A unified approach for designing robust linear feedback controllers

Jan Lunze

Kybernetika (1986)

  • Volume: 22, Issue: 3, page 226-243
  • ISSN: 0023-5954

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Lunze, Jan. "A unified approach for designing robust linear feedback controllers." Kybernetika 22.3 (1986): 226-243. <http://eudml.org/doc/28632>.

@article{Lunze1986,
author = {Lunze, Jan},
journal = {Kybernetika},
keywords = {robust multivariable controllers; comparison systems; time and frequency domains},
language = {eng},
number = {3},
pages = {226-243},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A unified approach for designing robust linear feedback controllers},
url = {http://eudml.org/doc/28632},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Lunze, Jan
TI - A unified approach for designing robust linear feedback controllers
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 3
SP - 226
EP - 243
LA - eng
KW - robust multivariable controllers; comparison systems; time and frequency domains
UR - http://eudml.org/doc/28632
ER -

References

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  1. J. Ackermann, Parameter space design of robust control systems, IEEE Trans. Automat. Control AC-25 (1980), 6, 1058-1072. (1980) Zbl0483.93041
  2. M. Araki, O. I. Nwokah, Bounds for closed-loop transfer functions of multivariable systems, IEEE Trans. Automat. Control AC-20 (1975), 5, 666 - 670. (1975) Zbl0316.93019MR0429199
  3. K. J. Åström, Robustness of design method based on assignment of poles and zeros, IEEE Trans. Automat. Control AC-25 (1980), 3, 588-591. (1980) MR0571784
  4. A. Y. Balakrishnan, Applied Functional Analysis, Springer-Verlag, New York 1976. (1976) Zbl0333.93051MR0470699
  5. A. Berman, P. R. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York 1973. (1973) MR0544666
  6. J. Bernussou, J. C. Geromel, Stability approach to robust control for interconnected systems, In: Handbook of Large Scale Systems Engineering Applications (M. G. Singh and A. Titli, eds.), North-Holland, Amsterdam 1979. (1979) MR0567643
  7. D. Carlccui, M. Vallauri, Feedback control of linear multivariable systems with uncertain description in the frequency domain, Internat. J. Control 33 (1981), 5, 803 - 812. (1981) 
  8. E. J. Davison, The robust control of a servomechanism problem for time-invariant multi-variable systems, IEEE Trans. Automat. Control AC-2I (1976), 1, 25-34. (1976) MR0406616
  9. J. C. Doyle, Achievable performance in multivariable feedback systems, IEEE Conf. Decision Control, Houston 1979, 250-251. (1979) 
  10. J. C. Doyle, G. Stein, Multivariable feedback design: concept for a classical/modern synthesis, IEEE Trans. Automat. Control AC-26 (1981), 1, 4-16. (1981) 
  11. C. A. Desoer, M. Vidyasagar, Feedback System. I/O-properties, Academic Press, New York 1975. (1975) MR0490289
  12. R. A. El-Attar, M. Vidyasagar, Subsystem simplification in large-scale systems analysis, IEEE Trans. Automat. Control AC-24 (1979) 2, 321-323. (1979) Zbl0399.93036MR0528530
  13. E. A. Freeman, Stability of linear constant multivariable systems. Contraction mapping approach, Proc. Inst. Electr. Engrs. 120 (1973), 5, 379-384. (1973) 
  14. B. Kouvaritakis, H. Latchman, Necessary and sufficient stability criterion for systems with structured uncertainties: the major principal direction alignment property, Internal. J. Control (to appear). 
  15. H. G. Kwatny, K. C. Kalnitzky, On alternative methodologies for the design of robust linear multivariable regulators, IEEE Trans. Automat. Control AC-23 (1978), 5, 930-933. (1978) 
  16. J. Lunze, Übersicht über die Verfahren zum Entwurf dezentraler Regler für lineare Systeme, Messen Steuern Regeln 23 (1980), 6, 315-322. (1980) 
