RT - Journal Article T1 - Design of Robust Control Law for Stabilization of Singular Systems with Time-Varying Delay in The Presence of Model Uncertainty and Input Amplitude Constraint JF - joc-isice YR - 2016 JO - joc-isice VO - 10 IS - 3 UR - http://joc.kntu.ac.ir/article-1-368-en.html SP - 25 EP - 38 K1 - Time-varying singular systems K1 - Robust stability K1 - Input amplitude constraint K1 - Model uncertainty. AB - This paper investigates the problem of robust stabilization of uncertain singular systems with time-varying delay in the presence of model uncertainties and input amplitude constraint. Here, the purpose of robust stabilization is to design a saturated state feedback such that the closed-loop system is regular, impulse free and stable for all admissible uncertainties. The time- delay has been considered to be time-varying with known lower and upper bound. The problem of stabilization is studied in two cases. First, the robust stabilization problem is considered for the singular systems with time-varying delay in the presence of actuator saturation and model uncertainties. In this case, the existence conditions of robust stabilizing delay-independent state feedback controller are given via the linear matrix inequalities. Additionally, an estimation of the domain of attraction of the closed-looped system is proposed in the related theorem. In the second case, delay-dependent criteria for robust stability of uncertain time-delay singular systems with constrained input is given in two theorems. These theorems investigate delay-independent stability conditions via the linear matrix inequalities for constant and time-varying delay. Also, the domain of attraction for the closed-looped system is estimated in this case, too. Finally, practical and LA eng UL http://joc.kntu.ac.ir/article-1-368-en.html M3 ER -