Robust H∞ Stabilization of Uncertain T-S Fuzzy Systems via Dynamic Integral Sliding Mode Control

Qing Gao; He Huang; Gang Feng; Lu Liu; Yong Wang

doi:10.3182/20130902-3-CN-3020.00047

Robust H_∞ Stabilization of Uncertain T-S Fuzzy Systems via Dynamic Integral Sliding Mode Control

Qing Gao, He Huang, Gang Feng, Lu Liu, Yong Wang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

This paper addresses the integral sliding mode control (ISMC) design problem for nonlinear systems represented by T-S fuzzy systems with norm bounded parameter uncertainties. It is noted that most existing fuzzy ISMC approaches rely on a very restrictive assumption that all subsystems of the T-S fuzzy systems share the same input gain matrix. In order to remove this assumption, we proposed a novel dynamic integral sliding mode control scheme for T-S fuzzy systems. Reachability of the integral sliding surface is analyzed and asymptotic stability of the sliding motion are guaranteed if a set of linear matrix inequalities is feasible. Simulation results from a numerical example are provided to illustrate the effectiveness and advantages of the proposed approaches.

Original language	English
Pages (from-to)	485-490
Journal	IFAC Proceedings Volumes (IFAC-PapersOnline)
Volume	46
Issue number	20
DOIs	https://doi.org/10.3182/20130902-3-CN-3020.00047
Publication status	Published - 2013
Event	3rd IFAC International Conference on Intelligent Control and Automation Science, ICONS 2013 - Chengdu, China Duration: 2 Sept 2013 → 4 Sept 2013 https://www.ece.uic.edu/~dliu/C/ICONS-2013.pdf

Research Keywords

model free adaptive ILC
farm vehicles
path tracking

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title = "Robust H∞ Stabilization of Uncertain T-S Fuzzy Systems via Dynamic Integral Sliding Mode Control",

abstract = "This paper addresses the integral sliding mode control (ISMC) design problem for nonlinear systems represented by T-S fuzzy systems with norm bounded parameter uncertainties. It is noted that most existing fuzzy ISMC approaches rely on a very restrictive assumption that all subsystems of the T-S fuzzy systems share the same input gain matrix. In order to remove this assumption, we proposed a novel dynamic integral sliding mode control scheme for T-S fuzzy systems. Reachability of the integral sliding surface is analyzed and asymptotic stability of the sliding motion are guaranteed if a set of linear matrix inequalities is feasible. Simulation results from a numerical example are provided to illustrate the effectiveness and advantages of the proposed approaches.",

keywords = "model free adaptive ILC, farm vehicles, path tracking",

author = "Qing Gao and He Huang and Gang Feng and Lu Liu and Yong Wang",

year = "2013",

doi = "10.3182/20130902-3-CN-3020.00047",

language = "English",

volume = "46",

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journal = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

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note = "3rd IFAC International Conference on Intelligent Control and Automation Science, ICONS 2013 ; Conference date: 02-09-2013 Through 04-09-2013",

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TY - JOUR

T1 - Robust H∞ Stabilization of Uncertain T-S Fuzzy Systems via Dynamic Integral Sliding Mode Control

AU - Gao, Qing

AU - Huang, He

AU - Feng, Gang

AU - Liu, Lu

AU - Wang, Yong

PY - 2013

Y1 - 2013

N2 - This paper addresses the integral sliding mode control (ISMC) design problem for nonlinear systems represented by T-S fuzzy systems with norm bounded parameter uncertainties. It is noted that most existing fuzzy ISMC approaches rely on a very restrictive assumption that all subsystems of the T-S fuzzy systems share the same input gain matrix. In order to remove this assumption, we proposed a novel dynamic integral sliding mode control scheme for T-S fuzzy systems. Reachability of the integral sliding surface is analyzed and asymptotic stability of the sliding motion are guaranteed if a set of linear matrix inequalities is feasible. Simulation results from a numerical example are provided to illustrate the effectiveness and advantages of the proposed approaches.

AB - This paper addresses the integral sliding mode control (ISMC) design problem for nonlinear systems represented by T-S fuzzy systems with norm bounded parameter uncertainties. It is noted that most existing fuzzy ISMC approaches rely on a very restrictive assumption that all subsystems of the T-S fuzzy systems share the same input gain matrix. In order to remove this assumption, we proposed a novel dynamic integral sliding mode control scheme for T-S fuzzy systems. Reachability of the integral sliding surface is analyzed and asymptotic stability of the sliding motion are guaranteed if a set of linear matrix inequalities is feasible. Simulation results from a numerical example are provided to illustrate the effectiveness and advantages of the proposed approaches.

KW - model free adaptive ILC

KW - farm vehicles

KW - path tracking

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U2 - 10.3182/20130902-3-CN-3020.00047

DO - 10.3182/20130902-3-CN-3020.00047

M3 - RGC 21 - Publication in refereed journal

SN - 1474-6670

VL - 46

SP - 485

EP - 490

JO - IFAC Proceedings Volumes (IFAC-PapersOnline)

JF - IFAC Proceedings Volumes (IFAC-PapersOnline)

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T2 - 3rd IFAC International Conference on Intelligent Control and Automation Science, ICONS 2013

Y2 - 2 September 2013 through 4 September 2013

ER -