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
Application of Aggregation Methods in Control of Power Systems
Juraj Bízik,Stefan Kozak +1 more
TL;DR: One of the main classes of model reduction-aggregation is used and the results of the two different methods are discused and compared for application in Power Systems.
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The role of computers in simulation, optimization and control
TL;DR: The impact of recent achievements in computer technology on the simulation, optimization and control of chemical systems is discussed and the role of nanofiltration in this area is discussed.
Journal ArticleDOI
An Application of Aggregation Methods to Optimal Control of Large-Scale Discrete Dynamical Systems
TL;DR: In this paper, an unusual application of aggregation methods to optimal control of large-scale linear discrete time dynamical systems is presented, where the original system is aggregated by usual aggregation methods, to obtain a simplified one, to be utilized as a first subsystem of a new global system.
Journal ArticleDOI
Representation of Different Reduced-Order Models by Aggregation Methods
Hisashi Kando,Tetsuo Iwazumi +1 more
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