Stabilisation of switched linear systems under denial of service

• Published in: IET control theory & applications Vol. 14; no. 11; pp. 1438 - 1444
• Main Authors: Qu, Hanqing, Zhao, Jun
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 23.07.2020
• Subjects: asymptotic stability; asynchronous switching; attack rate; control system synthesis; denial‐of‐service attacks; DoS attacks; linear systems; Lyapunov methods; nonswitched systems; presented switching signals; Research Article; sampled data systems; stability; switched linear systems subject; switched systems; system robustness; system stability; time‐varying systems; system stability; time-varying systems; attack rate; system robustness; control system synthesis; linear systems; asymptotic stability; sampled data systems; switched linear systems subject; switched systems; asynchronous switching; DoS attacks; denial-of-service attacks; nonswitched systems; presented switching signals; stability; Lyapunov methods
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2019.0914

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.