Abstract
Feedback control design is considered for stabilizing a discrete-time switched system with time-varying delay and time-varying uncertainty. In particular, we establish a practical method to construct feedback controllers to stabilize the system without requiring knowledge of the time-varying delay. First, we design feedback controllers which stabilize a non delayed switched system with time-varying uncertainty for any switching rule. Then, we quantify the maximum size of the time-varying delay which guarantees stability of the system of interest regardless of time-varying uncertainty. We achieve this via multiple Lyapunov functionals and the linear matrix inequalities framework.
| Original language | English |
|---|---|
| Pages (from-to) | 142-147 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 40 |
| Issue number | 20 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
| Event | 3rd IFAC Symposium on System Structure and Control, SSSC 2007 - Foz do Iguassu, Brazil Duration: Oct 17 2007 → Oct 19 2007 |
Keywords
- Discrete-time switched systems
- Lyapunov functionals
- feedback control
- linear matrix inequalities (LMIs)
- time-varying delay
- time-varying uncertainty
ASJC Scopus subject areas
- Control and Systems Engineering