Decentralized control and computations: status and prospects

Abstract The objective of this paper is to review the past and present activities in the area of decentralized control of large scale interconnected systems, with an emphasis on dimensionality, information structure constraints, and uncertainty. A number of interesting topics for future research will be discussed in this context. Special attention will be focused on decompositions of large scale systems, because of their potential in providing the integration of decentralized control and parallel computation using modern multiprocessor architectures.

[1]  D. Siljak,et al.  Reliable stabilization via factorization methods , 1992 .

[2]  Michael T. Heath,et al.  Parallel Algorithms for Sparse Linear Systems , 1991, SIAM Rev..

[3]  Petar V. Kokotovic,et al.  Decentralized adaptive control of interconnected systems with reduced-order models , 1985, Autom..

[4]  Michael Athans,et al.  Survey of decentralized control methods for large scale systems , 1978 .

[5]  Lin Shi,et al.  Robust adaptive controllers for interconnected mechanical systems : influence of types of interconnections on time-invariant and time-varying systems , 1994 .

[6]  Petros A. Ioannou,et al.  Discrete-time decentralized adaptive control , 1988, Autom..

[7]  Zeungnam Bien,et al.  Reliable control via an additive redundant controller , 1989 .

[8]  A. Ozguler Decentralized control: a stable proper fractional approach , 1990 .

[9]  A.N. Gundes,et al.  Reliable decentralized control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[10]  Heinz Unbehauen,et al.  On the stability of decentralized discrete adaptive control systems , 1990 .

[11]  William R. Perkins,et al.  Design of reliable control systems , 1992 .

[12]  S. Shankar Sastry,et al.  Zero dynamics of regularly perturbed systems may be singularly , 1989 .

[13]  D. J. Trudnowski,et al.  Decentralized indirect adaptive control scheme applicable to overlapping interconnected systems , 1992 .

[14]  A. Titli,et al.  Robust decentralized model reference adaptive control of discrete-time interconnected systems , 1992 .

[15]  Petros A. Ioannou Decentralized adaptive control of interconnected systems , 1986 .

[16]  Ye-Hwa Chen,et al.  Decentralized Control Design for Interconnected Uncertain Systems , 1993 .

[17]  Yoshikazu Hayakawa,et al.  Finite-dimensional decentralized VS-MRAC of non-linear interconnected distributed parameter systems , 1993 .

[18]  D. Siljak,et al.  A Block-Parallel Newton Method Via OverlappingEpsilon Decompositions , 1994 .

[19]  Dragoslav D. Šiljak,et al.  Reliable control using multiple control systems , 1980 .

[20]  A. Laub,et al.  Approximate solution of large sparse Lyapunov equations , 1994, IEEE Trans. Autom. Control..

[21]  Z. Gajic,et al.  Parallel Algorithms for Optimal Control of Large Scale Linear Systems , 1993 .

[22]  Gang Feng,et al.  Variable structure based decentralized adaptive control , 1994 .

[23]  Joon Lyou Note on decentralized adaptive controller design , 1995 .

[24]  Pedro Luis Dias Peres,et al.  Decentralized control through parameter space optimization , 1994, Autom..

[25]  Zeungnam Bien,et al.  Techniques for Decentralized Control for Interconnected Systems , 1991 .

[26]  Mathukumalli Vidyasagar,et al.  Reliable stabilization using a multi-controller configuration , 1983, The 22nd IEEE Conference on Decision and Control.

[27]  Joe H. Chow,et al.  A parametrization approach to optimal H∞ and H2 decentralized control problems , 1993, 1992 American Control Conference.

[28]  Donald T. Gavel,et al.  Decentralized adaptive control: structural conditions for stability , 1989 .

[29]  James K. Mills,et al.  Stability of robotic manipulators during transition to and from compliant motion , 1990, Autom..

[30]  Li-Chen Fu,et al.  New decentralized MRAC algorithms for large-scale uncertain dynamic systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[31]  Wendell H. Fleming,et al.  Optimal Control of Partially Observable Diffusions , 1968 .

[32]  Li-Chen Fu,et al.  A new decentralized model reference adaptive control for a class of interconnected dynamic systems using variable structure design , 1993 .

[33]  Lin Shi,et al.  Decentralized adaptive controller design for large-scale systems with higher order interconnections , 1992 .

