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Proceedings ArticleDOI

A Canonical Form for The Inclusion Principle of Dynamic Systems

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TLDR
In this article, a canonical form for larger systems (expansions) that are obtained by expanding smaller systems (contractions) is derived, which offers full freedom in selecting appropriate matrices for the expansion-contraction process.
Abstract
The inclusion principle provides a mathematical framework for comparing behavior of dynamic systems having different dimensions. Our main objective is to derive a canonical form for larger systems (expansions) that are obtained by expanding smaller systems (contractions). The form offers full freedom in selecting appropriate matrices for the expansion-contraction process. We will broaden the form to include feedback and propose an explicit characterization of contractible control laws subject to overlapping information structure constraints.

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Proceedings ArticleDOI

Robust H ∞ controller design of large-scale discrete-time overlapping systems

TL;DR: A sufficient condition for the existence of a decentralized H∞ two-parts-controller for discrete-time large-scale overlapping systems is presented in terms of the solvability to a certain discomposed system of matrix inequalities, by the Cone Complementary Linearization (CCL) algorithm.
References
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Book

Linear systems

Journal ArticleDOI

Canonical forms for linear multivariable systems

TL;DR: In this article, a class of well-known canonical forms for single-input or single-output controllable and observable systems are extended to multivariable systems, and it is shown that, unlike the single variable case, the canonical forms are generally not unique, but that the structure of the canonical form can be controlled to some extent by the designer.
Journal ArticleDOI

Decentralized overlapping control of a platoon of vehicles

TL;DR: Simulation results show that the proposed methodology provides a reliable tool for a systematic and efficient design of platoon controllers within IVHS.
Journal ArticleDOI

Control of large-scale dynamic systems by aggregation

TL;DR: 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.
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