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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Proceedings ArticleDOI
A method of model reduction preserving design specification parameters for a class of dynamic systems
TL;DR: In this paper, a method of model reduction for a class of linear controllable systems containing parameters with design specifications in their input terms is proposed. But this method is restricted to linear control systems.
Journal ArticleDOI
Aggregation and Information Structuring in Large-Scale Dynamic Systems
Ami Arbel,Edison Tse +1 more
TL;DR: The problem of information structuring in large-scale dynamic systems is considered and it is shown that, when the goal of the decisionmaking process is considered in this aggregation step, simplified decision rules are obtained.
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Novel aggregation algorithm for large-scale systems control
Jiande Zheng,Yong-Zai Lu +1 more
TL;DR: A novel aggregation algorithm is proposed to decompose a system into two subsystems and reduce the subsystem which contains only non-dominant eigenvalues in a way that slow-decaying terms in the variables associated with this subsystem could be well preserved.
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A state space time series modelling method without individual detrending
TL;DR: In this paper, a state space method for building time series models without detrending each component of data vectors individually is presented, which uses the recent algorithm based on the singular value decomposition of the Hankel matrix and a two-step sequential procedure suggested by the notion of dynamic aggregation.
Journal ArticleDOI
Structural decomposition and new algebraic method for large-scale systems
TL;DR: In this article, the authors propose a new method for the qualitative analysis and design of large-scale systems, which is based on a computer-aided control system design (CACSD) setup.
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