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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Finite-time sliding mode flow control design via reduced model for a connection-oriented communication network
P. Baburaj,Bijnan Bandyopadhyay +1 more
TL;DR: Simulation results via Matlab and ns-2 validate the efficacy of the proposed algorithm as an effective flow controller for connection-oriented networks.
Proceedings ArticleDOI
Hierarchical control design of nonlinear systems based on approximate simulation
Yutao Tang,Yiguang Hong +1 more
TL;DR: Hierarchical control for a class of nonlinear systems is discussed using approximate simulation relation and an error bound is obtained under a modified approximate simulation function at first.
Proceedings ArticleDOI
Reaction-diffusion clustering of single-input dynamical networks
TL;DR: This clustering method is based on the Reaction-Diffusion transformation, which can be applied to large-scale networks, and preserves the stability as well as a kind of network structure of the original system.
Dissertation
H2, fixed architecture, control design for large scale systems
TL;DR: In this paper, the authors derived the necessary conditions for optimality for the H2, fixed architecture, control problem and analyzed their convergence properties using a modified homotopy procedure, and compared the properties of the constrained solutions and compare them to the corresponding unconstrained ones.
References
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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.