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
Singular perturbational model reduction in the frequency domain
K.V.M. Fernando,H. Nicholson +1 more
TL;DR: In this article, singular perturbational approximations for linear continuous-time and discrete-time systems were developed in the frequency domain and shown to be an approximation at the origin in the complex plane.
Journal ArticleDOI
Discrete two-time-scale systems
TL;DR: In this paper, reduced-order modelling and control analysis of linear, discrete-time systems with dominant and non-dominant modes is presented, and a matrix norm condition is derived, which enables approximate expressions for the block-diagonalizing matrices, eigenvalue distribution and state trajectories to be obtained.
Proceedings ArticleDOI
An evolutionary computation based approach for reduced order modelling of linear systems
Boby Philip,Jayanta Pal +1 more
TL;DR: A new model order reduction algorithm taking the advantages of reciprocal transformation and principal pseudo break frequency estimation is presented, and the denominator polynomial is constructed using the approximate dominant poles obtained.
Journal ArticleDOI
Suboptimal and near-optimal control of a load-frequency-control system
TL;DR: A method of reduction in the computation for multiarea load-frequency-control systems is considered using the method of aggregation due to Aoki, and in the case of the nonobservability of some of the states, an observer is constructed, and a controller that is almost an optimal controller is obtained.
References
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