Robust sampled-data control of linear singularly perturbed systems

E. Fridman

doi:10.1109/CDC.2005.1582842

Robust sampled-data control of linear singularly perturbed systems

E. Fridman^*

^*Corresponding author for this work

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

5 Scopus citations

Abstract

State-feedback H_∞ control problem for linear singularly perturbed systems with norm-bounded uncertainties is studied. The fast variables are sampled with fast rates, while for the slow variables both cases of slow and of fast sampling are considered. The recent 'input delay' approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear Matrix Inequalities (LMIs) criteria are derived for stability and stabilization via input-output approach to stability and L₂-gain analysis of time-delay systems. Numerical example illustrates the efficiency of the method.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	4324-4329
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582842
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

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

Conference

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

Keywords

H control
LMI
Sampled-data control
Singularly perturbed systems
Time-varying delay

Access to Document

10.1109/CDC.2005.1582842

Cite this

Fridman, E. (2005). Robust sampled-data control of linear singularly perturbed systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 4324-4329). Article 1582842 (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.2005.1582842

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title = "Robust sampled-data control of linear singularly perturbed systems",

abstract = "State-feedback H∞ control problem for linear singularly perturbed systems with norm-bounded uncertainties is studied. The fast variables are sampled with fast rates, while for the slow variables both cases of slow and of fast sampling are considered. The recent 'input delay' approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear Matrix Inequalities (LMIs) criteria are derived for stability and stabilization via input-output approach to stability and L2-gain analysis of time-delay systems. Numerical example illustrates the efficiency of the method.",

keywords = "H control, LMI, Sampled-data control, Singularly perturbed systems, Time-varying delay",

author = "E. Fridman",

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doi = "10.1109/CDC.2005.1582842",

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booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

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Fridman, E 2005, Robust sampled-data control of linear singularly perturbed systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582842, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 4324-4329, 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.2005.1582842

Robust sampled-data control of linear singularly perturbed systems. / Fridman, E.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 4324-4329 1582842 (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 › peer-review

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AB - State-feedback H∞ control problem for linear singularly perturbed systems with norm-bounded uncertainties is studied. The fast variables are sampled with fast rates, while for the slow variables both cases of slow and of fast sampling are considered. The recent 'input delay' approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear Matrix Inequalities (LMIs) criteria are derived for stability and stabilization via input-output approach to stability and L2-gain analysis of time-delay systems. Numerical example illustrates the efficiency of the method.

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KW - Sampled-data control

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Fridman E. Robust sampled-data control of linear singularly perturbed systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 4324-4329. 1582842. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582842

Robust sampled-data control of linear singularly perturbed systems

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