Decentralized design of feedback control for large-scale systems

Lubomír Bakule; Jan Lunze

Kybernetika (1988)

  • Volume: 24, Issue: Suppl2, page (1)-96
  • ISSN: 0023-5954

How to cite

top

Bakule, Lubomír, and Lunze, Jan. "Decentralized design of feedback control for large-scale systems." Kybernetika 24.Suppl2 (1988): (1)-96. <http://eudml.org/doc/28404>.

@article{Bakule1988,
author = {Bakule, Lubomír, Lunze, Jan},
journal = {Kybernetika},
keywords = {surveys; decentralized control; structural constraints; design process; sequential methods; overlapping decomposition; singular perturbations},
language = {eng},
number = {Suppl2},
pages = {(1)-96},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Decentralized design of feedback control for large-scale systems},
url = {http://eudml.org/doc/28404},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Bakule, Lubomír
AU - Lunze, Jan
TI - Decentralized design of feedback control for large-scale systems
JO - Kybernetika
PY - 1988
PB - Institute of Information Theory and Automation AS CR
VL - 24
IS - Suppl2
SP - (1)
EP - 96
LA - eng
KW - surveys; decentralized control; structural constraints; design process; sequential methods; overlapping decomposition; singular perturbations
UR - http://eudml.org/doc/28404
ER -

References

top
  1. J. Ackermann, Parameter space design of robust control systems, IEEE Trans. Automat. Control AC-25 (1981), 6, 1058-1072. (1981) 
  2. T. Amemiya, On the stability of nonlinear interconnected systems, Internat. J. Control 34 (1981), 3, 513-527. (1981) MR0631294
  3. B. D. O. Anderson, D. J. Clements, Algebraic characterization of fixed modes in decentralized control, Automatica 17 (1981), 5, 703-712. (1981) Zbl0469.93014MR0632846
  4. N. Andrei, Sparse Systems -- Digraph Approach of Large-Scale Linear Systems Theory, Verlag TÜV Rheinland, Köln 1985. (1985) Zbl0579.93004MR0938517
  5. M. Aoki, Aggregation, In: Optimization Methods for Large-Scale Systems. McGraw-Hill, New York 1971. (1971) 
  6. M. Aoki, On aggregation of similar dynamic systems, In: Handbook of Large Scale Systems Engineering Applications. North-Holland, Amsterdam 1979. (1979) MR0567639
  7. F. N. Bailey, Information problems in decentralized control systems, 18th Asilomar Conference, Pacific Grove 1978, 385-389. (1978) 
  8. L. Bakule, Two-level control generation of multiarea electric energy systems, In: IMACS Symposium on Simulation of Control Systems, North-Holland, Amsterdam 1978, 161-163. (1978) 
  9. L. Bakule, On decentralized large-scale dynamic system control, In: Third Formator Symposium. Academia, Prague 1979, 205-218. (1979) Zbl0492.93006MR0597522
  10. L. Bakule, On the overlapping decomposition of dynamic systems, In: System Analysis and Simulation. Akademie-Verlag, Berlin 1985, Band 27/1, 263-266. (1985) Zbl0632.93004MR0822554
  11. L. Bakule, J. Lunze, Completely decentralized design of decentralized controllers for serially interconnected systems, 30. IWK TH Ilmenau, Ilmenau (GDR) 1985, H. 1, 15-18. (1985) 
  12. L. Bakule, J. Lunze, Sequential design of robust decentralized controllers for serially interconnected systems, Problems Control Inform. Theory 15 (1986), 2, 167-177. (1986) Zbl0624.93004
  13. L. Bakule, J. Lunze, Rechnergestützter Entwurf von Regelungssystemen unter Verwendung der LQ-Regelung, msr 7 (1986), 292-198. (1986) 
