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

Abstract

This article investigates 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 disturbance attenuation. Finally, a numerical simulation is given to demonstrate the effectiveness of the proposed method.

Formation containment control of multi‐agent systems with actuator and sensor faults

“…For the sensor faults case, state and sensor fault observers are designed in Reference 4 for state‐delayed systems with bounded sensor faults. Descriptor observers are proposed in Reference 5 for systems with input delay and bounded sensor faults. For both actuator and sensor faults cases, proportional derivative extended state observers are designed in Reference 6 for descriptor systems subject to bounded actuator and sensor faults with bounded high‐order derivatives.…”