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 Contribution of Control Theory to the Analysis of Economic Policy
TL;DR: A survey of applications of control theory to the analysis of economic policy problems is given in this paper, where the authors discuss applications of closed-loop control and of optimum control theory, including deterministic, stochastic and decentralized optimum control.
Proceedings ArticleDOI
Discrete-time sliding mode control for two-time-scale systems
TL;DR: In this paper, a discrete-time chatter free sliding mode control for the two-time-scale full system using the slow subsystem is presented, which is successfully illustrated by numerical example which is reported in literature.
Proceedings ArticleDOI
Pade approximation based moment matching technique for model order reduction
Shilpi Lavania,Deepak Nagaria +1 more
TL;DR: In this article, a Pade approximation based technique for order reduction of single input single output (SISO) system is presented. But the technique is limited to single-input single-output systems.
Proceedings ArticleDOI
Order reduction of higher order interval systems by stability preservation approach
TL;DR: In this paper, an extended approach for order reduction of high order interval models through stability preservation approach is proposed, which preserves the stability of reduced order system if higher order system is stable.
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.