Multilevel Systems Control and Applications: A Survey

There are four main objectives of this survey. First, the general theory of multilevel systems is outlined, and basic related issues are presented. Second, the literature on the research topics that utilize the fundamental concepts, structures, and methodologies of multilevel systems is classified and documented. Third, principal features, advantages, and limitations as pertinent to various practical applications are pointed out. Finally, extensions to other research areas as well as prospects for future investigations are delineated.

[1]  George B. Dantzig,et al.  Decomposition Principle for Linear Programs , 1960 .

[2]  M. D. Mesarovic,et al.  Self-Organizing Control Systems , 1964, IEEE Transactions on Applications and Industry.

[3]  Gino J. Coviello.  An organizational approach to the optimization of multivariate systems , 1964 .

[4]  C. Sprague.  On the reticulation problem in multivariable control systems , 1964 .

[5]  J. L. Sanders.  Multilevel Control , 1964, IEEE Transactions on Applications and Industry.

[6]  J. L. Sanders.  A Nonlinear Decomposition Principle , 1965 .

[7]  L. Lasdon,et al.  A multi-level technique for optimization , 1965 .

[8]  M. D. Mesarovic,et al.  A multilevel structure for a class of linear dynamic optimization problems , 1965 .

[9]  R. C. Durbeck,et al.  Control model simplification using a two-level decomposition technique , 1965 .

[10]  Leon S. Lasdon,et al.  Feasible optimization methods for interconnected systems , 1965 .

[11]  Mihajlo D. Mesarovic,et al.  Uncertainties and Optimal Control Approach to Feedback Control Problems , 1965, Inf. Control..

[12]  J. D. Pearson.  On the Duality between Estimation and Control , 1966 .

[13]  R. Kulikowski.  Optimum Control of Multidimensional and Multilevel Systems , 1966 .

[14]  J. D. Pearson.  Duality and a Decomposition Technique , 1966 .

[15]  I. Lefkowitz,et al.  Multilevel Approach Applied to Control System Design , 1966 .

[16]  J. D. Pearson.  Decomposition, Coordination, and Multilevel Systems , 1966, IEEE Trans. Syst. Sci. Cybern..

[17]  Mihajlo D. Mesarovic,et al.  GENERAL SYSTEMS THEORY AND ITS MATHEMATICAL FOUNDATION , 1967 .

[18]  J. D. Pearson,et al.  Decomposition of large optimal-control problems , 1967 .

[19]  Tomas E. Dy Liacco,et al.  The Adaptive Reliability Control System , 1967 .

[20]  H. Perlis,et al.  The application of multilevel techniques to the identification of state variables , 1967 .

[21]  Wladyslaw Findeisen,et al.  Parametric Optimization by Primal Method in Multilevel Systems , 1968, IEEE Trans. Syst. Sci. Cybern..

[22]  E. J. Bauman,et al.  Multilevel Optimization Techniques with Application to Trajectory Decomposition , 1968 .

[23]  Cornelius T. Leondes,et al.  Two-level optimization techniques for dynamic systems† , 1968 .

[24]  Harold Nicholson,et al.  Hierarchical Control of a Multimachine Power System Model , 1968 .

[25]  Leon S. Lasdon,et al.  Duality and Decomposition in Mathematical Programming , 1968, IEEE Trans. Syst. Sci. Cybern..

[26]  Y. Takahara,et al.  An approach to on-line coordination , 1969 .

[27]  D. A. Wismer.  An Efficient Computational Procedure for the Optimization of a Class of Distributed Parameter Systems , 1969 .

[28]  M. Mesarovic,et al.  Coordinability of dynamic systems , 1969 .

[29]  R. Kulikowski,et al.  Optimization of large-scale systems , 1970 .

[30]  A. Manitius,et al.  Multilevel optimization and dynamic coordination of mass flows in a beet sugar plant , 1970 .

[31]  M. Mesarovic,et al.  Theory of Hierarchical, Multilevel, Systems , 1970 .

[32]  M. Mesarovic,et al.  Two coordination principles and their application in large scale systems control , 1970 .

[33]  M. D. Mesarovic,et al.  Multilevel systems and concepts in process control , 1970 .

[34]  D. Wismer,et al.  Modeling and identification of aquifer systems of high dimension , 1970 .

[35]  A. Noton,et al.  Two-level form of the Kalman filter , 1971 .

[36]  I. Lefkowitz,et al.  Economic tradeoffs associated with a multilayer control strategy for a class of static systems , 1972 .

