Finite-Time Peak-To-Peak Filtering for Nonlinear Singular System

作者：Song, Jiasheng; Chang, Xiao-Heng^*

来源：IEEE Transactions on Circuits and Systems II: Express Briefs , 2022, 69(11): 4369-4373.

DOI：10.1109/TCSII.2022.3179249

• Nonlinear systems
• Upper bound
• Interference
• Couplings
• Circuit stability
• Uncertain systems
• Technological innovation
• Singular system
• finite-time boundedness
• peak-to-peak performance
• filter design
• linear matrix inequality (LMI)

In this brief, the finite-time peak-to-peak filter design problem is investigated for discrete-time nonlinear singular system. The T-S fuzzy model is introduced to represent the considered nonlinear system. First, a useful analysis method is proposed to detect whether the resulting filtering error system is singular finite-time bounded and guarantees the peak-to-peak performance. Further, in order to cope with the difficulty caused by the special form of filtering error system, we propose a novel filter form which facilitates the elimination of the coupling items in the filter design. And based on this, the sufficient design scheme for finite-time peak-to-peak filter is formulated by means of standard linear matrix inequality technique. Finally, a tunnel diode circuit is used to illustrate the feasibility and effectiveness of the developed algorithm.