Mixed Dissipativity Control and Disturbance Rejection for Singular Systems

Author:

Gao Fang12ORCID,Chen Wenbin12ORCID

Affiliation:

1. School of Physics and Electronic Information, Anhui Normal University, 189 Jiuhuanan Road, Wuhu City, Anhui Province 241000, China

2. Anhui Conch Group Company Limited, 189 Jiuhuanan Road, Wuhu City, Anhui Province 241000, China

Abstract

In this study, for a linear singular system, the dissipativity and disturbance-rejection problems are considered simultaneously. An improved equivalent-input-disturbance (IEID) method has shown good disturbance-rejection performance for linear systems. Therefore, the objective of this study is to obtain a satisfactory disturbance-rejection performance and dissipativity performance level based on the IEID method for singular systems. First, the influence of exogenous disturbances on the system is estimated based on the IEID method. The estimate is added to the control input channel to offset this influence. A necessary and sufficient condition is obtained to ensure that the singular system is admissible and satisfies dissipativity performance level. Subsequently, a state-feedback controller is designed based on the admissibility condition. Finally, a numerical example is used to demonstrate the validity of the proposed method.

Funder

National Natural Science Foundation of China

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

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