[37]  L. Lasdon,et al.  On a bicriterion formation of the problems of integrated system identification and system optimization , 1971 .

[38]  R. E. Larson,et al.  Hierachical Control Of Transient Flow In Natural Gas Pipeline Networks , 1971 .

[39]  Yacov Y. Haimes,et al.  Integrated system modeling and optimization via quasilinearization , 1971 .

[40]  Yacov Y. Haimes,et al.  Modeling and Control of the Pollution of Water Resources Systems via Multilevel Approach , 1971 .

[41]  Yacov Y. Haimes.  Decomposition and multilevel techniques for water quality control , 1972 .

[42]  Yacov Y. Haimes,et al.  A multilevel approach to determining optimal taxation for the abatement of water pollution , 1972 .

[43]  Dragoslav D. Siljak,et al.  Stability of Large-Scale Systems under Structural Perturbations , 1972, IEEE Trans. Syst. Man Cybern..

[44]  Allen R. Stubberud,et al.  Computational aspects of multilevel trajectory optimization , 1972, CDC 1972.

[45]  Yacov Y. Haimes,et al.  Hierarchical structures in water resources systems management , 1972 .

[46]  Yvo M. I. Dirickx.  Some Relationships Between Hierarchical Systems Theory and Certain Optimization Problems , 1972 .

[47]  Pravin Varaiya.  Theory of hierarchical, multilevel systems , 1972 .

[48]  Yacov Y. Haimes,et al.  A computational approach to the combined problem of optimization and parameter identification , 1972 .

[49]  Yacov Y. Haimes,et al.  Computational Results for Water Pollution Taxation Using Multilevel Approach , 1972 .

[50]  J. F. Coales,et al.  A hierarchical strategy for the temperature control of a hot strip roughing process , 1973 .

[51]  Ieee Tt,et al.  Asymptotic Stability and Instability of Large-Scale Systems , 1973 .

[52]  Dragoslav D. Šiljak,et al.  Competitive economic systems: Stability, decomposition, and aggregation , 1973, CDC 1973.

[53]  A. P. Sage,et al.  On hierarchical estimation and system identification using the MAP criterion , 1973 .

[54]  A. Titli,et al.  A combined decomposition and coordination method in large dimension optimization problems , 1973 .

[55]  A. P. Sage,et al.  Identification and modelling of large-scale systems using sensitivity analysis † , 1973 .

[56]  N. J. Smith,et al.  Hierarchical system identification of models for urban dynamics , 1973 .

[57]  Madan G. Singh.  Hierarchical Strategies for the On-Line Control of Urban Road Traffic Signals , 1973, Optimization Techniques.

[58]  C. J. Gueguen,et al.  Dual decompositions and effective coordination of dynamical systems , 1973, Inf. Sci..

[59]  N. N. Moiseev,et al.  Hierarchical structures and game theory , 1973 .

[60]  N. J. Smith,et al.  AN INTRODUCTION TO HIERARCHICAL SYSTEMS THEORY , 1973 .

[61]  Dragoslav D. Šiljak,et al.  On stability of large-scale systems under structural perturbations. , 1973 .

[62]  M. Richetin,et al.  Multilevel optimization methods for non-separable problems and application , 1973 .

[63]  N. J. Smith,et al.  A sequential method for system identification in hierarchical structure , 1973 .

[64]  Yacov Y. Haimes,et al.  Integrated System Identification and Optimization , 1973 .

[65]  A. P. Sage,et al.  System identification in large scale systems with hierarchical structures , 1973 .

[66]  Yacov Y. Haimes,et al.  Multilevel optimization for conjunctive use of groundwater and surface water , 1974 .

[67]  Madan G. Singh,et al.  Modelling and hierarchical optimization for oversaturated urban road traffic networks , 1974 .

[68]  A. P. Sage,et al.  Hierarchical system identification of states and parameters in interconnected power systems , 1974 .

[69]  J. F. Coales,et al.  A heuristic approach to the hierarchical control of multivariable serially connected dynamical systems , 1974 .

[70]  Dragoslav D. Šiljak,et al.  Exponential stability of large-scale discrete systems , 1974 .

[71]  A.P. Sage,et al.  Identification of Aircraft Stability and Control Parameters Using Hierarchical State Estimation , 1974, IEEE Transactions on Aerospace and Electronic Systems.

[72]  Allen R. Stubberud,et al.  Decomposition technique for minimum time trajectories , 1974 .

