NDLI: Robust H∞ tracking controller design for discrete-time affine fuzzy system using fuzzy Lyapunov method

Content Provider	IEEE Xplore Digital Library
Author	Liu Shanjian Shen Jiong Zhou Xia Pan Lei
Copyright Year	2015
Description	Author affiliation: Sch. of Energy & Environ., Southeast Univ., Nanjing, China (Liu Shanjian; Shen Jiong; Zhou Xia; Pan Lei)
Abstract	In this paper, the model reference tracking control problem is presented for the discrete-time affine fuzzy systems with external disturbances. The control scheme is based on $H_{∞}$ performance to eliminate the effect of disturbances below a prescribed level. Based on fuzzy Lyapunov functions, the sufficient conditions are derived in the terms of bilinear matrix inequalities (BMIs) to ensure the close-loop system is uniformly ultimately bounded (UUB). A solving algorithm is proposed to convert BMIs to linear matrix inequalities (LMIs), which can be solved by LMI toolbox easily. Finally, the fuzzy tracking controller design method is used for a boiler-turbine generator unit (BTGU). The simulation shows the proposed stability approach is valid.
Starting Page	3607
Ending Page	3612
File Size	397236
Page Count	6
File Format	PDF
ISBN	9789881563897
ISSN	19341768
DOI	10.1109/ChiCC.2015.7260196
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-07-28
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Technical Committee on Control Theory, Chinese Association of Automation
Subject Keyword	tracking control Design methodology stability analysis bilinear matrix inequalities (BMIs) Stability analysis Robustness Linear matrix inequalities PD control Affine fuzzy system boiler-turbine system Fuzzy systems Lyapunov methods
Content Type	Text
Resource Type	Article

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