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New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach
- Source :
- IEEE Transactions on Automatic Control. 62:3502-3509
- Publication Year :
- 2017
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2017.
-
Abstract
- In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, new stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained.
- Subjects :
- Lyapunov function
0209 industrial biotechnology
02 engineering and technology
Stability (probability)
Computer Science Applications
Dwell time
Stability conditions
symbols.namesake
Nonlinear system
020901 industrial engineering & automation
Cover (topology)
Control and Systems Engineering
Control theory
Quadratic form
0202 electrical engineering, electronic engineering, information engineering
symbols
020201 artificial intelligence & image processing
Electrical and Electronic Engineering
Lyapunov redesign
Mathematics
Subjects
Details
- ISSN :
- 15582523 and 00189286
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Automatic Control
- Accession number :
- edsair.doi...........c3559fed47afd4b1cd910b949c70ff85
- Full Text :
- https://doi.org/10.1109/tac.2016.2614911