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
Journal ArticleDOI
The Use of Model Reduction and Function Decomposition for Identifying Boundary Conditions of A Linear Thermal System
TL;DR: In this article, the authors proposed a procedure to reduce both the number of unknowns and the model order of a linear diffusive thermal system by decomposing the spatial distribution of φ on a functions basis.
Journal ArticleDOI
Modular model reduction for interconnected systems
A. F. Vaz,Edward J. Davison +1 more
TL;DR: This work details the high frequency interactions which give rise to this discrepancy and a computationally feasible modular approach to this model reduction problem is discussed.
Journal ArticleDOI
Reduced-order models, canonical forms and observers†
Ami Arbel,Edison Tse +1 more
TL;DR: In this article, the conditions under which one can model the system's output, or any other transformation of the state, by a model of reduced-order was considered, and it was shown that a model with the same dimension as the output vector is possible to obtain only under very restrictive conditions with strong implications.
Proceedings ArticleDOI
Hierarchically consistent control systems
TL;DR: A notion of modeling hierarchy for continuous control systems is defined and characterizations for hierarchically consistent linear systems with respect to controllability objectives are obtained.
Proceedings ArticleDOI
Assessment of Various MOR Techniques on an Inverter-Based Microgrid Model
Sachidananda Sen,Vishal Kumar +1 more
TL;DR: This paper performs a comparative study of various model order reduction techniques viz. aggregation, balanced truncation (BT), singular perturbation (SP) and Hankel norm approximation (HNA) on a two-source autonomous MG system.
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.