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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An Improved Model Reduction Method and its Application in Similar Simulation of Complex Systems
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Closure properties and homomorphisms of time-varying systems
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Controller designs for power system stability enhancement using static phase shifters
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A Conglomerating approach for Model Order Reduction of Continuous Large Scale Systems
TL;DR: In this article, a method is presented for the order reduction of continuous approach for complex discrete uncertain systems is proposed using Interval arithmetic Routh Stability arrays are formed to obtained numerator and denominator of reduced order model.
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