  14. L. Bakule, Reliable controllers for serially interconnected systems, In: 2nd European Workshop on Fault Diagnostics, Reliability and Related Knowledge-Based Approaches. Pergamon Press, Oxford 1987. (1987) 
  15. L. Bakule, Robust control for uncertain large sparse systems, In: 4th Conference System Modelling, Optimization and Control. Wiss. Z. der TH Leipzig 1987 (in print). (1987) 
  16. G. V. Baliga, M. V. C. Rao, On symmetric and unity interconnections between three nonlinear subsystems, Automatica 16 (1980), 6, 711-713. (1980) Zbl0459.93010MR0607190
  17. W. H. Bennet, J. S. Baras, Block diagonal dominance and design of decentralised compensators, In: 2nd IFAC Symposium Large Scale Systems: Theory and Applications. Pergamon Press, Oxford 1980, 93-101. (1980) MR0710514
  18. A. R. Bergen, Results on complementary coupling of similar systems, Internat. Symposium on Circuits and Systems, Tokyo 1979, 412-414. (1979) 
  19. J. H. Chow, P. V. Kokotovič, A decomposition of near-optimum regulators for systems with slow and fast modes, IEEE Trans. Automat. Control AC-21 (1976), 5, 701-705. (1976) MR0528768
  20. J. H. Chow, P. V. Kokotovič, Eigenvalue placement in two-time-scale systems, Proc. IFAC Symposium Large Scale Systems Theory and Applications, Udine 1976, 321-326. (1976) 
  21. G. Cohen, A. Benveniste, Decentralization without coordination, Ricerche di Automatica 5 (1974), 1, 16-29. (1974) 
  22. H. Darwish H. M. Soliman, J. Fantin, Decentralized stabilization of large-scale dynamic systems, IEEE Trans. Systems Man Cybernet. SMC-9 (1979), 11, 717-720. (1979) MR0550029
  23. E. J. Davison, Multivariable tuning regulators: the feedforward and robust control of a general servomechanism problem, IEEE Trans. Automat. Control AC-21 (1976), 1, 35-47. (1976) Zbl0331.93030MR0484643
  24. E. J. Davison, Decentralized robust control of unknown systems using tuning regulators, IEEE Trans. Automat. Control AC-23 (1978), 2, 276-289. (1978) Zbl0377.93029MR0497073
  25. E. J. Davison, N. K. Tripathi, Decentralized tuning regulators: an application to solve the load and frequency control problem for a large power system, Large Scale Systems 1 (1980), 1, 3-15. (1980) Zbl0448.93007MR0617151
  26. E. J. Davison, U. Özgüner, Characterization of decentralized fixed modes for interconnected systems, Automatica 19 (1983), 2, 169-182. (1983) MR0703389
  27. C. A. Desoer, M. J. Shensa, Networks with very small and very large parasitics: natural frequencies and stability, Electronics Research Lab., Memo ERL-M 276, Univ. of Calif., Berkley 1970. (1970) 
  28. F. Donati, A dynamic upper bound of the uncertainty in linear system approximation, In: Theory and Application of Variable Structure Systems. Academic Press, New York 1972, 95-108. (1972) MR0411756
  29. W. Findeisen, Decentralized and hierarchical control under consistency for disagreement of interests, Automatica 18 (1982), 6, 647-664. (1982) MR0693491
  30. G. Fiorio, A. Villa, A comparative analysis and evaluation of decentralized control structures, In: 4th IFAC Symposium Large Scale System: Theory and Applications. Pergamon Press, Oxford 1986, 363-367. (1986) 
  31. T. Gamaleja C. Hoy J. Lunze, H.-H. Wilfert, Decentralized voltage control in electric power systems, Preprints IFAC 9th World Congress, Budapest 1984, 184-172. (1984) 
