Abstract
In this paper, the problem of quantized feedback stabilization is approached from a generalized setting by designing a decentralized ℋ∞ feedback control for a class of linear interconnected continuous-time systems with unknown-but-bounded couplings and interval delays and where the quantizer has arbitrary form that satisfies a quadratic inequality constraint. An LMI-based method using a decentralized quantized output-feedback controller is designed at the subsystem level to render the closed-loop system delay-dependent asymptotically stable with guaranteed γ-level. It is established that this setting encompasses several special cases of interest including interconnected delay-free systems, single time-delay systems and single systems. We illustrate the theoretical developments by numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 1-17 |
| Number of pages | 17 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 2011 |
Bibliographical note
Funding Information:Deanship of Scientific Research at King Fahd University of Petroleum and Minerals through research project no. IN100018.
Keywords
- LMIs
- delay-dependent stabilization
- interconnected time-delay systems
- quantized feedback control
- quantizer
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics