Abstract
In this paper, the problem of non-fragile H ∞ control for a class of uncertain Takagi–Sugeno (T–S) fuzzy neutral systems with linear fractional parametric uncertainties is considered. The non-fragile H ∞ control problem is to design a state feedback controller with parameter uncertainties such that the L 2 -induced gain of the mapping from the exogenous input to the controlled output is less than some prescribed level. Based on Lyapunov–Krasovskii functional, the descriptor model transformation and LMI approach, new sufficient conditions for solvability of this problem are obtained. It is shown that, by a novel controller design method, the desired state feedback fuzzy controller can be constructed by solving a set of LMIs and the minimum H ∞ disturbance attenuation level can be obtained via using the LMI algorithm “ mincx”. Finally, an illustrative numerical example is provided to demonstrate correctness and effectiveness of the theoretical results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
