Abstract
A novel concept of limit inferior (Formula presented.) -dependent average dwell time (L (Formula presented.) DADT) is first proposed, which is a generalization of various existing concepts of dwell time. Based on the L (Formula presented.) DADT scheme and the multiple Lyapunov function approach, some new sufficient conditions for stability and stabilization of switched systems are established by introducing some inequalities. Those criteria acquired contain most of the established ones based on ADT, limiting ADT, mode-dependent ADT, (Formula presented.) -dependent ADT, etc. Specifically, the stability and stabilization criteria for switched linear systems are listed as linear matrix inequalities that can be examined and calculated easily by the LMI toolbox in Matlab. At last, three typical numerical examples are presented for illustrating the effectiveness and validity of the L (Formula presented.) DADT scheme presented in this paper.
| Original language | English |
|---|---|
| Pages (from-to) | 565-581 |
| Number of pages | 17 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 31 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2021 Jan 25 |
Keywords
- average dwell time
- multiple Lyapunov functions
- stability and stabilization
- switched systems
- Φ-dependent average dwell time
ASJC Scopus subject areas
- Control and Systems Engineering
- Chemical Engineering(all)
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering