Robust H_∞ non-fragile control with memory state feedback for a class of singular time-delay systems

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.

Keywords:

• singular systems
• delay-dependent
• H_∞ non-fragile control
• memory state feedback control

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.

Additional information

Funding

This paper is supported by the National Natural Science Foundation of China [grant number 61273004], and the Natural Science Foundation of Hebei province [grant number F2014203085].