Research PaperNo Access

Improved-equivalent-input-disturbance-based preview repetitive control for Takagi–Sugeno fuzzy system with state delay

Zhao Luo

https://orcid.org/0000-0003-3086-7580

School of Automation and Electronic Information, Xiangtan University, Xiangtan, Hunan, P. R. China

E-mail Address: 359065299@qq.com

Corresponding author.

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Yonghong Lan

https://orcid.org/0000-0002-7072-4798

School of Automation and Electronic Information, Xiangtan University, Xiangtan, Hunan, P. R. China

E-mail Address: yhlan@xtu.edu.cn

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Litao Zheng

https://orcid.org/0000-0003-3958-2274

School of Automation and Electronic Information, Xiangtan University, Xiangtan, Hunan, P. R. China

E-mail Address: 974674947@qq.com

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, and

Lei Ding

https://orcid.org/0000-0001-7403-4770

College of Information Science and Engineering, Jishou University, Jishou, Hunan, P. R. China

E-mail Address: yylxdinglei@126.com

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https://doi.org/10.1142/S021969132450022XCited by:1 (Source: Crossref)

Abstract

This paper designs a preview repetitive control (PRC) policy for a class of Takagi–Sugeno (T–S) fuzzy systems with time-varying delay and external disturbances. First, the T–S fuzzy model is employed to represent a nonlinear plant, once the nonlinear plant is represented by a T–S fuzzy model, a fuzzy improved-equivalent-input-disturbance (IEID)-based PRC law can be designed to achieve better tracking performance and disturbance rejection. Next, based on a new equality constraint, we derive a continuous-discrete two-dimensional (2D) system that paves the way to solve the design problem of the IEID-based PRC law using linear matrix inequality (LMI) approach. Then, by solving LMIs, the gains of the controller and state observer can be obtained. Finally, a numerical example is included to show the effectiveness of the proposed method.

Keywords:

AMSC: 22E46, 53C35, 57S20

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