Controllability of Linear Systems With Switching Delays

We consider discrete-time linear time-invariant (LTI) systems with state feedback, where the actuation signal is subject to switching propagation delays, due to, e.g., routing in a multi-hop communication network. We show how to model these systems as pure switching linear systems and provide an alg...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 61; no. 4; pp. 1117 - 1122
Main Authors Jungers, Raphael M., D'Innocenzo, Alessandro, Di Benedetto, Maria D.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Communication networks
Computer networks
Controllability
Delay
Delays
Linear systems
Routing
Routing (telecommunications)
Stability analysis
Switches
Switching
Switching systems
cyber-physical systems
Controllability
wireless control networks
switching systems
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2015.2460711

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Summary:We consider discrete-time linear time-invariant (LTI) systems with state feedback, where the actuation signal is subject to switching propagation delays, due to, e.g., routing in a multi-hop communication network. We show how to model these systems as pure switching linear systems and provide an algorithm for robust stability analysis. Next, we turn to the design problem and provide an algorithm that computes in a finite number of steps the look-ahead knowledge of the delays (i.e., routing) necessary to achieve controllability and stabilizability. This generalizes well known controllability criteria for LTI systems.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2015.2460711