  32. J. C. Geromel, J. Bernussou, Optimal decentralized control of dynamic systems, Automatica 18 (1982), 5, 545-557. (1982) Zbl0499.49014MR0693487
  33. P. Grosdidier M. Morari, B. R. Holt, Integral controllability, failure tolerance, robustness and the relative gain array, American Control Conference, San Diego 1984, 1280-1295. (1984) 
  34. D. Himmelblau, Decomposition of Large Scale Problems, North-Holland, Amsterdam 1973. (1973) Zbl0254.90002MR0456435
  35. Y. C. Ho, T. S. Chang, Another look at the nonclassical information structure problem, IEEE Trans. Automat. Control AC-25 (1980), 3, 537-540. (1980) Zbl0435.90110MR0571764
  36. M. Hodzic, D. D. Siljak, Estimation and control of large sparse systems, Automatica 21 (1985), 3, 277-292. (1985) Zbl0585.93003
  37. M. Hodzic, D. D. Siljak, Decentralized estimation and control with overlapping information sets, IEEE Trans. Automat. Control AC-31 (1986), 1, 83-86. (1986) Zbl0584.93006MR0822376
  38. M. Ikeda, S. Kodama, Large-scale dynamic systems: state equations, Lipschitz conditions, and linearization, IEEE Trans. Circuit Theory CT-20 (1973), 2, 123-202. (1973) MR0368840
  39. M. Ikeda, D. D. Siljak, Overlapping decompositions, expansions and contractions of dynamic systems, Large Scale Systems 1 (1980), 1, 29-38. (1980) Zbl0443.93009MR0617153
  40. M. Ikeda D. D. Siljak, D. E. White, An inclusion principle for dynamic systems, IEEE Trans. Automat. Control AC-29 (1984), 3, 244-249. (1984) MR0739610
  41. M. Ikeda, D. D. Siljak, Overlapping decomposition of the vehicle-control problem, Preprints IFAC 9th World Congress, Budapest 1984, 167-172. (1984) 
  42. P. Ioannou, P. Kokotovic, Decentralized adaptive control of interconnected systems with reduced-order models, Automatica 21 (1985), 4, 401-412. (1985) Zbl0571.93037MR0798185
  43. L. Isaksen, M. Payne, Suboptimal control of linear systems by augmentation with application to freeway traffic regulation, IEEE Trans. Automat. Control AC-18 (1973), 3, 210-219. (1973) 
  44. M. Jamshidi, Large Scale Systems. Modeling and Control, North-Holland, Amsterdam-New York 1983. (1983) Zbl0646.93003
  45. H. K. Khalil, P. V. Kokotovic, Control strategies for decision makers using different models of the same system, IEEE Trans. Automat. Control AC-23 (1978), 2, 289-298. (1978) Zbl0384.93007MR0497083
  46. H. K. Khalil, Time scale decomposition of linear implicit singularly perturbed systems, IEEE Trans. Automat. Control AC-29 (1984), 11, 1054-1056. (1984) Zbl0547.93022MR0764707
  47. P. V. Kokotovic R. E. O'Malley, P. Sannuti, Singular perturbations and order reduction in control theory - an overview, Automatica 12 (1976), 2, 123-132. (1976) MR0395949
  48. P. V. Kokotovic, Subsystems, time scales, and multimodeling, Automatica 17 (1981), 6, 789-795. (1981) Zbl0485.93007
  49. U. Korn, A decentralized control system for a destination column, Preprints IFAC 9th World Congress, Budapest 1984, III., 92-97. (1984) 
  50. R. Krtolica, A singular perturbation model of reliability in systems control, Automatica 20 (1984), 1, 51-57. (1984) Zbl0539.93085
  51. 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) 
  52. G. S. Ladde, D. D. Siljak, Multiparameter singular perturbations of linear systems with multiple time scales, Automatica 19 (1983), 4, 385-394. (1983) Zbl0513.93004MR0716052
