Interval Observer Design Method for Uncertain Linear Impulsive Systems

This paper focuses on the design of interval state observers for uncertain linear im-pulsive systems subject to bounded disturbances and parametric uncertainties. According to positive systems theory, an hybrid interval observer is designed to give upper and lower bounds of the state. The design problem is formulated as Linear Matrix Inequality (LMI) and the efficiencies of the proposed approach are validated through numerical simulations, demonstrating its robustness against bounded uncertainties and disturbances.