H∞output tracking control for delta operator systems with insensitivity to controller coefficient variations

摘要: The problem of designing insensitive H ∞ output tracking controller for discrete-time systems is studied in a unified framework by using the delta operator approach. A type coefficient sensitivity performance measure first developed tomeasure transfer function with respect to variations, and corresponding design naturally reformulated as mixed-objective control problem. It worth mentioning that novel bounded real lemma BRL, i.e. Theorem 1 this article, obtained, which adapted deal multi-objective optimisation or polytopic uncertain potentially less conservative framework. Then, based on lemma, an linear matrix inequality LMI-based method proposed achieving purpose. Finally, numerical example linearised model F-18 aircraft given illustrate effectiveness method.