Decentralized control and computations: Status and prospects

Annual Reviews in Control

Volumn 20, Issue , 1996, Pages 131-141

  Siljak D D ^a  

^a SANTA CLARA UNIVERSITY   (United States)

Author keywords

Decentralized control; Decompositions; Large scale systems; Optimal control; Stabilization

Indexed keywords

LARGE SCALE SYSTEMS; OPTIMAL CONTROL SYSTEMS; PARALLEL PROCESSING SYSTEMS; SYSTEM STABILITY;

SYSTEM DECOMPOSITION;

DECENTRALIZED CONTROL;

EID: 0030313375     PISSN: 13675788     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1367-5788(97)00011-4     Document Type: Article

References (82)

1. Alvarado, F. L. (1977). Sparsity in diakoptics algorithms. IEEE Transactions on Power Apparatus and Systems, 96, 1450-1459.
2. Bakule, L., and J. Rodellar (1995). Decentralized control and overlapping decomposition of mechanical systems. International Journal of Control, 61, 559-587.
3. Boyd, S., L. El Ghaoui, E. Feron and V. Balakrishnan (1994). Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, PA.
4. Brusin, V. A., and E. Yu. Ugrinovskaya (1992). Decentralized adaptive control with a reference model. Automatika i Telemekhanika, 10, 29-36.
5. Chae, S., and Z. Bien (1991). Techniques for decentralized control for interconnected systems. In: Control and Dynamic Systems (C. T. Leondes, Ed.), 41, 273-315. Academic Press, Boston, MA.
6. Chen, Y. H. (1989). Large-scale uncertain systems under insufficient decentralized controller. Transactions of the ASME, 111, 359-363.
7. Chen, Y. H. (1992). decentralized robust control design for large-scale uncertain systems: The uncertainty is time-varying. Journal of the Franklin Institute, 329, 25-36.
8. Chen Y. H., and M. C. Han (1993). Decentralized control design for interconnected uncertain systems. In: Control and Dynamic Systems (C. T. Leondes, Ed.), 56, 219-599, Academic Press, Orlando, Fl.
9. Cho, Y. J., Z. Bien and B. K. Kim (1989), Reliable control via an additive redundant controller. International Journal of Systems Science, 50, 385-398.
10. Erisman, A. M. (1981). Sparse matrix problems in electric power system analysis. In: Sparse Matrices and Their Uses (I. S. Duff, Ed.), 31-56, Academic Press, New York,
11. ∞ decentralized control problems. Automatica, 29, 457-463.
12. Datta, A. (1993). Performance improvement in decentralized adaptive control: A modified model reference scheme. IEEE Transactions on Automatic Control, 38, 1717-1722.
13. Feng, G., and Y. A. Jiang (1994). Variable structure based decentralized adaptive control. Proceedings of the American Control Conference, Baltimore, MD, 3409-3410.
14. Fleming, W. (1968). Optimal control of partially observable diffusions. SIAM Journal of Control, 6, 194-214.
15. Gajić, Z., and X. Shen (1993). Parallel Algorithms for Optimal Control of Large Scale Linear Systems. Springer-Verlag, Berlin, Germany.
16. Gavel, D. T., and D. D. Šiljak (1989). Decentralized adaptive control: Structural conditions for stability. IEEE Transactions on Automatic Control, 34, 413-426.
17. Geromel, J. C., J. Bernussou and P. L. D. Peres (1994). Decentralized control through parameter space optimization. Automatica, 30, 1565-1578.
18. Gündes, A. N., and M. G. Kabuli (1994). Reliable decentralized control. Proceedings of the American Control Conference, Baltimore, MD, pp. 3359-3363.
19. He, C., and V. Mehrmann (1994). Stabilization of large linear systems. Proceedings of the IEEE European Workshop on Computer Intensive Methods in Control and Signal Processing, Prague, Czech Republic, 91-100.
20. Heath, M. T., E. Ng and B. W. Peyton (1991). Parallel algorithms for sparse linear systems. SIAM Review, 33, 420-460.
21. Hmamed, A., and L. Radouane (1983). Decentralized nonlinear adaptive feedback stabilization of large-scale interconnected systems. Proceedings of IEE, 130-D, 57-62.
22. Iftar, A. (1993). Decentralized estimation and control with overlapping input, state, and output decomposition. Automatica, 29, 511-516.
23. Iftar, A., and Ü. Özgüner (1990). Contractible controller design and optimal control with state and input inclusion. Automatica, 26, 593-597.
24. Ikeda, M. (1989). Decentralized control of large scale systems. In: Three Decades of Mathematical System Theory (H. Nijmeijer and J. M. Schumacher, Ed.), 219. Springer-Verlag, New York.
25. Ikeda, M., and D. D. Šiljak (1986). Overlapping decentralized control with input, state, and output inclusion. Control-Theory and Advanced Technology, 2, 155-172.
