Controlling the discrete‐time conic‐type nonlinear system by a time‐delayed robust H ∞ controller

Summary This paper investigates the robust H ∞ controller design problem for a class of discrete‐time conic‐type nonlinear systems with time delays and uncertainties. We aim to design a time‐delayed feedback control law such that the closed‐loop conic‐type nonlinear system is asymptotically stable and satisfies the given H ∞ performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the H ∞ stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods.