In this paper, we address the stahilizability of uncertain systems in the presence of finite data-rate feedback. In our formulation, a finite data-rate link is used to transmit state measurements between the plant and the controller. We determine sufficient conditions for internal and external stabilizability of the feedback loop. Stability in the presence of uncertainty in the plant is analyzed using a small-gain argument. We show that larger uncertainty can be tolerated at the expense of higher transmission rates, A comparison is established between the sufficient conditions for robust stabilizability and the necessary conditions for the stability of the nominal model. We also suggest how our results can be used to determine the stabilizability of a class of non-linear systems.
|Original language||English (US)|
|Number of pages||6|
|Journal||IFAC Proceedings Volumes (IFAC-PapersOnline)|
|State||Published - 2004|
|Event||6th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2004 - Stuttgart, Germany|
Duration: Sep 1 2004 → Sep 3 2004
Bibliographical noteFunding Information:
The authors would like to thank Prof. Sekhar Tatikonda (Yale University) for providing pre-print papers comprising some of his most recent results. We also would like to thank Prof. Sanjoy Mitter (M.LT.) for giving valuable motivation. This work was sponsored by the University of California - Los Angeles, MURI project title: "Cooperative Control ofDistributed Autonomous Vehicles in Adversarial Environments", award: 0205-G-CB222. Nuno C. Martins was partially supported by the Portuguese Foundation for Science and Technology and the European Social Fund, PRAXIS BD19630/99. Nicola Elia has been supported by NSF under the Career Award grant number ECS-0093950.
Copyright © 2004 IFAC.
- Information constraints