Journal ArticleDOI
Control of large-scale dynamic systems by aggregation
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
The Order of an Equivalent for Large Scale System
Z. Elrazaz,Naresh K. Sinha +1 more
TL;DR: In this paper, the order of a reduced-order model for large scale systems is considered and different methods to choose the order are discussed. And a comparison between these methods is given.
Journal ArticleDOI
A simplified model approach in the hierarchical control systems
TL;DR: This paper aims to simplify the quantity of computations of the coordinator in the hierarchical structure by offering to it a reduced order model of the first level which is controlled in a satisfactory way by the local controls.
Proceedings ArticleDOI
A Minimum Output Information Loss Method for Stochastic Model Reduction
Xin Tai,Hui Zhang,Youxian Sun +2 more
TL;DR: The derived minimum output information loss (MOIL) method connects with the aggregation method firmly, and it can preserve the stability of the original system.
References
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