[34]  Dragoslav D. Siljak,et al.  A Balanced Decomposition Algorithm for Parallel Solutions of Very Large Sparse Systems , 1995, PPSC.

[35]  Masao Ikeda,et al.  Decentralized control of large scale systems , 1989 .

[36]  Wencheng Wu,et al.  Optimal reliable control system design for steam generators in pressurized water reactors , 1994 .

[37]  J. V. Medanic,et al.  Design of Reliable Controllers Using Redundant Control Elements , 1993, 1993 American Control Conference.

[38]  David M. Auslander,et al.  Control and dynamic systems , 1970 .

[39]  Altug Iftar,et al.  Decentralized estimation and control with overlapping input, state, and output decomposition , 1990, Autom..

[40]  I. Jaimoukha,et al.  Krylov subspace methods for solving large Lyapunov equations , 1994 .

[41]  Raymond A. DeCarlo,et al.  Decentralized tracking for a class of interconnected nonlinear systems using variable structure control , 1988, Autom..

[42]  R. E. Kalman,et al.  Contributions to the Theory of Optimal Control , 1960 .

[43]  Y. H. Chen Decentralized robust control design for large-scale uncertain systems: The uncertainly is time-varying , 1992 .

[44]  D. Siljak,et al.  Nested epsilon decompositions of linear systems: weakly coupled and overlapping blocks , 1991 .

[45]  C. Wen Decentralized adaptive regulation , 1994, IEEE Trans. Autom. Control..

[46]  D. Siljak,et al.  Decentralized control with overlapping information sets , 1981 .

[47]  G. Leitmann On One Approach to the Control of Uncertain Systems , 1993 .

[48]  D. Siljak,et al.  Balanced decompositions of sparse systems for multilevel parallel processing , 1994 .

[49]  D. Siljak Complex Dynamic Systems: Dimensionality, Structure and Uncertainty , 1983 .

[50]  Miloje S. Radenkovic,et al.  Decentralized stochastic adaptive control of interconnected systems , 1990 .

[51]  Dragoslav D. Šiljak,et al.  Large-Scale Dynamic Systems: Stability and Structure , 1978 .

[52]  Aniruddha Datta Performance improvement in decentralized adaptive control: a modified model reference scheme , 1993 .

[53]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[54]  Guisheng Zhai,et al.  Decentralized quadratic stabilization of large-scale systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[55]  F.L. Alvarado,et al.  Sparsity in diakoptic algorithms , 1977, IEEE Transactions on Power Apparatus and Systems.

[56]  Mohamed Kamoun,et al.  Design of robust adaptive regulators for large-scale systems , 1995 .

[57]  Andrew A. Goldenberg,et al.  Global connective stability of a class of robotic manipulators , 1988, Autom..

[58]  V. Veselý,et al.  Decentralized adaptive stabilization of nonlinear systems , 1993 .

[59]  Altug Iftar,et al.  Contractible controller design and optimal control with state and input inclusion , 1990, Autom..

[60]  Dragoslav D. Šiljak,et al.  Optimal decentralized control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[61]  R. Ortega,et al.  A solution to the decentralized adaptive stabilization problem , 1993 .

[62]  Robert J. Veillette,et al.  Reliable linear-quadratic state-feedback control , 1995, Autom..

[63]  Yoshikazu Hayakawa,et al.  Finite-dimensional decentralized adaptive control for interconnected distributed parameter systems , 1991 .

[64]  I. Duff Sparse Matrices and Their Uses. , 1983 .

[65]  Masao Ikeda,et al.  Decentralized stabilization for expanding construction of large-scale systems , 1990 .

[66]  J. Rodellar,et al.  Decentralized control and overlapping decomposition of mechanical systems–Part 1. System decomposition , 1995 .

[67]  John R. Beaumont,et al.  Large-Scale Systems: Modeling and Control , 1983 .

[68]  V. Krotov A Technique of Global Bounds in Optimal Control Theory , 1988 .

[69]  Dragoslav D. Siljak,et al.  Nested ε-decompositions and clustering of complex systems , 1986, Autom..

[70]  George P. Papavassilopoulos,et al.  Decentralised adaptive control in a game situation for discrete-time, linear, time-invariant systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.