Robust Non-Fragile Control for Uncertain Coupled Parabolic PDE-ODE Systems and Its Application to Hypersonic Rocket Car

This paper introduces a robust non-fragile control for uncertain coupled parabolic PDE-ODE systems. Based on an appropriate Lyapunov function, a robust non-fragile control strategy presented by space-dependent linear matrix inequality-based condition is given such that the closed-loop coupled parabolic PDE-ODE system is exponentially stable. Finally, we verify the effectiveness of the proposed method via a hypersonic rocket car.