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
More filters
Dissertation
Analisis comparativo de métodos de reducción de funciones de transferencia
Donoso Araujo,Juan Fernando +1 more
Book ChapterDOI
Design of Feedback Systems
Magdi S. Mahmoud,Madan G. Singh +1 more
TL;DR: The main objective in this chapter is to introduce some of the central concepts involved in the design of linear feedback controllers for discrete time systems and develop different techniques to compute the feedback gain matrix.
Journal ArticleDOI
On Cauchy´s Interlacing Theorem and the Stability of an Aggregation -type Epidemic Model
Book ChapterDOI
A TWO-STEP STATE SPACE TIME SERIES MODELING METHOD††Research supported in part by a grant from the National Science Foundation.
On set-theoretic fundamentals of systems integration
Adedeji Badru,O. Ibidapo-Obe +1 more
TL;DR: The premise of this paper is that a rigorous set-theoretic formulation can help identify the dominant common elements of subsystems, thereby facilitating practical implementation that is amenable to quantitative optimization.
References
More filters
Journal ArticleDOI
Decomposition Principle for Linear Programs
George B. Dantzig,Philip Wolfe +1 more
TL;DR: A technique is presented for the decomposition of a linear program that permits the problem to be solved by alternate solutions of linear sub-programs representing its several parts and a coordinating program that is obtained from the parts by linear transformations.
Contributions to the theory of optimal control
TL;DR: In this article, the authors considered the problem of least square feedback control in a linear time-invariant system with n states, and proposed a solution based on the concept of controllability.
Journal ArticleDOI
On "A method for simplifying linear dynamic systems"
M. Chidambara,Edward J. Davison +1 more
TL;DR: A method is proposed for reducing large matrices by constructing a matrix of lower order which has the same dominant eigenvalues and eigenvectors as the original system.
Journal ArticleDOI
Estimation of the state vector of a linear stochastic system with a constrained estimator
TL;DR: In this article, a constructive design procedure for the problem of estimating the state vector of a discrete-time linear stochastic system with time-invariant dynamics when certain constraints are imposed on the number of memory elements of the estimator is presented.