  53. S. Lefebvre S. Richter, R. DeCarlo, Decentralized variable structure control design for a two-pendulum system, IEEE Trans. Automat. Control AC-28 (1983), 12, 1112-1114. (1983) 
  54. W. S. Levine, M. Athans, On the optimal error regulation of a string of moving vehicles, IEEE Trans. Automat. Control AC-11 (1966), 4, 355-361. (1966) 
  55. W. S. Levine, M. Athans, On the determination of the optimal constant output feedback gains for linear multivariable systems, IEEE Trans. Automat. Control AC-15 (1970), 1, 44-48. (1970) MR0274138
  56. R. H. Li, M. G. Singh, Information structures in deterministic decentralized control problems, IEEE Trans. Systems Man Cybernet. SMC-13 (1983), 12, 1162-1166. (1983) Zbl0536.90110
  57. A. Linnemann, Decentralized control of dynamically interconnected systems, IEEE Trans. Automat. Control AC-29 (1984), 11, 1052-1054. (1984) Zbl0547.93005
  58. L. Litz, Dezentrale Regelung, Oldenbourg-Verlag, München 1983. (1983) 
  59. A. Locatelli F. Romeo F. Scattolini, N. Schiavoni, A parameter optimization approach to the design of reliable robust decentralized regulators, 3rd IFAC Symposium Large Scale Systems: Theory and Applications, Warsaw 1983, 291-296. (1983) 
  60. A. Locatelli R. Scattolini, N. Schiavoni, On the design of reliable robust decentralized regulators for linear systems, Large Scale Systems 10 (1986), 2, 95-113. (1986) 
  61. D. P. Looze J. S. Freudenberg, J. B. Cruz, Conditions for simultaneous achievement of local and global feedback objectives with multiple controllers, IEEE Conf. Decision and Control, Orlando 1982, 611-615. (1982) 
  62. J. Lunze, Übersicht über die Verfahren zum Entwurf dezentraler Regler für lineare Systeme, msr 23 (1980), 6, 315-322. (1980) 
  63. J. Lunze, Ein Verfahren zur Stabilitätsprüfung für gekoppelte Systeme bei fehlerbehaftetem Modell, msr 23 (1980), 7, 374-378. (1980) 
  64. J. Lunze, Entwurf robuster Mehrgrössenregler bei beschränkter Modellunsicherheit, ZKI Informationen 4 (1982), Akademie der Wissenschaften der DDR, Berlin, 1-118. (1982) 
  65. 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) 
  66. J. Lunze, Evaluation of the I/O-behaviour of large scale dynamical systems by means of a generalized majorization principle, In: Fourth Formator Symposium. Academia, Prague 1983, 325-341. (1983) Zbl0524.93009
  67. J. Lunze, Decentralized design of decentralized controllers for incompletely known composite systems, 3rd IFAC Symposium Large Scale Systems: Theory and Applications. Warsaw 1983, 297-302. (1983) 
  68. J. Lunze, Untersuchung der Autonomie der Teilregler einer dezentralen Regelung mit I-Charakter, msr 26 (1983), 8, 651-655. (1983) 
  69. J. Lunze, The design of robust feedback controllers in the time domain, Internat. J. Control 39 (1984), 6, 1243-1260. (1984) 
  70. J. Lunze, Stability analysis of large scale systems composed of strongly coupled similar subsystems, 10th IFAC-Congress, Munich 1987, vol. 6. (1987) 
  71. J. Lunze, Zwei Ansätze für den dezentralen Entwurf dezentraler Regler unter Berücksichtigung der Teilsystemverkopplungen, msr 28 (1985), 9, 386-390. (1985) 
  72. J. Lunze, E. Zscheile, Analyse der Stabilität und des Übergangsverhaltens linearer Systeme mit beschränkter Parameterunsicherheit, msr 28 (1985), 8, 365-369. (1985) 
  73. J. Lunze, Dynamics of strongly coupled symmetric composite systems, Internat. J. Control 44 (1986), 6, 1617-1640. (1986) Zbl0608.93006
