Stochastic linear retarded systems: Robust vertex-dependent H∞ control via measurement-feedback

Eli Gershon; Uri Shaked

doi:10.1109/MED.2017.7984188

Stochastic linear retarded systems: Robust vertex-dependent H_∞ control via measurement-feedback

Eli Gershon, Uri Shaked

School of Electrical Engineering

Holon Institute of Technology

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

Abstract

We consider linear, state-delayed, discrete-time systems with stochastic uncertainties in their state-space model. The problem of robust H_∞ static output-feedback control is solved, for the stationary case, via the input-output approach by which the system is replaced by a non-retarded system with deterministic norm-bounded uncertainties. Based on the BRL result of the above systems, solutions are obtained for nominal and uncertain polytopic systems, where for the former, a single LMI solution is obtained and where in the latter a vertex-dependent approach is adopted. In both problems, a cost function is defined which is the expected value of the standard H_∞ performance index with respect to the multiplicative noise.

Original language	English
Title of host publication	2017 25th Mediterranean Conference on Control and Automation, MED 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	631-636
Number of pages	6
ISBN (Electronic)	9781509045334
DOIs	https://doi.org/10.1109/MED.2017.7984188
State	Published - 18 Jul 2017
Event	25th Mediterranean Conference on Control and Automation, MED 2017 - Valletta, Malta Duration: 3 Jul 2017 → 6 Jul 2017

Publication series

Name	2017 25th Mediterranean Conference on Control and Automation, MED 2017

Conference

Conference	25th Mediterranean Conference on Control and Automation, MED 2017
Country/Territory	Malta
City	Valletta
Period	3/07/17 → 6/07/17

Funding

Funders	Funder number
SI Organization
llinois Institute of Technology	HIT
Haldia Institute of Technology
Tel Aviv University	69978

Keywords

Input-output
Retarded discrete-time systems
Zero-order control

Access to Document

10.1109/MED.2017.7984188

Cite this

Gershon, E., & Shaked, U. (2017). Stochastic linear retarded systems: Robust vertex-dependent H_∞ control via measurement-feedback. In 2017 25th Mediterranean Conference on Control and Automation, MED 2017 (pp. 631-636). Article 7984188 (2017 25th Mediterranean Conference on Control and Automation, MED 2017). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2017.7984188

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Gershon, E & Shaked, U 2017, Stochastic linear retarded systems: Robust vertex-dependent H_∞ control via measurement-feedback. in 2017 25th Mediterranean Conference on Control and Automation, MED 2017., 7984188, 2017 25th Mediterranean Conference on Control and Automation, MED 2017, Institute of Electrical and Electronics Engineers Inc., pp. 631-636, 25th Mediterranean Conference on Control and Automation, MED 2017, Valletta, Malta, 3/07/17. https://doi.org/10.1109/MED.2017.7984188

Stochastic linear retarded systems: Robust vertex-dependent H_∞ control via measurement-feedback. / Gershon, Eli; Shaked, Uri.
2017 25th Mediterranean Conference on Control and Automation, MED 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 631-636 7984188 (2017 25th Mediterranean Conference on Control and Automation, MED 2017).

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

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Gershon E, Shaked U. Stochastic linear retarded systems: Robust vertex-dependent H_∞ control via measurement-feedback. In 2017 25th Mediterranean Conference on Control and Automation, MED 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 631-636. 7984188. (2017 25th Mediterranean Conference on Control and Automation, MED 2017). doi: 10.1109/MED.2017.7984188