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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A unified framework for differential aggregations in Markovian process algebra
TL;DR: This paper analyses the case of a process algebra model inducing a large ODE system and proposes approximate variants of both notions of lumpability which make nearby processes symmetric after a perturbation of their parameters, and proves that small perturbations yield nearby differential trajectories.
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A New Model Reduction Method for the Linear Dynamic Systems and Its Application for the Design of Compensator
TL;DR: A new model reduction method for the simplification and design of a controller for the linear time-invariant systems is proposed and an improved generalized pole clustering algorithm is employed in the proposed technique for obtaining the denominator of the reduced model.
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Model reduction via Schur decomposition
Ahmed Rachid,Ghani Hashim +1 more
TL;DR: In this paper, a simple procedure for model reduction based upon a Schur decomposition of a given system is presented, which allows the combination of singular perturbation and aggregation approaches.
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Modelling heat transfers in building by coupling reduced-order models
TL;DR: A major decrease of the computation time with no significant losses of accuracy is reported in linear systems aggregation, which has been applied in several ways for large dynamical systems reduction.
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