Fuzzy filtering design for positive T-S fuzzy systems with Markov jumping parameters

Abstract

This paper solves the positivity-preserving l1-gain fuzzy filtering design problem of a positive T-S fuzzy system with Markov jumps. With a fuzzy Markov jumping filter, the resulting system is rewritten as an augmented fuzzy Markov jump system. By linear programming technique, a filtering design result is developed to ensure the resulting system to be positive and stochastically internally stable with prescribed l1-gain performance. The design validity is confirmed by a numerical example.