26. Ikeda, M., D. D. Šiljak, and D. E. White (1981). Decentralized control with overlapping information sets. Journal of Optimization Theory and Applications, 34, 279-310.
27. Ioannou, P. (1986). Decentralized adaptive control of interconnected systems. IEEE Transactions on Automatic Control, AC-31, 281-298.
28. Ioannou, P., and P. V. Kokotović (1985). Decentralized adaptive control of interconnected systems with reduced-order models. Automatica, 21, 401-412.
29. Jaimoukha, I. M., and E. M. Kasenally (1994). Krylov sub-space methods for solving large Lyapunov equations. SIAM Journal on Numerical Analysis, 31, 227-251.
30. Jamshidi, M. (1983). Large-Scale Systems: Modeling and Control. North-Holland, New York.
31. Kalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5, 102-119.
32. Kamoun, M. (1995). Design of robust adaptive regulators for large-scale systems. International Journal of Control, 26, 47-63.
33. Kamoun, M., A. Titli and M. B. Kamoun (1992). Robust decentralized model reference adaptive control of discrete-time interconnected systems. International Journal of Control, 37, 1841-1856.
34. Khrustalev, M. M., and S. V. Savastyuk (1990). Conditions for optimality of stochastic systems of diffusion type in problems with constraints on the control-observation process. Soviet Mathematical Doklady, 41, 256-260.
35. Khurana, H., S. I. Ahson and S. S. Lamba (1988). On stabilization of large-scale control systems using variable structure system theory. IEEE Transactions on Automatic Control Systems, AC-31, 176-178.
36. Krotov, V. F. (1988). A technique of global bounds in optimal control theory. Control and Cybernetics, 17, 115-144.
37. Lakshmikantham, V., V. M. Matrosov and S. Sivasundaram (1991). Vector Liapunov Functions and Stability Analysis of Nonlinear Systems. Kluwer Publishers, The Netherlands.
38. Laub, A. J. (1994). Approximate solution of large sparse Lyapunov equations. IEEE Transactions on Automatic Control, 39, 1110-1114.
39. Leitmann, G. (1993). One approach to the control of uncertain systems. ASME Journal on Dynamic Systems, Measurement, and Control, 115, 373-380.
40. Leondes, C. T. (Ed.) (1985). Control and Dynamic Systems, Vols. 22-24. Academic Press, Orlando, Fl.
41. Lyou, J. (1995). Note on decentralized adaptive controller design. IEEE Transactions on Automatic Control, 40, 89-91.
42. Matthews, G. P., and R. A. DeCarlo (1988). Decentralized tracking for a class of interconnected nonlinear systems suing variable structure control. Automatica, 24, 187-193.
43. Medanić, J. V. (1993). Design of reliable controllers using redundant control elements. Proceedings of the American Control Conference, San Francisco, CA, pp. 3130-3134.
44. Mills, J. K. (1990). Stability of robotic manipulators during transition to and from compliant motion. Automation, 26, 861-874.
45. Mills, J. K., and A. A. Goldenberg (1988). Global connective stability of a class of robotic manipulators. Automatica, 24, 1988.
46. Ortega, R., and A. Herrera (1993). A solution to decentralized adaptive stabilization problem. System & Control Letters, 13, 299-306.
47. Özgüler, A. B. (1990). Decentralized control: A stable proper fractional approach. IEEE Transactions on Automatic Control Systems, 35, 1109-1117.
48. Park, S. H., and Z. Bien (1994). Design of reliable control systems for uncertain linear system. Proceedings of the Asian control Conference, Tokyo, Japan, pp. 101-104.
49. Reed, J. S., and P. Ioannou (1988). Discrete-time decentralized adaptive control. Automatica, 24, 419-421.
50. Sandell, N. R., Jr., P. Varaiya, M. Athans and M. G. Safonov (1978). Survey of decentralized control methods for large scale systems. IEEE Transactions on Automatic Control, AC-23, 108-128.
51. Sasaki, M., Y. Hayakawa, S. Fujii, K. Koizumi and T. Iwaki (1991). Finite dimensional decentralized control for interconnected distributed parameter systems. International Journal of Systems Science, 22, 955-968.
52. Sasaki, M., Y. Hayakawa, S. Fujii, K. Koizumi and T. Iwaki (1993). Finite-dimensional decentralized VS-MRAC of non-linear interconnected distributed parameter systems. International Journal of Systems Science, 24, 1165-1188.
53. Savastuk, S. V., and D. D. Šiljak (1994). Optimal decentralized control. Proceedings of the American Control Conference, Baltimore, MD, 2269-3373.
54. Sezer, M. E., and D. D. Šiljak (1986). Nested e-decompositions and clustering of complex systems. Automatica, 22, 321-331.
55. Sezer, M. E., and D. D. Šiljak (1991). Nested epsilon decompositions of linear systems: Weakly coupled and overlapping blocks. SIAM Journal on Matrix Analysts and Applications, 12 (521-533).
