Some approximation methods for estimation and control of large scale systems
- 1 April 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 23 (2) , 173-182
- https://doi.org/10.1109/tac.1978.1101705
Abstract
The paper presents several methods for approximate estimation and control of large scale systems, mostly based on the notions of aggregation and disaggregation. After introducing the notions for static systems in Section II, aggregation and disaggregation in dynamic systems are discussed in Section III. The condition for perfect aggregation is relaxed in two ways. One is to restrict the class of dynamic systems and the other is to restrict the state space. These two approaches are shown to provide useful approximation to the more restrictive notions of perfect aggregation and disaggregation. Section IV is devoted to improving performance measures for large scale systems.Keywords
This publication has 22 references indexed in Scilit:
- Survey of decentralized control methods for large scale systemsIEEE Transactions on Automatic Control, 1978
- Representation of linear dynamical systems by aggregated modelsInternational Journal of Control, 1977
- A note on the derivation and use of reduced-order modelsIEEE Transactions on Automatic Control, 1976
- Estimation and Aggregation in Econometrics: An Application of the Theory of Generalized InversesPublished by Elsevier ,1976
- Gradient methods for optimal linear system reduction†International Journal of Control, 1973
- Stability of Large-Scale Systems under Structural PerturbationsIEEE Transactions on Systems, Man, and Cybernetics, 1972
- A method for simplifying linear dynamic systemsIEEE Transactions on Automatic Control, 1966
- Optimal Aggregation in Multi-Equation Prediction ModelsEconometrica, 1962
- Aggregation of Variables in Dynamic SystemsEconometrica, 1961
- A generalized inverse for matricesMathematical Proceedings of the Cambridge Philosophical Society, 1955