Disturbance observer based on L2−L∞ decentralized control for interconnected systems with multiple disturbances

The paper focuses the problem of composite disturbance-observer-based control (DOBC) and L₂-L_∞ decentralized control for a class of interconnected systems with multiple disturbances. The purpose is to construct the composite control scheme, which is combined disturbance observer based control (DOBC) and L₂-L_∞ control. The composite controller can attenuate and reject different type of disturbances. The stability analysis of the closed-loop system is established by Lyapunov function theory, and sufficient conditions for the desired controller and observer are developed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is employed to illustrate the effectiveness of the proposed method.