Affiliations: [a]
Luoyang Normal University, Luoyang, Henan, China
| [b] College of Information Engineering, Henan University of Science and Technology, Luoyang, Henan, China
| [c] Research Institute of Intelligent System Science, Longmen Laboratory, Luoyang, Henan, China
Correspondence:
[*]
Corresponding author. Fazhan Tao, Research Institute of Intelligent System Science, Longmen Laboratory, Luoyang, Henan, China. E-mail: taofazhan@haust.edu.cn.
Note: [1] This work is supported by the National Natural Science Foundation of China under Grant No. 62301212, Major Science and Technology Projects of Longmen Laboratory (No. 231100220300), the Program for Science and Technology Innovation Talents in the University of Henan Province under Grant (23HASTIT021), the Key Scientific Research Projects of Universities in Henan Province (22A413002), the Scientific and Technological Project of Henan Province under Grant (222102210056, 222102240009), the Postdoctoral research grant in Henan Province under Grant (202003077), the Science and Technology Development Plan of Joint Research Program of Henan under Grant (222103810036).
Abstract: In this paper, the robust stability of nonlinear system with unknown perturbation is considered combining operator-based right coprime factorization and fuzzy control method from the input-output view of point. In detail, fuzzy logic system is firstly combined with operator-based right coprime factorization method to study the uncertain nonlinear system. By using the operator-based fuzzy controller, the unknown perturbation is formulated, and a sufficient condition of guaranteeing robust stability is given by systematic calculation, which reduces difficulties in designing controller and calculating inverse of Bezout identity. Implications of the results related to former results are briefly compared and discussed. Finally, a simulation example is shown to confirm effectiveness of the proposed design scheme of this paper.
