Abstract
In this paper, we study the effect of a network in the feedback loop of a control system. We use a stochastic packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H∞ norm and compute this norm via a necessary and sufficient matrix inequality condition. We also derive necessary and sufficient linear matrix inequality (LMI) conditions for the synthesis of the H∞ optimal controller for a discrete-time jump system. Finally, we apply these results to study the effect of communication losses on vehicle control.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 356-364 |
| Number of pages | 9 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 50 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2005 |
Bibliographical note
Funding Information:Manuscript received January 15, 2003; revised October 1, 2004. Recommended by Associate Editor C. D. Charalambous. This work was supported in part by the Office of Naval Research (ONR) under Grant N00014-00-1-0621. P. Seiler is with Honeywell, Minneapolis, MN 55402 USA (e-mail: peter.j.seiler@honeywell.com). R. Sengupta is with the Department of Civil Engineering, University of California, Berkeley, Berkeley, CA 94720 USA (e-mail: raja@path.berkeley.edu). Digital Object Identifier 10.1109/TAC.2005.844177
Keywords
- H∞ norm
- Jump systems
- Networked control
- Vehicle control
- Wireless networks