Robust polytopic H∞ control of linear retarded state-multiplicative stochastic systems

Eli Gershon; Nadav Berman; Uri Shaked

doi:10.1109/MED.2011.5983196

Robust polytopic H_∞ control of linear retarded state-multiplicative stochastic systems

Eli Gershon, Nadav Berman, Uri Shaked

Department of Mechanical Engineering

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

1 Scopus citations

Abstract

Linear, state delayed, continuous-time systems are considered with both stochastic and polytopic type uncertainties in the state-space model. The problem of robust state-feedback and dynamic H_∞ output-feedback control are solved, for the stationary case, via the input-output approach where the system is replaced by a nonretarded system having deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H_∞ performance cost with respect to the stochastic parameters.

Original language	English
Title of host publication	2011 19th Mediterranean Conference on Control and Automation, MED 2011
Pages	1433-1438
Number of pages	6
DOIs	https://doi.org/10.1109/MED.2011.5983196
State	Published - 8 Sep 2011
Event	2011 19th Mediterranean Conference on Control and Automation, MED 2011 - Corfu, Greece Duration: 20 Jun 2011 → 23 Jun 2011

Publication series

Name	2011 19th Mediterranean Conference on Control and Automation, MED 2011

Conference

Conference	2011 19th Mediterranean Conference on Control and Automation, MED 2011
Country/Territory	Greece
City	Corfu
Period	20/06/11 → 23/06/11

Keywords

Robust Stochastic H control
polytopic uncertain systems
time-delay systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/MED.2011.5983196

Cite this

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title = "Robust polytopic H∞ control of linear retarded state-multiplicative stochastic systems",

abstract = "Linear, state delayed, continuous-time systems are considered with both stochastic and polytopic type uncertainties in the state-space model. The problem of robust state-feedback and dynamic H∞ output-feedback control are solved, for the stationary case, via the input-output approach where the system is replaced by a nonretarded system having deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H∞ performance cost with respect to the stochastic parameters.",

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Gershon, E, Berman, N & Shaked, U 2011, Robust polytopic H_∞ control of linear retarded state-multiplicative stochastic systems. in 2011 19th Mediterranean Conference on Control and Automation, MED 2011., 5983196, 2011 19th Mediterranean Conference on Control and Automation, MED 2011, pp. 1433-1438, 2011 19th Mediterranean Conference on Control and Automation, MED 2011, Corfu, Greece, 20/06/11. https://doi.org/10.1109/MED.2011.5983196

Robust polytopic H_∞ control of linear retarded state-multiplicative stochastic systems. / Gershon, Eli; Berman, Nadav; Shaked, Uri.
2011 19th Mediterranean Conference on Control and Automation, MED 2011. 2011. p. 1433-1438 5983196 (2011 19th Mediterranean Conference on Control and Automation, MED 2011).

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

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