2$ and $H_\infty$ control.IEEE Trans. Automat. Control 34 (1989), 831-847. MR 1004301 |
| Reference:
|
[3] V. Dragan: Asymptotic expansions for game-theoretic Riccati equations and stabilization with disturbance attenuation for singularly perturbed systems.Systems Control Lett. 20 (1993), 455-463. Zbl 0784.93040, MR 1224655 |
| Reference:
|
[4] E. Fridman: Decomposition of linear optimal singularly perturbed systems with time delay.Automat. Remote Control 51 (1990), 1518-1527. MR 1093044 |
| Reference:
|
[5] E. Fridman: $H^\infty$-control of nonlinear singularly perturbed systems and invariant manifolds.Ann. Int. Society on Dynamic Games, Birkhauser 1995, to appear. Zbl 0864.93041, MR 1413974 |
| Reference:
|
[6] T. Grodt, Z. Gajic: The recursive reduced-order numerical solution of the singularly perturbed matrix differential Riccati equation.IEEE Trans. Automat. Control AC-33 (1988), 751-754. Zbl 0649.93023, MR 0950796 |
| Reference:
|
[7] K. Khalil, F. Chen: $H^\infty$-control of two-time-scale systems.Systems Control Lett. 19 (1992), 1, 35-42. MR 1170985 |
| Reference:
|
[8] P. Kokotovic H. Khalil, J. O'Reilly: Singular Perturbation Methods in Control: Analysis and Design.Academic Press, New York 1986. MR 0950486 |
| Reference:
|
[9] D. Luse, J. Ball: Frequency-scale decomposition of $H^\infty$-disk problems.SIAM J. Control Optim. 27 (1989), 814-835. MR 1001921 |
| Reference:
|
[10] Z. Pan, T. Basar: $H^\infty$-optimal control for singularly perturbed systems. Part I: Perfect State Measurements.Automatica 2 (1993), 401-424. Zbl 0782.49015, MR 1211296 |
| Reference:
|
[11] V. Sobolev: Integral manifolds and decomposition of singularly perturbed systems.Systems Control Lett. 5 (1984), 169-179. Zbl 0552.93017, MR 0777849 |
| Reference:
|
[12] W. C. Su Z. Gajic, X. Shen: The exact slow-fast decomposition of the algebraic Riccati equation of singularly perturbed systems.IEEE Trans. Automat. Control AC-57 (1992), 9, 1456-1459. Zbl 0755.93046, MR 1183114 |
| . |
