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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Multilevel systems and concepts in process control
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A Review of Proper Modeling Techniques
TL;DR: In this paper, a broad survey of the proper modeling literature is presented, with the intention of helping the modeler to identify the most suitable proper modeling method for a given application.
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Some approximation methods for estimation and control of large scale systems
TL;DR: Several methods for approximate estimation and control of large scale systems, mostly based on the notions of aggregation and disaggregation are presented.
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Discrete interval system reduction using Pade approximation to allow retention of dominant poles
TL;DR: In this paper, a method of reduction for discrete interval systems using Pade approximation to allow the retention of dominant poles is presented, where the numerator is obtained by matching interval time moments.
References
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