Cost Evaluation of Approximate Controllability and Fault Recoverability for Switched Infinite-Dimensional Linear Systems

This article finds the minimum cost that is needed to achieve the approximate controllability of switched infinite-dimensional linear systems (IDLSs) by a newly defined Gramian operator. Such a new cost evaluation method helps to establish a fault recoverability condition, which reveals the ability...

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Veröffentlicht in:	IEEE transactions on automatic control 2022-07, Vol.67 (7), p.3553-3559
Hauptverfasser:	Guan, Yacun, Yang, Hao, Jiang, Bin, Zhang, Youmin
Format:	Artikel
Sprache:	eng
Schlagworte:	Aerospace electronics Approximate controllability Control systems Controllability cost evaluation fault recoverability (FR) Hilbert space Linear systems Mathematical model Minimum cost Recoverability Swarming switched infinite-dimensional linear systems (IDLS) Switches
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creator	Guan, Yacun Yang, Hao Jiang, Bin Zhang, Youmin
description	This article finds the minimum cost that is needed to achieve the approximate controllability of switched infinite-dimensional linear systems (IDLSs) by a newly defined Gramian operator. Such a new cost evaluation method helps to establish a fault recoverability condition, which reveals the ability of faulty switched IDLSs to maintain the approximate controllability under given energetic constraints. An example of the swarming system is taken to illustrate the theoretical results.
doi_str_mv	10.1109/TAC.2021.3097546
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subjects	Aerospace electronics Approximate controllability Control systems Controllability cost evaluation fault recoverability (FR) Hilbert space Linear systems Mathematical model Minimum cost Recoverability Swarming switched infinite-dimensional linear systems (IDLS) Switches
title	Cost Evaluation of Approximate Controllability and Fault Recoverability for Switched Infinite-Dimensional Linear Systems
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