H2 Control for Discrete-time System with Multiplicative Controller Gain Variations

This paper is concerned with the problem of a non- fragile H2 controller design for linear discrete-time systems in the presence of controller gain variations. The controller gain to be designed is assumed to have multiplicative gain variations. The purpose of this work is to design a dynamic output feedback controller such that, for all admissible multiplicative controller gain variations, the closed-loop systems are asymptotically stable and have an H2 performance criterion via matrix inequalities. The sequentially linear programming method (SLPMM) is applied to solve the matrix inequalities. Numerical example is given to illustrate the design procedure and its effectiveness.

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