Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty

In Seok Park; Chan Eun Park; Poogyeon Park

doi:10.1109/APCCAS47518.2019.8953150

Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty

In Seok Park
, Chan Eun Park
, Poogyeon Park

School of Electronics Engineering

Pohang University of Science and Technology

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

Abstract

This paper investigates the design problem for dynamic output-feedback control of descriptor Markovian jump T-S fuzzy systems with model uncertainty. Firstly, the admissibility criterion for the descriptor Markovian jump T-S fuzzy systems is proposed. Then, based on the assumption with respect to the model uncertainty, the closed-loop system is obtained with the mode-dependent dynamic output-feedback T-S fuzzy controller. For the obtained closed-loop system, a sufficient condition for the stochastic admissibility criterion is provided and then successfully converted into parameterized linear matrix inequalities. By appropriately choosing the structures of variables, the linear matrix inequalities are obtained as a sufficient condition for the parameterized linear matrix inequalities. Finally, this paper demonstrates the feasibility of the proposed control by providing a numerical example.

Original language	English
Title of host publication	Proceedings - APCCAS 2019
Subtitle of host publication	2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	141-144
Number of pages	4
ISBN (Electronic)	9781728129402
DOIs	https://doi.org/10.1109/APCCAS47518.2019.8953150
State	Published - Nov 2019
Event	15th Annual IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2019 - Bangkok, Thailand Duration: 11 Nov 2019 → 14 Nov 2019

Publication series

Name	Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption

Conference

Conference	15th Annual IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2019
Country/Territory	Thailand
City	Bangkok
Period	11/11/19 → 14/11/19

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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10.1109/APCCAS47518.2019.8953150

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Park, I. S., Park, C. E., & Park, P. (2019). Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty. In Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption (pp. 141-144). Article 8953150 (Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APCCAS47518.2019.8953150

Park, In Seok ; Park, Chan Eun ; Park, Poogyeon. / Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty. Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 141-144 (Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption).

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title = "Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty",

abstract = "This paper investigates the design problem for dynamic output-feedback control of descriptor Markovian jump T-S fuzzy systems with model uncertainty. Firstly, the admissibility criterion for the descriptor Markovian jump T-S fuzzy systems is proposed. Then, based on the assumption with respect to the model uncertainty, the closed-loop system is obtained with the mode-dependent dynamic output-feedback T-S fuzzy controller. For the obtained closed-loop system, a sufficient condition for the stochastic admissibility criterion is provided and then successfully converted into parameterized linear matrix inequalities. By appropriately choosing the structures of variables, the linear matrix inequalities are obtained as a sufficient condition for the parameterized linear matrix inequalities. Finally, this paper demonstrates the feasibility of the proposed control by providing a numerical example.",

author = "Park, \{In Seok\} and Park, \{Chan Eun\} and Poogyeon Park",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 15th Annual IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2019 ; Conference date: 11-11-2019 Through 14-11-2019",

year = "2019",

month = nov,

doi = "10.1109/APCCAS47518.2019.8953150",

language = "English",

series = "Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "Proceedings - APCCAS 2019",

address = "United States",

}

Park, IS, Park, CE & Park, P 2019, Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty. in Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption., 8953150, Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption, Institute of Electrical and Electronics Engineers Inc., pp. 141-144, 15th Annual IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2019, Bangkok, Thailand, 11/11/19. https://doi.org/10.1109/APCCAS47518.2019.8953150

Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty. / Park, In Seok; Park, Chan Eun; Park, Poogyeon.
Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption. Institute of Electrical and Electronics Engineers Inc., 2019. p. 141-144 8953150 (Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption).

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

TY - GEN

T1 - Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty

AU - Park, In Seok

AU - Park, Chan Eun

AU - Park, Poogyeon

PY - 2019/11

Y1 - 2019/11

N2 - This paper investigates the design problem for dynamic output-feedback control of descriptor Markovian jump T-S fuzzy systems with model uncertainty. Firstly, the admissibility criterion for the descriptor Markovian jump T-S fuzzy systems is proposed. Then, based on the assumption with respect to the model uncertainty, the closed-loop system is obtained with the mode-dependent dynamic output-feedback T-S fuzzy controller. For the obtained closed-loop system, a sufficient condition for the stochastic admissibility criterion is provided and then successfully converted into parameterized linear matrix inequalities. By appropriately choosing the structures of variables, the linear matrix inequalities are obtained as a sufficient condition for the parameterized linear matrix inequalities. Finally, this paper demonstrates the feasibility of the proposed control by providing a numerical example.

AB - This paper investigates the design problem for dynamic output-feedback control of descriptor Markovian jump T-S fuzzy systems with model uncertainty. Firstly, the admissibility criterion for the descriptor Markovian jump T-S fuzzy systems is proposed. Then, based on the assumption with respect to the model uncertainty, the closed-loop system is obtained with the mode-dependent dynamic output-feedback T-S fuzzy controller. For the obtained closed-loop system, a sufficient condition for the stochastic admissibility criterion is provided and then successfully converted into parameterized linear matrix inequalities. By appropriately choosing the structures of variables, the linear matrix inequalities are obtained as a sufficient condition for the parameterized linear matrix inequalities. Finally, this paper demonstrates the feasibility of the proposed control by providing a numerical example.

UR - https://www.scopus.com/pages/publications/85078705297

U2 - 10.1109/APCCAS47518.2019.8953150

DO - 10.1109/APCCAS47518.2019.8953150

M3 - Conference contribution

AN - SCOPUS:85078705297

T3 - Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption

SP - 141

EP - 144

BT - Proceedings - APCCAS 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 15th Annual IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2019

Y2 - 11 November 2019 through 14 November 2019

ER -

Park IS, Park CE, Park P. Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty. In Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption. Institute of Electrical and Electronics Engineers Inc. 2019. p. 141-144. 8953150. (Proceedings - APCCAS 2019: 2019 IEEE Asia Pacific Conference on Circuits and Systems: Innovative CAS Towards Sustainable Energy and Technology Disruption). doi: 10.1109/APCCAS47518.2019.8953150

Dynamic output-feedback control for descriptor Markovian jump T-S fuzzy systems with model uncertainty

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