  74. J. Lunze, Decentralized control of strongly coupled symmetric composite systems, Internat. J. Control (1987) (submitted). (1987) 
  75. J. Lunze, Robust Multivariable Feedback Control, Akademie-Verlag, Berlin 1988. (1988) MR1031716
  76. E. F. Mageirou, Y. C. Ho, Decentralized stabilization via game theoretic methods, Automatica 13 (1977), 4, 393-399. (1977) Zbl0358.93030
  77. A. K. Mahalanabis, P. Singh, On decentralised feedback stabilisation of large-scale interconnected systems, Internat. J. Control 32 (1980), 1, 115-126. (1980) MR0580195
  78. K. Malinowski, M. G. Singh, Controllability and observability of expanded systems with overlapping decomposition, Automatica 21 (1985), 2, 203-208. (1985) MR0788964
  79. A. N. Michel, R. K. Miller, Qualitative Analysis of Large Scale Dynamic Systems, Academic Press, New York 1977. (1977) MR0444204
  80. M. Morari, Robust stability of systems with integral control, 22nd IEEE Conf. Decision and Control, San Antonio 1983. (1983) 
  81. O. D. I. Nwokah, A recurrent issue on the extended Nyquist array, Internat. J. Control 31 (1980), 3, 606-614. (1980) Zbl0434.93047MR0570711
  82. O. D. I. Nwokah, Synthesis of controllers for uncertain multivariable plants for prescribed time-domain tolerances, Internat. J. Control 40 (1984), 6, 1189-1209. (1984) Zbl0568.93024
  83. Ü. Özgüner, W. R. Perkins, Optimal control of multilevel large-scale systems, Internat. J. Control 28 (1978), 6, 967-980. (1978) MR0528373
  84. Ü. Özgüner, Near optimal control of composite systems: the multi time-scale approach, IEEE Trans. Automat. Control AC-24 (1979), 4, 652-655. (1979) MR0538832
  85. G. M. Peponides, P. V. Kokotovič, Weak connections, time scales, and aggregation of nonlinear systems, IEEE Trans. Automat. Control AC-28 (1983), 6, 729-735. (1983) MR0713899
  86. V. Pichai M. E. Sezer, D. D. Šiljak, A graph-theoretical algorithm for hierarchical decomposition of dynamic systems with application to estimation and control, IEEE Trans. Systems Man Cybernet. SMC-13 (1983), 2, 197-207. (1983) MR0711694
  87. V. Pichai M. E. Sezer, D. D. Šiljak, A graph-theoretic characterization of structurally fixed modes, Automatica 20 (1984), 2, 247-250. (1984) 
  88. B. Porter, A. T. Shenton, Singular perturbation methods of asymptotic eigenvalue assignment in multivariable linear systems, Internat. J. Systems Sci. 6 (1975), 1, 33-37. (1975) Zbl0291.93015MR0418993
  89. H. H. Rosenbrock, Computer-Aided Control Systems Design, Academic Press, London 1974. (1974) 
  90. V. R. Saksena J. O'Reilly, P. V. Kokotovič, Singular perturbations and time-scale methods in control theory: survey 1976-1983, Automatica 20 (1984), 3, 273-293. (1984) MR0748193
  91. N. R. Sandell, Jr. P. Varaiya M. Athans, M. G. Safonov, Survey of decentralized control methods for large scale systems, IEEE Trans. Automat. Control AC-23 (1978), 2, 108-128. (1978) MR0490108
  92. M. E. Sezer, D. D. Šiljak, On structural decomposition and stabilization of large-scale control systems, IEEE Trans. Automat. Control AC-26 (1981), 2, 439-444. (1981) MR0613550
  93. M. E. Sezer, D. D. Šiljak, On decentralized stabilization and structure of linear large-scale systems, Automatica 17 (1981), 7, 641-644. (1981) MR0628787
  94. D. D. Šiljak, Large Scale Dynamic Systems: Stability and Structure, North-Holland, New York 1978. (1978) MR0595867
