Exact decomposition of linear singularly perturbed H ∞ -optimal control problem

Emilia Fridman

Kybernetika (1995)

  • Volume: 31, Issue: 6, page 591-599
  • ISSN: 0023-5954

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Fridman, Emilia. "Exact decomposition of linear singularly perturbed $H^{\infty }$-optimal control problem." Kybernetika 31.6 (1995): 591-599. <http://eudml.org/doc/28429>.

@article{Fridman1995,
author = {Fridman, Emilia},
journal = {Kybernetika},
keywords = {asymptotic expansions; singularly perturbed -optimal control; perfect state measurements; decomposition; Riccati equations},
language = {eng},
number = {6},
pages = {591-599},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Exact decomposition of linear singularly perturbed $H^\{\infty \}$-optimal control problem},
url = {http://eudml.org/doc/28429},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Fridman, Emilia
TI - Exact decomposition of linear singularly perturbed $H^{\infty }$-optimal control problem
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 6
SP - 591
EP - 599
LA - eng
KW - asymptotic expansions; singularly perturbed -optimal control; perfect state measurements; decomposition; Riccati equations
UR - http://eudml.org/doc/28429
ER -

References

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  1. T. Basar, P. Bernhard, H ∞ -Optimal Control and Related Minimax Design Problems: a Dynamic Game Approach, Birkhauser, Boston 1991. (1991) MR1096294
  2. J. Doyle K. Glover P. Khargonekar, B. Francis, State-space solutions to standard H 2 and H ∞ control, IEEE Trans. Automat. Control 34 (1989), 831-847. (1989) MR1004301
  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. (1993) Zbl0784.93040MR1224655
  4. E. Fridman, Decomposition of linear optimal singularly perturbed systems with time delay, Automat. Remote Control 51 (1990), 1518-1527. (1990) MR1093044
  5. E. Fridman, H ∞ -control of nonlinear singularly perturbed systems and invariant manifolds, Ann. Int. Society on Dynamic Games, Birkhauser 1995, to appear. (1995) Zbl0864.93041MR1413974
  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. (1988) Zbl0649.93023MR0950796
  7. K. Khalil, F. Chen, H ∞ -control of two-time-scale systems, Systems Control Lett. 19 (1992), 1, 35-42. (1992) MR1170985
  8. P. Kokotovic H. Khalil, J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design, Academic Press, New York 1986. (1986) MR0950486
  9. D. Luse, J. Ball, Frequency-scale decomposition of H ∞ -disk problems, SIAM J. Control Optim. 27 (1989), 814-835. (1989) MR1001921
  10. Z. Pan, T. Basar, H ∞ -optimal control for singularly perturbed systems. Part I: Perfect State Measurements, Automatica 2 (1993), 401-424. (1993) Zbl0782.49015MR1211296
  11. V. Sobolev, Integral manifolds and decomposition of singularly perturbed systems, Systems Control Lett. 5 (1984), 169-179. (1984) Zbl0552.93017MR0777849
  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. (1992) Zbl0755.93046MR1183114

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