Disturbance Decoupling With Closed-Loop Modes Stability in Switched Linear Systems

This work deals with the problem of rendering the output of a switched linear system insensitive to a disturbance input, with the requirement that the dynamics of the closed-loop system be exponentially stable for all switching signals with a sufficiently large dwell time. A necessary and sufficient...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2016-10, Vol.61 (10), p.3115-3121
Main Authors: Zattoni, Elena, Perdon, Anna Maria, Conte, Giuseppe
Format: Article
Language:English
Subjects:
Bismuth
Disturbance decoupling
dwell time
exponential stability
Linear systems
Robustness
State feedback
switched linear systems
Switched systems
Switches
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Summary:This work deals with the problem of rendering the output of a switched linear system insensitive to a disturbance input, with the requirement that the dynamics of the closed-loop system be exponentially stable for all switching signals with a sufficiently large dwell time. A necessary and sufficient condition for the problem to have a solution is shown. A complete computational procedure to check the solvability condition and to synthesize the compensation scheme is provided. A worked-out example is presented with the aim of showing the effectiveness of the devised method.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2015.2498123