  95. D. D. Šiljak, Reliable control using multiple control systems, Internat. J. Control 31 (1980), 2, 303-329. (1980) MR0565925
  96. D. D. Šiljak, Complex dynamic systems: dimensionality, structure, and uncertainty, Large Scale Systems 4 (1983), 4, 279-294. (1983) 
  97. M. G. Singh, A. Titli, Systems: Decomposition, Optimization and Control, Pergamon Press, Oxford 1978. (1978) 
  98. M. G. Singh., Decentralised Control, North-Holland, Amsterdam 1981. (1981) Zbl0498.93001
  99. M. K. Sundareshan, P. C. K. Huang, On the design of a decentralised observation scheme for large-scale systems, IEEE Trans. Automat. Control AC-29 (1984), 3, 274-276. (1984) MR0739614
  100. R. R. Tenney, N. R. Sandell, Strategies for distributed decision-making, IEEE Trans. Systems Man Cybernet. SMC-11 (1981), 7, 527-538. (1981) 
  101. R. R. Tenney, N. R. Sandell, Structures for distributed decision making, IEEE Trans. Systems Man Cybernet. SMC-11 (1981), 7, 517-527. (1981) 
  102. R. P. Tewarson, Sparse Matrices, Academic Press, New York 1973. (1973) Zbl0262.65021MR0362875
  103. H. Tokumaru N. Adachi, T. Amemiya, Macroscopic stability of interconnected systems, Proc. IFAC 6th World Congress, Boston 1975, p. 44.4. (1975) MR0683123
  104. J. N. Tsitsiklis, M. Athans, On the complexity of decentralized decision making and detection problems, IEEE Trans. Automat. Control AC-30 (1985), 5, 440-446. (1985) Zbl0556.90036MR0789690
  105. P. Varaiya, N-person nonzerosum differential games with linear dynamics, SIAM J. Control 8 (1970), 4, 441-449. (1970) MR0278761
  106. V. Veselý J. Murgaš J. Bízik, J. Gatial, Decentralized control of dynamic linear system, Preprints IFAC 8th World Congress, Kyoto 1981, 1265-1269. (1981) 
  107. M. Vidyasagar, Input-Output Analysis of Large-Scale Interconnected Systems, Springer-Verlag, Berlin--Heidelberg--New York 1981. (1981) Zbl0454.93002MR0616451
  108. M. Vidyasagar, N. Viswanadham, Reliable stabilization using a multi-controller configuration, Automatica 21 (1985), 5, 699-702. (1985) 
  109. M. Vidyasagar, N. Viswanadham, Algebraic design technique for reliable stabilization, IEEE Trans. Automat. Control AC-27 (1982), 5, 1085-1095. (1982) MR0696302
  110. M. Vidyasagar, Robust stabilization of singularly perturbed systems, Systems Control Lett. 5 (1985), 6, 413-418. (1985) Zbl0564.93059MR0792612
  111. N. Viswanadham, J. H. Taylor, Sequential design of large-scale decentralized control systems, INSDOC Regional Centre, Bangalore, Preprint 1986. (1986) 
  112. A. A. Voronov, Vvedenie v dinamiku slozhnych upravljajemych sistem, Nauka, Moscow 1985. (1985) MR0804612
  113. S. H. Wang, E. J. Davison, On the stabilization of decentralized control systems, IEEE Trans. Automat. Control AC-18 (1973), 5, 373-479. (1973) Zbl0347.93030MR0441480
  114. G. S. West-Vukovich E. J. Davison, P. C. Huges, The decentralized control of large flexible space structures, IEEE Trans. Automat. Control AC-29 (1984), 10, 866-879. (1984) 
  115. D. C. Youla J. J. Bongiorno, C. N. Lu, Single-loop feedback stabilization of linear multivariable dynamical plants, Automatica 10 (1974), 2, 159-173. (1974) MR0490293
  116. G. Zames, D. Bensoussan, Multivariable feedback, sensitivity, and decentralized Control, AC-28 (1983), 11, 1030-1035. (1983) Zbl0532.93019MR0722353

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.