Delay Range Dependent Robust Passification for Singular Neutral Uncertain Systems with Time Varying Delays and Actuator Saturation

Abstract

This paper focuses on robust passification for singular neutral systems with time varying delays and estimation of their domain of attraction considering bounded control effort (actuator saturation). The delays in states and state derivatives have upper and lower bounds. The system is assumed to have polytopic parametric uncertainties. Memory less state feedback controller for robust passification is synthesized. The delay range dependent sufficient conditions for robust passivity of closed loop system are derived in terms of Linear Matrix Inequalities (LMIs). The domain of attraction is estimated by solving an optimization problem in terms of LMIs to obtain less conservative results. Numerical example is presented at the end that shows the effectiveness of the proposed theoretical results.