Admissibility and Admissibilization of Singular Polynomial Fuzzy Systems with Time-Varying Delay
Publication Name
International Journal of Fuzzy Systems
Abstract
This paper addresses the admissibility analysis and the polynomial fuzzy controller design for a class of singular polynomial fuzzy systems with time-varying delay. Firstly, according to Lyapunov stability theory, a sufficient condition is obtained by means of sum-of-squares (SOS) to ensure that the closed-loop singular polynomial fuzzy system is admissible. Secondly, by the help of the two equivalent sets, SOS-based admissibility conditions are proposed to avoid solving the equality conditions and the polynomial fuzzy controller is designed. Finally, three examples validate the usefulness and superiority of the proposed design procedure compared with existing results.
Open Access Status
This publication is not available as open access
Volume
23
Issue
1
First Page
81
Last Page
93
Funding Number
2019J00046
Funding Sponsor
National Natural Science Foundation of China