Abstract
The problem of delay-dependent robust H∞ non-fragile control for a class of singular systems with state-delay and parameter uncertainties is investigated in this article. A delay-dependent sufficient condition for the problem of H∞ control for a class of singular systems is proposed by constructing the generalized Lyapunov–Krasovskii function, combining with linear matrix inequality approach. A memory state feedback controller under controller gain perturbations is obtained, which guarantees that, for all admissible uncertainties, the resulting closed-loop system is regular, impulse free, and stable with an H∞ disturbance attenuation level. Numerical examples show that the proposed methods are less conservative than existing ones.
Acknowledgment
The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.
Disclosure statement
No potential conflict of interest was reported by the authors.