Optimal Robust Control for Uncertain Impulsive Systems

This paper aims to study the optimal robust control problem for uncertain impulsive systems. By using the Lyapunov function method and algebraic inequalities, conditions are derived under which not only the uncertain impulsive system is robustly asymptotically stable and the optimal bound of the hybrid performance functional can be estimated. The results are then specialized to interval linear impulsive systems with quadratic hybrid performance functional. Riccati inequality conditions are used to design feedback controllers to stabilize asymptotically the interval linear impulsive system and the optimal bound of the quadratic hybrid performance functional are derived.