Finite-time energy-to-peak fuzzy filtering for persistent dwell-time switched nonlinear systems with unreliable links

Abstract

This work investigates the finite-time filtering problem of discrete-time switched nonlinear systems with unreliable links, where the persistent dwell-time switching mechanism is introduced to describe the changes of system mode and the fuzzy set theory is adopted to construct the model of nonlinear systems. Moreover, unreliable links including random nonlinearity and disturbance are employed to transmit data between the plant and the filter. The main intention of this study is to develop a desired full-order filter such that the resulting filtering error system is finite-time bounded with a fixed energy-to-peak performance index. Afterwards, based on the finite-time bounded theory, and through constructing appropriate Lyapunov–Krasovskii functionals, sufficient conditions for the stability with corresponding performance of the filtering error system are established. Then, by solving a set of convex optimization problems, the specific gains of the desired filter are computed. Finally, a numerical example and a single link robot arm model are provided to expound the correctness and practicability of the proposed approach.