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
Proceedings ArticleDOI
Discrete-time flow control for connection-oriented communication network via reduced model
P. Baburaj,Bijnan Bandyopadhyay +1 more
TL;DR: A suboptimal flow controller design for connection-oriented communication network via reduced model which tracks the desired queue length effectively under the adverse influence of unmatched disturbances is proposed.
Proceedings ArticleDOI
State-Space Approaches for Model Reduction of FIR Digital Filters
Hon Keung Kwan,Fang Wang +1 more
TL;DR: In this paper, three state-space methods for approximating a FIR digital filter by a reduced-order IIR digital filter are compared: the impulse-response gramians, the balanced model truncation, and the weighted least-squares approximation.
Proceedings Article
Hierarchical control design of multi-agent networks with approximate simulation
Tang Yutao,Hong Yiguang +1 more
TL;DR: A hierarchical control design for multi-agent systems is considered, where the agents are guided by a simple abstract system with the help of simulation functions.
Journal ArticleDOI
The generalized Hessenberg representation and near aggregation
D. K. Lindner,Will Perkins +1 more
TL;DR: Near unobservability (defined as an invariant subspace near the null space of C ) is introduced and is shown to be equivalent to near aggregation if there exists an appropriately dimensioned invariants subspace.
Journal ArticleDOI
Some basic algebraic relations in the order‐reduction of large‐scale systems by aggregation
TL;DR: Conditions for the existence of a full-rank matrix K which satisfies the aggregation relations (4)–(6) are proved, which is a generalization of the important algebraic theorem on the similarity transformation of matrices.
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.