A New H∞ Filter for a Nonlinear Singular System in Frequency domain

This paper introduces a new design for a H ∞ filter for nonlinear singular systems with bounded disturbance in the time domain, the frequency domain based on both time and frequency domain.In addition, we present results comparison between three filter design methods. The main objective of such a design is the estimation of the state vector. The proposed filter design is verified when using coupled multimodel architecture. In this note, we propose to adopt the Lyapunov–Krasovskii theory to ensure the filter stability by using a Lyapunov functional added to a H ∞ criterion to minimize the disturbance effect.Furthermore, polynomial approach using MFD tools is employed to describe the filter dynamic in the frequency domain. A numerical example is given to demonstrate the effectiveness of the proposed design.