  17. J. Lunze, Ein Verfahren zum Entwurf von Mehrgrößenreglern für unvollständig bekannte Regelstrecken, Messen Steuern Regeln 25 (1981), 8, 428-432. (1981) 
  18. J. Lunze, Notwendige Modellkenntnisse zum Entwurf robuster Mehrgrößenregler mit I-Charakter, Messen Steuern Regeln25 (1982), 11, 608-612. (1982) 
  19. J. Lunze, The design of robust feedback controllers for partly unknown systems by optimal control procedures, Internat. J. Control 36 (1982), 4, 611 - 630. (1982) 
  20. J. Lunze, Entwurf robuster Mehrgrößenregler bei beschränkter Modellunsicherheit, ZKI-Informationen Heft 4, Berlin: Akademie der Wissenschaften der DDR 1982 (available from the author). (1982) MR0775490
  21. J. Lunze, Eine Entwurfsstrategie für die dezentrale Regelung zur Störbekämpfung in gekoppelten Systemen, 27. Internat. Wiss. Kolloquium, Ilmenau (DDR), Part 1, 111-114. 
  22. J. Lunze, The design of robust feedback controllers in the time domain, Internat. J. Control 39 (1984), 6, 1243-1260. (1984) 
  23. J. Lunze, Robust Multivariable Feedback Control, ZKI-Informationen No. 3, Berlin: Akademie der Wissenschaften der DDR 1984 (available from the author). (1984) Zbl0576.93041
  24. J. Lunze, Ein Kriterium zur Überprüfung der Integrität dezentraler Mehrgrößerenregler, Messen Steuern Regeln 28 (1985), 6, 257-260. (1985) 
  25. J. Lunze, E. Zscheile, Analyse der Stabilität und des Übergangsverhaltens linearer Systeme mit beschränkter Parameterunsicherheit, Messen Steuern Regeln 28 (1985), 8, 365-369. (1985) 
  26. J. Lunze, Determination of robust multivariable I-controllers by means of experiments and simulation, System Anal. Model. Simul. 2 (1985), 3, 227-249. (1985) Zbl0569.93045MR0824473
  27. D. H. Owens, A. Chotai, Robust control of unknown discrete multivariable systems, IEEE Trans. Automat. Control AC-27 (1982), 1, 188- 190. (1982) Zbl0471.93010
  28. D. H. Owens, A. Chotai, Controller design for unknown multivariable systems using monotone modelling errors, Proc. Inst. Electr. Engrs. D-129 (1982), 3, 57-69. (1982) 
  29. D. H. Owens, A. Chotai, On eigenvalues eigenvectors and singular values in robust stability analysis, Internat. J. Control 40 (1984), 2, 285-296. (1984) Zbl0551.93056MR0758559
  30. R. V. Patel, N. Munro, Multivariable System Theory and Design, Pergamon Press, Oxford 1982. (1982) Zbl0475.93005MR0699277
  31. M. G. Safonov, Frequency domain design of multivariable control systems for insensitivity to large plant modeling errors, IEEE Conf. Decision Control, Fort Lauderdale 1979, 247-249. (1979) MR0599954
  32. M. G. Safonov, Robustness of Multivariable Feedback Systems, MIT Press, Cambridge, Mass. 1980. (1980) Zbl0552.93002
  33. M. G. Safonov, Stability margins of diagonally perturbed multivariable feedback, systems, IEEE Conf. Decision Control, San Diego 1981, 1472-1478. (1981) Zbl0505.93057MR0685110
  34. M. G. Safonov, M. Athans, Gain and phase margin for multiloop LQG-regulators, IEEE Trans. Automat. Control. AC-22 (1977), 2. 173-179. (1977) Zbl0356.93016MR0462748
  35. J. Schröder, Lineare Operatoren mit positiver Inversen, Arch. Rat. Mech. Anal. 8 (1961), 408-434. (1961) MR0136040
  36. M. E. Sezer, D. D. Šiljak, Robustness of suboptimal control: gain and phase margin, IEEE Conf. Decision Control, Albuquerque 1980, 878-884. (1980) MR0635848
  37. D. D. Šiljak, Large Scale Dynamic Systems, North-Holland, New York 1978. (1978) MR0595867
  38. M. Vidyasagar, Nonlinear Systems Analysis, Prentice Hall, Englewood Cliffs 1978. (1978) 
  39. J. Weissenberger, Tolerance of decentrally optimal controllers to nonlinearity and coupling, 12. Allerton Conf., Illinois 1974. (1974) 

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