Input-to-state stability for discrete-time non-linear switched singular systems
- Author(s): Jie Lian 1 ; Can Li 1 ; Dan Liu 1
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View affiliations
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Affiliations:
1:
Faculty of Electronic Information and Electrical Engineering , Dalian University of Technology , Dalian 116024 , People's Republic of China
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Affiliations:
1:
Faculty of Electronic Information and Electrical Engineering , Dalian University of Technology , Dalian 116024 , People's Republic of China
- Source:
Volume 11, Issue 16,
03
November
2017,
p.
2893 – 2899
DOI: 10.1049/iet-cta.2017.0028 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study investigates the input-to-state stability (ISS) for a class of discrete-time non-linear switched singular systems. Two novel ISS criteria are proposed based on multiple Lyapunov functions method. In one case that all subsystems are input-to-state stable (ISS) but the system stability may be destroyed by the switching, the average dwell time switching algorithm is applied to guarantee the ISS of the whole system. In other case that all subsystems can be unstable, the state-dependent switching rule is designed to stabilise the system and ensure the ISS of the switched singular system. Finally, simulation examples are provided to illustrate the feasibility of the obtained results.
Inspec keywords: stability criteria; discrete time systems; switching systems (control); control system synthesis; nonlinear control systems; Lyapunov methods
Other keywords: multiple Lyapunov functions; ISS criteria; input-to-state stability; system stability; dwell time switching algorithm; state-dependent switching rule design; discrete-time nonlinear switched singular systems
Subjects: Nonlinear control systems; Control system analysis and synthesis methods; Time-varying control systems; Stability in control theory; Discrete control systems
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