Non‐fragile H ∞ fuzzy filtering for discrete‐time non‐linear systems

This study is concerned with the problem of non‐fragile H ∞ filtering for discrete‐time non‐linear systems in Takagi–Sugeno's form. Additive interval uncertainty that reflects imprecision in filter implementation because of finite word length effects is considered. Based on vertex theory and probabilistic robust approach, deterministic and randomised filtering algorithms are proposed, respectively. Compared with the deterministic algorithm, the randomised algorithm has acceptable computational complexity, especially for high‐dimensional systems. Two examples are given to illustrate the effectiveness of the proposed algorithms.