Optimal control of discrete-time interval type-2 fuzzy-model-based systems with D-stability constraint and control saturation

Yabin Gao; Hongyi Li; Ligang Wu; Hamid Reza Karimi; Hak Keung Lam

doi:10.1016/j.sigpro.2015.09.007

Optimal control of discrete-time interval type-2 fuzzy-model-based systems with D-stability constraint and control saturation

Yabin Gao
, Hongyi Li^*
, Ligang Wu
, Hamid Reza Karimi
, Hak Keung Lam

^*Corresponding author for this work

School of Astronautics

Bohai University
University of Agder
King's College London

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

56 Scopus citations

Abstract

This paper investigates the optimal control problem for discrete-time interval type-2 (IT2) fuzzy systems with pole constraints. An IT2 fuzzy controller is characterized by two predefined functions, and the membership functions and the premise rules of the IT2 fuzzy controller can be chosen freely. The pole assignment is considered, which is constrained in a presented disk region. Based on Lyapunov stability theory, sufficient conditions of asymptotic stability with an H_∞ performance are obtained for the discrete-time IT2 fuzzy model based (FMB) system. Based on the criterion, the desired IT2 state-feedback controller is designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H_∞ performance condition and all the poles rest in the disk region. Finally, two numerical examples are shown to illustrate the effectiveness of the presented design scheme.

Original language	English
Pages (from-to)	409-421
Number of pages	13
Journal	Signal Processing
Volume	120
DOIs	https://doi.org/10.1016/j.sigpro.2015.09.007
State	Published - 1 Mar 2016

Keywords

D-stability
H control
Input constraints
Interval type-2 fuzzy system
T-S fuzzy model

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10.1016/j.sigpro.2015.09.007

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title = "Optimal control of discrete-time interval type-2 fuzzy-model-based systems with D-stability constraint and control saturation",

abstract = "This paper investigates the optimal control problem for discrete-time interval type-2 (IT2) fuzzy systems with pole constraints. An IT2 fuzzy controller is characterized by two predefined functions, and the membership functions and the premise rules of the IT2 fuzzy controller can be chosen freely. The pole assignment is considered, which is constrained in a presented disk region. Based on Lyapunov stability theory, sufficient conditions of asymptotic stability with an H∞ performance are obtained for the discrete-time IT2 fuzzy model based (FMB) system. Based on the criterion, the desired IT2 state-feedback controller is designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H∞ performance condition and all the poles rest in the disk region. Finally, two numerical examples are shown to illustrate the effectiveness of the presented design scheme.",

keywords = "D-stability, H control, Input constraints, Interval type-2 fuzzy system, T-S fuzzy model",

author = "Yabin Gao and Hongyi Li and Ligang Wu and Karimi, \{Hamid Reza\} and Lam, \{Hak Keung\}",

year = "2016",

month = mar,

day = "1",

doi = "10.1016/j.sigpro.2015.09.007",

language = "英语",

volume = "120",

pages = "409--421",

journal = "Signal Processing",

issn = "0165-1684",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Optimal control of discrete-time interval type-2 fuzzy-model-based systems with D-stability constraint and control saturation

AU - Gao, Yabin

AU - Li, Hongyi

AU - Wu, Ligang

AU - Karimi, Hamid Reza

AU - Lam, Hak Keung

PY - 2016/3/1

Y1 - 2016/3/1

N2 - This paper investigates the optimal control problem for discrete-time interval type-2 (IT2) fuzzy systems with pole constraints. An IT2 fuzzy controller is characterized by two predefined functions, and the membership functions and the premise rules of the IT2 fuzzy controller can be chosen freely. The pole assignment is considered, which is constrained in a presented disk region. Based on Lyapunov stability theory, sufficient conditions of asymptotic stability with an H∞ performance are obtained for the discrete-time IT2 fuzzy model based (FMB) system. Based on the criterion, the desired IT2 state-feedback controller is designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H∞ performance condition and all the poles rest in the disk region. Finally, two numerical examples are shown to illustrate the effectiveness of the presented design scheme.

AB - This paper investigates the optimal control problem for discrete-time interval type-2 (IT2) fuzzy systems with pole constraints. An IT2 fuzzy controller is characterized by two predefined functions, and the membership functions and the premise rules of the IT2 fuzzy controller can be chosen freely. The pole assignment is considered, which is constrained in a presented disk region. Based on Lyapunov stability theory, sufficient conditions of asymptotic stability with an H∞ performance are obtained for the discrete-time IT2 fuzzy model based (FMB) system. Based on the criterion, the desired IT2 state-feedback controller is designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H∞ performance condition and all the poles rest in the disk region. Finally, two numerical examples are shown to illustrate the effectiveness of the presented design scheme.

KW - D-stability

KW - H control

KW - Input constraints

KW - Interval type-2 fuzzy system

KW - T-S fuzzy model

UR - https://www.scopus.com/pages/publications/84946118101

U2 - 10.1016/j.sigpro.2015.09.007

DO - 10.1016/j.sigpro.2015.09.007

M3 - 文章

AN - SCOPUS:84946118101

SN - 0165-1684

VL - 120

SP - 409

EP - 421

JO - Signal Processing

JF - Signal Processing

ER -

Optimal control of discrete-time interval type-2 fuzzy-model-based systems with D-stability constraint and control saturation

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Keywords

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