Fuzzy Energy-to-Peak Filtering for Continuous-Time Nonlinear Singular System

• Published in: IEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2325 - 2336
• Main Authors: Chang, Xiao-Heng, Qiao, Ming-Yang, Zhao, Xudong
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Continuous time systems; continuous-time system; energy-to-peak (E2P) filtering; Filter design (mathematics); Fuzzy logic; Fuzzy systems; Liapunov functions; Linear matrix inequalities; Linear systems; Mathematical analysis; Mathematical model; Nonlinear singular system; Performance analysis; Periodic structures; Takagi-Sugeno (T-S) fuzzy system
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2021.3080978

This article studies the energy-to-peak filter design problem for the continuous-time nonlinear singular system. A Takagi-Sugeno fuzzy model is constructed to represent the nonlinear plant. The article focuses on the fuzzy filter design for singular system, such that the formulated filtering error system is admissible (regular, impulse-free, and stable) and ensures the corresponding filtering performance in the singular system. By introducing a novel Lyapunov function, design conditions of the fuzzy filter for the continuous-time singular system are proposed in the light of linear matrix inequalities representations. Finally, a practical example and the relevant simulation results are provided to demonstrate the effectiveness and feasibility of the proposed energy-to-peak filter design approach.