Dynamic output-feedback H∞ control for continuous-time singular Markovian jump systems

Chan Eun Park; Nam Kyu Kwon; Poo Gyeon Park

doi:10.1002/rnc.4093

Dynamic output-feedback H_∞ control for continuous-time singular Markovian jump systems

Chan Eun Park
, Nam Kyu Kwon
, Poo Gyeon Park

School of Electronics Engineering

Pohang University of Science and Technology

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

This paper considers a dynamic output-feedback H_∞ control for continuous-time singular Markovian jump systems, whereas the existing research studies in literature focused on state-feedback or static output-feedback H_∞ control. While they have only provided the sufficient conditions, this paper successfully obtains the necessary and sufficient condition for the existence of the dynamic output-feedback H_∞ control. Furthermore, this condition is expressed with linear matrix inequalities by the so-called replacement technique. Two numerical examples show the validity of the resulting control.

Original language	English
Pages (from-to)	3521-3531
Number of pages	11
Journal	International Journal of Robust and Nonlinear Control
Volume	28
Issue number	11
DOIs	https://doi.org/10.1002/rnc.4093
State	Published - 25 Jul 2018

Keywords

control
dynamic output-feedback control
linear matrix inequality
singular Markovian jump system

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10.1002/rnc.4093

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abstract = "This paper considers a dynamic output-feedback H∞ control for continuous-time singular Markovian jump systems, whereas the existing research studies in literature focused on state-feedback or static output-feedback H∞ control. While they have only provided the sufficient conditions, this paper successfully obtains the necessary and sufficient condition for the existence of the dynamic output-feedback H∞ control. Furthermore, this condition is expressed with linear matrix inequalities by the so-called replacement technique. Two numerical examples show the validity of the resulting control.",

keywords = "control, dynamic output-feedback control, linear matrix inequality, singular Markovian jump system",

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AB - This paper considers a dynamic output-feedback H∞ control for continuous-time singular Markovian jump systems, whereas the existing research studies in literature focused on state-feedback or static output-feedback H∞ control. While they have only provided the sufficient conditions, this paper successfully obtains the necessary and sufficient condition for the existence of the dynamic output-feedback H∞ control. Furthermore, this condition is expressed with linear matrix inequalities by the so-called replacement technique. Two numerical examples show the validity of the resulting control.

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KW - linear matrix inequality

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Dynamic output-feedback H_∞ control for continuous-time singular Markovian jump systems

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Keywords

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