Journal ArticleDOI
Control of large-scale dynamic systems by aggregation
Reads0
Chats0
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
Journal ArticleDOI
Near aggregation, the dual GHR and pole-zero cancellation
TL;DR: In this article, the authors consider SISO systems that nearly aggregate and show that these systems have almost pole-zero cancellations, defined as the existence of an invariant subspace near the null space of C, and also show that nearly unobservable systems exhibit almost pole zero cancellations.
Journal ArticleDOI
Iterative aggregation method for constrained optimal control problems
TL;DR: In this article, a two-level iterative algorithm based on aggregation-disaggregation ideas is proposed for the solution of large-scale optimal control problems, where a linear aggregation of the control is used and a linear disaggregation is iteratively adjusted in order to get the disaggregated control optimal for the original problem.
Journal ArticleDOI
Weak connections, time scales, and aggregation of nonlinear systems
G. Peponides,Petar V. Kokotovic +1 more
TL;DR: In this article, the authors extended the linear aggregation results by Simon et al. in economics and slow coherency results in power systems to nonlinear systems and related to singular perturbations.
H2, fixed architecture, control design for large scale systems. Ph.D. Thesis
TL;DR: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1990 as discussed by the authors, Boston, Massachusetts, USA.
Proceedings ArticleDOI
Application of model order reduction techniques to space-time kinetics model of AHWR
TL;DR: In this article, the application of model order reduction based on Davison's and Marshall's dominant mode retention and Singular Perturbation techniques has been explored and compared with the characteristics of the original higher order model.
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.