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Journal ArticleDOI

Characterizations of Decentralized Fixed Modes for Interconnected Systems

Edward J. Davison, +1 more
- 01 Aug 1981 - 
- Vol. 14, Iss: 2, pp 1229-1235
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TLDR
In this article, a study of the characterization of decentralized fixed modes for large scale interconnected systems is made, in which the existence of fixed modes of a v-control agent system is expressed in terms of the presence of fixed mode of v-1 control agent systems.
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This article is published in IFAC Proceedings Volumes.The article was published on 1981-08-01. It has received 19 citations till now. The article focuses on the topics: Controllability.

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Citations
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Journal ArticleDOI

Design of Distributed LTI Observers for State Omniscience

TL;DR: A distributed estimation scheme that is a natural generalization of consensus in which each observer computes its own state estimate of the plant using only the portion of the output vector accessible to it and the state estimates of other observers that, according to the graph, are available to it.
Journal ArticleDOI

Brief paper: A graph-theoretic characterization of structurally fixed modes

TL;DR: A characterization of structurally fixed modes in linear systems is given in the graph-theoretic framework and results in a computationally efficient test for stabilizability of systems under feedback structure constraints.
Proceedings ArticleDOI

Necessary and sufficient conditions for the stabilizability of a class of LTI distributed observers

TL;DR: An update rule is proposed that is a natural generalization of consensus and necessary and sufficient conditions for the existence of parameters that lead to asymptotic omniscience of the state of the plant at all local observers are determined.
Journal ArticleDOI

Youla-Like Parametrizations Subject to QI Subspace Constraints

TL;DR: This paper addresses the previously unsolved problem of extending Youla's classical parametrization so that it admits QI subspace constraints on the controller and shows that the solution of the exact model-matching problem can be used to compute an admissible stabilizing controller.
References
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Journal ArticleDOI

On the stabilization of decentralized control systems

TL;DR: In this paper, a necessary and sufficient condition for the existence of local control laws with dynamic compensation to stabilize a given system is derived in terms of a new notion, called "fixed modes", which is a natural generalization of the well-known concept of uncontrollable modes and unobservable modes that occur in centralized control system problems.
Journal ArticleDOI

Paper: Decentralized control of linear multivariable systems

TL;DR: In this article, the effect of decentralized feedback on the closed-loop properties of jointly controllable, jointly observable k-channel linear systems is studied by means of suitably defined directed graphs.
Journal ArticleDOI

Properties and calculation of transmission zeros of linear multivariable systems

TL;DR: In this paper, a new definition of transmission zeros for a linear, multivariable, time-invariant system is made which is shown to be equivalent to previous definitions.
Journal ArticleDOI

Papers: Algebraic characterization of fixed modes in decentralized control

TL;DR: Algebraic characterizations are presented for the existence of fixed modes of a linear closed-loop system with decentralized feedback control and the class of controllers for which fixed modes are present is extended beyond that currently known.
Journal ArticleDOI

The robust decentralized control of a general servomechanism problem

TL;DR: In this article, a new type of compensator called a decentralized servo-compensator which is quite distinct from an observer is introduced, which corresponds to an integral controller in classical control theory, must be used in any decentralized servomechanism problem to assure that the controlled system is stablizable and achieves robust control.
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