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
A note on the derivation and use of reduced-order models
R. Genesio,M. Milanese +1 more
TL;DR: In view of the particular interest in the problem of reduced-order modeling in recent years, some considerations not sufficiently investigated in current literature are pointed out and a comprehensive set of references is given.
Journal ArticleDOI
An approximate approach to H/sup 2/ optimal model reduction
Wei-Yong Yan,Jacky Wing Yip Lam +1 more
TL;DR: The problem is formulated as that of minimizing the H/sub 2/ model-reduction cost over the Stiefel manifold so that the stability constraint on reduced-order models is automatically satisfied and thus totally avoided in the new problem formulation.
Journal ArticleDOI
Reduction of large flexible spacecraft models using internal balancing theory
TL;DR: A new and computationally simple method for flexible spacecraft model reduction is presented, using an internal balancing approximation shown to be valid when natural damping is small, that provides quantitative modal rankings with respect to disturbance environment, actuator authority, sensor observability, and performance objective.
Journal ArticleDOI
Singular perturbational model reduction of balanced systems
K. Fernando,H. Nicholson +1 more
TL;DR: In this article, the balanced representations of linear systems due to Moore are shown to be natural and convenient mediums for singular perturbational model reduction, and the balanced representation is used for linear systems in the singular model reduction problem.
Proceedings ArticleDOI
Model reductions using a projection formulation
TL;DR: In this paper, the authors proposed a model reduction method for MIMO systems with oblique projection using a projector whose range and orthogonal to the null space are chosen among the ranges of generalized controllability and observability matrices.
References
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