Dissipative filter design for discrete‐time interval type‐2 fuzzy singular systems with mixed delays. (15th February 2020)

• Record Type: Journal Article
• Authors: Li, Jiangrong; Zhang, Huayang; Feng, Zhiguang; Zhao, Yuxin; Shi, Juan
• Is Part Of: Optimal control applications and methods. Volume 41:Number 4(2020)
• Page Start: 1016
• Page End: 1033
• Publication Date: 2020-02-15
• Subjects: admissibility -- dissipativity -- filtering -- IT‐2 fuzzy system -- mixed delays -- singular system; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2583
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: In this article, the problem of delay‐dependent dissipative filter design is studied for discrete‐time interval type‐2 (IT‐2) fuzzy singular systems with both external disturbance and mixed delays. Two kinds of delays are considered, namely time‐varying discrete delays and infinite distributed delays. First, considering the uncertainties in the membership functions, the nonlinear singular system and the filter are modeled by the IT‐2 fuzzy systems. Then, based on new matrix inequalities dealing with the mixed delays, a new delay‐dependent criterion is proposed to ensure the IT‐2 fuzzy filtering error system is to be admissible with strictly dissipative performance. The filter parameters are characterised by the solution of linear matrix inequalities (LMIs). The feasibility of these results are verified by a numerical example.