Reduced-order model approximation of fuzzy switched systems with pre-specified performance

Xiaojie SU; Xinxin LIU; Yong-Duan SONG; Hak Keung LAM; Lei WANG

doi:10.1016/j.ins.2016.08.012

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

Xiaojie SU^*
, Xinxin LIU
, Yong-Duan SONG
, Hak Keung LAM
, Lei WANG

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

8 Citations (Scopus)

Abstract

The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via Takagi-Sugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma. The algorithm of the reduced-order hybrid switched model parameters is designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.

Original language	English
Pages (from-to)	538-550
Number of pages	13
Journal	Information Sciences
Volume	370-371
Early online date	8 Aug 2016
DOIs	https://doi.org/10.1016/j.ins.2016.08.012
Publication status	Published - 20 Nov 2016
Externally published	Yes

Funding

This work was partially supported by the National Natural Science Foundation of China ( 61403048 ), the National Key Basic Research Program (973), China (2014CB249200), the Frontier and Applied Basic Research Projects Funded by Chongqing Science and Technology Commission (cstc2015jcyjA40005, cstc2014jcyjA90005), and the Fundamental Research Funds for the Central Universities (106112016CDJZR175509, 106112015CDJXY170001, CDJZR175501).

Keywords

Hybrid systems
Model approximation
Model reduction
Reduced-order systems
Switched systems

Access to Document

10.1016/j.ins.2016.08.012

Cite this

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title = "Reduced-order model approximation of fuzzy switched systems with pre-specified performance",

abstract = "The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via Takagi-Sugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma. The algorithm of the reduced-order hybrid switched model parameters is designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.",

keywords = "Hybrid systems, Model approximation, Model reduction, Reduced-order systems, Switched systems",

author = "Xiaojie SU and Xinxin LIU and Yong-Duan SONG and LAM, \{Hak Keung\} and Lei WANG",

year = "2016",

month = nov,

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doi = "10.1016/j.ins.2016.08.012",

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T1 - Reduced-order model approximation of fuzzy switched systems with pre-specified performance

AU - SU, Xiaojie

AU - LIU, Xinxin

AU - SONG, Yong-Duan

AU - LAM, Hak Keung

AU - WANG, Lei

PY - 2016/11/20

Y1 - 2016/11/20

N2 - The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via Takagi-Sugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma. The algorithm of the reduced-order hybrid switched model parameters is designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.

AB - The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via Takagi-Sugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H∞ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma. The algorithm of the reduced-order hybrid switched model parameters is designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.

KW - Hybrid systems

KW - Model approximation

KW - Model reduction

KW - Reduced-order systems

KW - Switched systems

UR - https://www.scopus.com/pages/publications/84983681734

U2 - 10.1016/j.ins.2016.08.012

DO - 10.1016/j.ins.2016.08.012

M3 - Journal Article (refereed)

AN - SCOPUS:84983681734

SN - 0020-0255

VL - 370-371

SP - 538

EP - 550

JO - Information Sciences

JF - Information Sciences

ER -

Reduced-order model approximation of fuzzy switched systems with pre-specified performance

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Funding

Keywords

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