[73]  Ronald D. Sugar,et al.  Multilevel Optimization of Multiple Arc Trajectories , 1974 .

[74]  Andrew P. Sage,et al.  Hierarchical structuring for system identification , 1974, Inf. Sci..

[75]  Hiroyuki Tamura,et al.  A Discrete Dynamic Model with Distributed Transport Delays and Its Hierarchical Optimization for Preserving Stream Quality , 1974, IEEE Trans. Syst. Man Cybern..

[76]  A. Sage,et al.  Multilevel discrete time system identification in large scale systems , 1974 .

[77]  Andrew P. Sage.  Identification methods for large scale systems , 1974, CDC 1974.

[78]  A. P. Sage,et al.  Identification of aircraft stability and control parameters using multilevel, hierarchical estimation , 1974 .

[79]  Andrew P. Sage,et al.  On hierarchical structure adaptation and systems identification , 1974 .

[80]  D. Siljak,et al.  Decomposition-aggregation stability analysis of the spinning Skylab , 1974 .

[81]  A. Sage,et al.  Error and sensitivity analysis of stochastic approximation algorithms for linear system identification , 1974 .

[82]  Andrew P. Sage,et al.  Multi-person decision analysis in large scale systems—group decision making☆ , 1975 .

[83]  Petar V. Kokotovic,et al.  Singular perturbations and order reduction in control theory - An overview , 1975, Autom..

[84]  Madan G. Singh,et al.  A method for improving the efficiency of the goal coordination algorithm for large scale dynamical systems with state variable coupling , 1975 .

[85]  A. Titli,et al.  Two-level dynamic optimization methods , 1975 .

[86]  Andrew P. Sage,et al.  Multi person decision analysis in large-scale hierarchical systems—team decision theory† , 1975 .

[87]  Akira Mohri,et al.  Optimization of weakly coupled subsystems by a two-level method , 1975 .

[88]  Madan G. Singh.  A new algorithm for the on-line multi-level control of large interconnected systems with fast dynamics , 1975 .

[89]  M. R. Javdan,et al.  A unified theory of optimal multi-level control , 1975 .

[90]  André Titli,et al.  Closed Loop Hierarchical Control for Non-Linear Systems Using Quasilin Earisation , 1975 .

[91]  H. Tamura.  Decentralized optimization for distributed-lag models of discrete systems , 1975, Autom..

[92]  A. Titli,et al.  Brief paper: Closed loop hierarchical control for non-linear systems using quasilinearisation , 1975 .

[93]  Yacov Y. Haimes,et al.  A Multilevel Approach to Planning for Capacity Expansion in Water Resource Systems , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[94]  Yacov Y. Haimes,et al.  Hierarchical modeling of regional total water resources systems , 1975, Autom..

[95]  Andrew P. Sage,et al.  Linear system identification by autoregressive model decomposition , 1975 .

[96]  Madan G. Singh,et al.  Comparisons of practical hierarchical control methods for interconnected dynamical systems , 1975, Autom..

[97]  G. Cohen,et al.  Coordination Methods by the Prediction Principle in Large Dynamic Constrained Optimization Problems , 1976 .

[98]  D. Siljak,et al.  A multilevel optimization of large-scale dynamic systems , 1976 .

[99]  Lauri Hakkala,et al.  On-line co-ordination under uncertainty of weakly interacting dynamical systems , 1976, Autom..

[100]  André Titli,et al.  Multilevel Feedback Control for Interconnected Dynamical Systems Using the Prediction Principle , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[101]  Dragoslav D. Šiljak,et al.  Large-Scale Systems: Optimality vs. Reliability , 1976 .

[102]  D. D. iljak,et al.  Paper: Multilevel stabilization of large-scale systems: A spinning flexible spacecraft , 1976 .

[103]  D. Siljak,et al.  Large-scale systems - Stability, complexity, reliability , 1976 .

[104]  Marlin H. Mickle,et al.  Feedback multilevel control for continuous dynamic systems , 1977 .

[105]  Marlin H. Mickle,et al.  Multilevel control and optimization using generalized gradients technique , 1977 .

[106]  Mahmoud,et al.  Decentralized computational techniques for the optimization of distributed systems , 1977 .

[107]  W. Findeisen.  Multilevel structures for control systems , 1977 .

[108]  Magdi S. Mahmoud.  A class of optimization techniques for linear state-regulators , 1977 .

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