Novel stabilization conditions for uncertain singular systems with time-varying delay. (English) Zbl 1407.93349
Summary: The problem of delay-dependent robust stabilization for continuously singular time-varying delay systems with norm-bounded uncertainties is investigated in this paper. First, based on some mathematical transform, the uncertain singular system is described in a form which involves the time-delay integral items. Then, in terms of the delay-range-dependent Lyapunov functional and the LMI technique, the improved delay-dependent LMIs-based conditions are established for the uncertain singular systems with time-varying delay to be regular, causal, and stable. Furthermore, by solving these LMIs, an explicit expression for the desired state feedback control law can be obtained; thus, the regularity, causality, and stability of the closed-loop system are guaranteed. In the end, numerical examples are given to illustrate the effectiveness of the proposed methods.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93D09 | Robust stability |
| 93C70 | Time-scale analysis and singular perturbations in control/observation systems |
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