Input-to-state stabilization of linear systems with quantized feedback

Daniel M Liberzon; Dragan Nešić

doi:10.1109/CDC.2005.1583489

Input-to-state stabilization of linear systems with quantized feedback

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We consider the problem of achieving input-to-state stability (ISS) with respect to external disturbances for control systems with linear dynamics and quantized state measurements. Quantizers considered in this paper take finitely many values and have an adjustable "zoom" parameter. Building on an approach applied previously to systems with no disturbances, we develop a control methodology that counteracts an unknown disturbance by switching repeatedly between "zooming out" and "zooming in". Two specific control strategies that yield ISS are presented. The first one is implemented in continuous time, while the second one incorporates time sampling. We discover that in the presence of disturbances, time-sampling implementation requires an additional modification which has not been considered in previous work.

Original language	English (US)
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	8197-8202
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583489
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Other

Other	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 12/15/05

ASJC Scopus subject areas

Engineering(all)

Online availability

10.1109/CDC.2005.1583489

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Liberzon, D. M., & Nešić, D. (2005). Input-to-state stabilization of linear systems with quantized feedback. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 8197-8202). [1583489] (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583489

Input-to-state stabilization of linear systems with quantized feedback. / Liberzon, Daniel M; Nešić, Dragan.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 8197-8202 1583489 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Liberzon, DM & Nešić, D 2005, Input-to-state stabilization of linear systems with quantized feedback. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1583489, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 8197-8202, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583489

Liberzon DM, Nešić D. Input-to-state stabilization of linear systems with quantized feedback. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 8197-8202. 1583489. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583489

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Input-to-state stabilization of linear systems with quantized feedback

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