Non-fragile ∞ Static Output Feedback Control for Discrete-time Linear Systems

This paper investigates the problem of non-fragile static output feedback control (SOF) design for discrete-time linear systems. Interval type of additive gain variations to reflect imprecision in controller implementation is considered. The non-fragile SOF controller design is firstly formulated as a robust convex problem. Then a deterministic algorithm and a randomized one are proposed to solve the obtained robust convex problem. These two algorithms complements each other. The deterministic algorithm is suitable for systems with low dimensions, while the randomized one is applicable for systems with high dimensions. In addition, the randomized algorithm can alleviate the conservatism of the deterministic one. Two examples are given to show the effectiveness of the proposed method. Index Terms— Non-fragile, Static output feedback, Random- ized algorithms.