Fuzzy non-fragile state feedback H∞ controller design

This paper presents a study on the problem of non-fragile state feedback H_∞ controller design for fuzzy discrete-time systems with the consideration of the additive gain variations, which reflect the FWL effects in controller implementation. The introduction of the fuzzy property results in a more complex numerical computation problem, especially for high order systems. a notion of structured vertex separator is employed to approach the problem, and exploited to develop sufficient conditions for the fuzzy non-fragile H_∞ controller design in terms of solutions to a set of linear matrix inequalities (LMIs). The designs guarantees the closed-loop system asymptotically stable and with a prescribed H_∞ performance bound. An example is presented to illustrate the effectiveness of the proposed control strategy.