H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band

• Published in: Asian journal of control Vol. 27; no. 5; pp. 2128 - 2140
• Main Authors: El‐Amrani, Abderrahim, Noura, Hassan, Ouladsine, Mustapha, El Adel, El Mostafa
• Format: Journal Article
• Language: English
• Published: 19.02.2025
• Subjects: 2‐D systems; finite frequency; H∞$$ {H}_{\infty } $$ filtering; LMIs; T–S fuzzy systems
• ISSN: 1561-8625; 1934-6093
• DOI: 10.1002/asjc.3595

This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain. The objective is to provide a new design sufficient condition via linear matrix inequalities (LMIs) formulation, ensuring both the stability of the filtering error system and H∞$$ {H}_{\infty } $$ performance level in specific FF domain. Finally, an illustrative example is provided to demonstrate the applicability and effectiveness of the proposed method.