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
Coherency based decomposition and aggregation
TL;DR: Coherency with respect to a set of slowest modes and an earlier developed grouping algorithm are used to identify weakly coupled areas, as demonstrated on a 48-machine model of the United States North-East power system.
Journal ArticleDOI
Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system
TL;DR: In this paper, a topology optimization for a linear elasticity design problem subjected to an uncertain load is proposed, where the design problem is formulated to minimize a robust compliance that is defined as the maximum compliance induced by the worst load case of the uncertain load set.
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Model-Based Predictive Control for building energy management. I: Energy modeling and optimal control
TL;DR: In this paper, a Building Energy Analysis Model (BEAM) is proposed to predict the building's heat and moisture transfer in order to minimize the building energy consumption while maintaining comfort conditions.
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Stability of Large-Scale Systems
TL;DR: In this article, the authors present the results obtained in stability study of large-scale systems based upon the comparison principle and vector Liapunov functions, with emphasis on recent innovations which utilize explicit information about the system structure.
Journal ArticleDOI
Optimal linear regulator pole-placement by weight selection
TL;DR: A recursive algorithm for selecting the state weighting matrix of a linear quadratic regulator (LQR) problem to result in a set of desired closed-loop eigenvalues is presented in this paper.
References
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