56. Shi, L., and S. K. Singh (1992). Decentralized adaptive controller design for large-scale systems with higher order interconnections. IEEE Transactions on Automatic Control, 37, 1106-1118.
57. Šiljak, D. D. (1980). Reliable control using multiple control systems. International Journal of Control, 31, 303-329.
58. Šiljak, D. D. (1983). Complex dynamic systems: Dimensionality, structure and uncertainty. Large Scale Systems, 4, 279-294.
59. Šiljak, D. D. (1978). Large-Scale Dynamic Systems: Stability and Structure. North-Holland, New York.
60. Šiljak, D. D. (1991). Decentralized Control of Comptez Systems. Academic Press, Boston, MA.
61. Singh, S. K., and L. Shi (1994). Robust adaptive controllers for interconnected mechanical systems: Influence of types of interconnections on time-invariant and time-varying systems. Journal of Dynamic Systems, Measurement and Control, 116, 456-473.
62. Tamura, H. and T. Yoshikawa (1990). Large-Scale Systems and Decision Making. Marcel-Dekker, New York.
63. Tan, X. L., and M. Ikeda (1990). Decentralized stabilization for expanding construction of large-scale systems. IEEE Transactions on Automatic Control, AC-35, 644-651.
64. Tan, X. L., D. D. Šiljak and M. Ikeda (1992). Reliable stabilization via factorization methods. IEEE Transactions on Automatic Control, 37, 1786-1791.
65. Trudnowski, D. J., and D. A. Pierre (1992). Decentralized indirect control scheme applicable to overlapping interconnected systems. International Journal of Control, 55, 343-360.
66. Veillette, R. J. (1995). Reliable linear-quadratic state-feedback control. Automatica, 31, 137-143.
67. Veillette, R. J., J. V. Medanić and W. R. Perkins (1992). Design of reliable control systems. IEEE Transactions on Automatic Control, 37, 290-304.
68. Veselý, V., and J. Murgaš (1993). Decentralized adaptive stabilization of nonlinear systems. International Journal of Control, 58, 1445-1460.
69. Vidyasagar, M., and N. Viswanadham (1985). Reliable stabilization using a multicontroller configuration. Automatica, 21, 599-602.
70. Wen, C. (1994). Decentralized Adaptive Regulation. IEEE Transactions on Automatic Control 39, 2163-2166.
71. Wiemer, P., and H. Unbehauen (1990). On the stability of decentralized adaptive control systems. International Journal of Adaptive Control & Signal Processing, 4, 1-16.
72. Wu, A. C., and L. C. Fu (1994). New decentralized MRAC algorithms for large-scale uncertain dynamic systems. Proceedings of the American Control Conference, Baltimore, MD, pp. 3389-3393.
73. Wu, A. C., L. C. Fu and C. F. Hsu (1993a). A new decentralized model reference adaptive control for a class of interconnected dynamic systems using variable structure design. International Journal of Adaptive Control and Signal Processing, 7, 33-43.
74. Wu, A. C., L. C. Fu and C. F. Hsu (1993b). A new robust decentralized MRAC with finite time perfect tracking properties for a class of interconnected MIMO Plants. Journal of Control Systems and Technology, 1, 33-42.
75. Wu, W., and C. Lin (1994). Optimal reliable control system design for steam generators in pressurized water reactors. Nuclear technology, 106, 216-224.
76. Wu, W., and C. Lin (1994). Optimal reliable control system design for steam generators in pressurized water reactors. Nuclear technology, 106, 216-224.
77. Yang, W. Y., and G. P. Papavassilopoulos (1994). Decentralized adaptive control in a game situation for discrete-time, linear, time-invariant systems. Proceedings of the American Control Conference, Baltimore, MD, pp. 2294-3399.
78. Yoshikawa, T., and M. Ikeda (1983). Decentralized adaptive control of large-scale systems - a parameter adaptation method. Electronics and Communications in Japan, 66-A, 955-961.
79. Zečević, A. I., and D. D. Šiljak (1994a). A block-parallel Newton method via overlapping epsilon decompositions. SIAM Journal on Matrix Analysis and Applications, 15, 824-844.
80. Zečević, A. I., and D. D. Šiljak (1994b). Balanced decompositions of sparse systems for multilevel parallel processing. IEEE Transactions on Circuits and Systems, 41, 220-233.
81. Zečević, A. I., and D. D. Šiljak (1995). A balanced decomposition algorithm for parallel solutions of very large sparse systems. Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, San Francisco, CA, 436-441.
82. Zhai, G., K. Yasuda and M. Ikeda (1994). Decentralized quadratic stabilization of large-scale systems. Proceedings of the 33rd Conference on Decision and Control, Orlando, FL (to appear).