Passive control for continuous singular systems with non-linear perturbations

This study addresses the passivity analysis and passivity-based control for continuous singular systems with non-linear perturbations. The perturbations are the function of time and system state and satisfy the Lipschitz constraints. The passivity condition, which includes a sufficient condition for the existence-uniqueness of solution to the singular system and exponential stability, is expressed in terms of linear matrix inequalities (LMIs). The state feedback controller based on passivity is designed and the numerical example is presented to demonstrate the effectiveness of the proposed method.