Abstract
This paper presents the stability problem of a class of discrete-time switched nonlinear systems with unstable subsystems. The Takagi and Sugeno (T-S) fuzzy model is applied to close the discrete-time nonlinear subsystems. By utilizing the multiple Lyapunov functions (MLFs) and mode-dependent average dwell time (MDADT) method, the stability condition for discrete-time switched nonlinear systems comprising stable and unstable nonlinear subsystems is obtained. Then, based on the result for discrete-time switched nonlinear systems, the computable sufficient condition in terms of a set of linear matrix inequalities is derived to guarantee exponential stable of the switched T-S fuzzy system. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 1967-1971 |
| Number of pages | 5 |
| Journal | Neurocomputing |
| Volume | 173 |
| DOIs | |
| State | Published - 15 Jan 2016 |
| Externally published | Yes |
Keywords
- Discrete-time switched systems
- Fuzzy control systems
- Multiple Lyapunov function
Fingerprint
Dive into the research topics of 'Stability analysis of discrete-time switched nonlinear systems via T-S fuzzy model approach'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver