H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems

Eli Gershon; Uri Shaked

doi:10.1109/MED.2014.6961595

H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems

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

The problem of dynamic output-feedback control is solved for linear retarded discrete-time state multiplicative stochastic systems. The stochastic white noise sequences multiply both the delayed and the non-delayed states and the input signal of the systems. The problem is solved, for the stationary case, for both nominal and uncertain polytopic systems, via the input-output approach by which the system is replaced by a nonretarded system with deterministic norm-bounded uncertainties. In both cases, a cost function is defined which is the expected value of the standard H∞ performance index with respect to the uncertain parameters.

Original language	English
Title of host publication	2014 22nd Mediterranean Conference on Control and Automation, MED 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1547-1552
Number of pages	6
ISBN (Electronic)	9781479959006
DOIs	https://doi.org/10.1109/MED.2014.6961595
State	Published - 18 Nov 2014
Event	22nd Mediterranean Conference on Control and Automation, MED 2014 - Palermo, Italy Duration: 16 Jun 2014 → 19 Jun 2014

Publication series

Name	2014 22nd Mediterranean Conference on Control and Automation, MED 2014

Conference

Conference	22nd Mediterranean Conference on Control and Automation, MED 2014
Country/Territory	Italy
City	Palermo
Period	16/06/14 → 19/06/14

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10.1109/MED.2014.6961595

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Gershon, E., & Shaked, U. (2014). H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems. In 2014 22nd Mediterranean Conference on Control and Automation, MED 2014 (pp. 1547-1552). Article 6961595 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2014.6961595

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abstract = "The problem of dynamic output-feedback control is solved for linear retarded discrete-time state multiplicative stochastic systems. The stochastic white noise sequences multiply both the delayed and the non-delayed states and the input signal of the systems. The problem is solved, for the stationary case, for both nominal and uncertain polytopic systems, via the input-output approach by which the system is replaced by a nonretarded system with deterministic norm-bounded uncertainties. In both cases, a cost function is defined which is the expected value of the standard H∞ performance index with respect to the uncertain parameters.",

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Gershon, E & Shaked, U 2014, H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems. in 2014 22nd Mediterranean Conference on Control and Automation, MED 2014., 6961595, 2014 22nd Mediterranean Conference on Control and Automation, MED 2014, Institute of Electrical and Electronics Engineers Inc., pp. 1547-1552, 22nd Mediterranean Conference on Control and Automation, MED 2014, Palermo, Italy, 16/06/14. https://doi.org/10.1109/MED.2014.6961595

H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems. / Gershon, Eli; Shaked, Uri.
2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1547-1552 6961595 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014).

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

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Gershon E, Shaked U. H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems. In 2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 1547-1552. 6961595. (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). doi: 10.1109/MED.2014.6961595

H∞ dynamic output-feedback control of retarded state-multiplicative discrete time systems

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