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.