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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Tesis previa a la obtención del titulo de ingeniero en la especializacion de electrónica y control análisis comparativo de métodos de reducción de funciones de transferencia
Juan Fernando,Donoso Araujo +1 more
Journal ArticleDOI
Aggregation of Models I-lith Restricted Domains: An Application of the Pseudoinverses
TL;DR: In this paper, the aggregation problem for models with restricted domains is considered and sufficient conditions for aggregation of models with such models are discussed. But these conditions are milder than the conditions that would be required if the domains were unrestricted.
Journal ArticleDOI
Challenges in Quantitative Abstractions for Collective Adaptive Systems
TL;DR: In this paper, the authors focus on models based on ordinary differential equations and review recent results where abstraction is achieved by aggregation of variables, reflecting on the shortcomings in the state of the art and setting out challenges for future research.
Book ChapterDOI
Model Order Reduction of Two Area Hydropower System Using Mixed Method
TL;DR: A state-space model of automatic generation control system of a two-area interconnected power system model consisting of hydropower plants is developed which is an original system of 11th order which is approximated to a reduced model of 3rd order.
References
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