Robust Bounded-H₈ Control for High-Order Fully Actuated Systems Based on FAS Approaches

This paper investigates the robust bounded-H₈ stabilization for a class of high-order fully actuated systems (FASs) with time-varying uncertainty and disturbance. Based on the FAS approaches and the H₈ control, a robust bounded-H₈ controller is designed, which guarantees that the system state and its derivatives of each order are globally bounded. Furthermore, a combined disturbance, composed of part time-varying uncertainty and disturbance, is given. With the help of the combined disturbance, the impact of the uncertainty and the disturbance on system output can be attenuated simultaneously, because the closed-loop high-order FAS has the bounded-H₈ performance. A simulation example is provided to demonstrate the effectiveness of the proposed control method.