H-infinity Controller for Discrete-Time Systems

The H∞ output feedback control problems of discrete control system is discussed in this paper. The existing methods of the coefficient matrix requirements for the control system are too strict. The new controller design method is given. With the relevant lemma and three different theorems derived of discrete control systems, the existing output feedback H∞ control of two-lane Matrix inequality condition is converted to a linear matrix inequality condition. With taking full advantage of LMI convex optimization technology for solving the output feedback controller design can provide greater feasibility, and the coefficient matrix for system requirements decreased to a certain extent. The results have been relaxed conservative, and shows that the method have a greater range of applications. Finally, a simulation example illustrates the effectiveness of the algorithm.