An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems

Abstract

In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.

Delay Dependent Robust Stability of Singular Systems with Additive Time-varying Delays

“…In the past few years, much attention has been paid on the stability analysis of singular delay systems [8−18] . The stability and robust stabilization problem of uncertain singular time-delay systems has been studied in [19] by using the Lyapunov-Krasovskii functional and Jensen integral inequality. Gao et al [14,20] discussed the design of the guaranteed cost controller for the uncertain singular time-delay systems with norm-bounded parameter uncertainties.…”

A Stability Criterion for Singular Systems with Two Additive Time- varying Delay Components

“…It should be pointed that the stability problem for singular systems is much more complicated than that for regular systems because not only stability but also regularity and absence of impulses (for continuous singular systems) [12−17] or causality (for discrete singular systems) [18] should be considered. Note that the stability results mentioned in [12][13][14][15][16][17][18] can only provide stability conditions for singular systems with a single delay in state. However, to the best of our knowledge, stability conditions for singular systems with multiple delay components are few even non-existing in the published works, which has motivated this paper.…”

Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

“…On the other hand, the study of time-delay systems have received much attention. A number of significant results on problems of analysis and synthesis for time-delay systems have been proposed during the last years [1,2,8,13,25,32]. In order to obtain delay-dependent results, different methodologies have been developed in the literature [4-6, 10, 19, 20].…”