ℒ₂ disturbance attenuation for a class of Lipschitz nonlinear systems with large input delay

This article investigates (Formula presented.) disturbance attenuation problem for a class of Lipschitz nonlinear systems subject to unknown sensor disturbances/faults and large input delay. First, the Artstein model reduction method is applied to deal with the input delay and a descriptor observer is constructed to estimate the predicted state and sensor faults simultaneously. Then, a finite-dimensional controller is designed, which gets rid of the distributed delays in traditional reduction controllers and is easy to be implemented. By using Lyapunov-Krasovskii functionals, sufficient conditions are derived to guarantee the (Formula presented.) disturbance attenuation. Finally, a numerical simulation is given to demonstrate the effectiveness of the proposed method.