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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Two-stage suboptimal discrete-time regulators for continuous-time stiff dynamic systems
TL;DR: In this article, a two-stage design method is developed for linear quadratic regulators (LQRS) with regional pole assignment for a large-scale continuous-time stiff dynamic system and its observer.
Journal ArticleDOI
A method for reducing the order of multivariable stochastic systems
G. Obinata,H. Inooka +1 more
TL;DR: This correspondence considers the problem of modeling a given linear time-invariant system by a reduced-order model based on the minimization of an equation error, which leads to a linear problem.
Journal ArticleDOI
Model reduction in a subset of the original states
K.H. Yae,Daniel J. Inman +1 more
TL;DR: In this article, a structural dynamic model is derived from finite element analysis, and the model is first converted into the state space form, and is further reduced by the internal balancing method, finally expressed with the states that are members of the original states.
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Modelling and analysis of ecological systems: the large-scale system viewpoint
TL;DR: This paper surveys ecological modelling and analysis from the viewpoint of large-scale systems to indicate a shift in emphasis from the numerical simulation of ecosystems to the theoretical discussion of fundamental principles.
References
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