Journal ArticleDOI
Control of large-scale dynamic systems by aggregation
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TLDR
Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived and questions of performance degradation and of stability of such suboptimally controlled systems are answered.Abstract:
A method is proposed to obtain a model of a dynamic system with a state vector of high dimension. The model is derived by "aggregating" the original system state vector into a lower-dimensional vector. Some properties of the aggregation method are investigated in the paper. The concept of aggregation, a generalization of that of projection, is related to that of state vector partition and is useful not only in building a model of reduced dimension, but also in unifying several topics in the control theory such as regulators with incomplete state feedback, characteristic value computations, model controls, and bounds on the solution of the matrix Riccati equations, etc. Using the quantitative definition of weak coupling proposed by Milne, a suboptimal control policy for the weakly coupled system is derived. Questions of performance degradation and of stability of such suboptimally controlled systems are also answered in the paper.read more
Citations
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Journal ArticleDOI
Model reduction of large-scale interconnected systems
Ali Feliachi,Chawdhurry Bhurtun +1 more
TL;DR: In this paper, a general procedure is presented to obtain a reduced-order model when (a) at least one of the components is exactly aggregable, and (b) none of the component are reducible.
Journal ArticleDOI
An Overview on the Aggregation of Large-Scale Systems
TL;DR: One of the main classes of techniques of model reduction - aggregation is overviewed and a comparison on their characteristics, computational requirement and use in the near-optimum control of the full model is given.
Journal ArticleDOI
Aggregation on manifolds
C. P. Kwong,Yu-Kun Zheng +1 more
TL;DR: In this paper, it is shown that a recently proposed approach to linear aggregation, when properly generalized using a differential-geometric language, provides a natural framework for the aggregation of non-linear dynamics.
Journal ArticleDOI
Lumping of components and reactions in complex reaction networks
TL;DR: In this article, the authors introduced the notion of lump and classified the chemical reaction pathways between species as internal or external, using the groups of species, and defined a proper lumping transformation which aggregates the species in the same lump gives rise to pseudospecies.
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