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access icon free Stabilisation of switched linear systems under denial of service

  • Author(s): Hanqing Qu 1, 2  and  Jun Zhao 1, 2
    • View affiliations
  • Source: Volume 14, Issue 11, 23 July 2020, p. 1438 – 1444
    DOI:  10.1049/iet-cta.2019.0914 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 06/08/2019, Accepted 05/03/2020, Revised 10/01/2020, Published 06/03/2020

The authors consider the stabilising problem for switched linear systems subject to denial-of-service (DoS) attacks that block communications on the network. Using the periodic sampled-data control, the authors first research the switched systems where no DoS attacks occur, and a class of switching signals satisfying the average dwell time is presented to stabilise the switched systems in which the authors take asynchronous switching into consideration. Then, using the presented switching signals, a sufficient condition with respect to DoS attack duration and frequency is given to keep switched systems stable under DoS attacks. The condition reflects the relation between attack rate and system stability. The authors also analyse the qualitative relation between average dwell time and system robustness against attacks. Compared with non-switched systems, the analysis of switched systems under DoS attacks is more challenging. They finally give a numerical example to show the validity of the result.

Inspec keywords: stability; time-varying systems; Lyapunov methods; sampled data systems; linear systems; control system synthesis; asymptotic stability

Other keywords: nonswitched systems; system stability; asynchronous switching; attack rate; DoS attacks; presented switching signals; denial-of-service attacks; switched linear systems subject; system robustness; switched systems

Subjects: Linear control systems; Time-varying control systems; Stability in control theory; Discrete control systems; Algebra; Control system analysis and synthesis methods

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