Finite-time H∞ non-fragile filter design for a class of conic-type nonlinear switched systems

This paper studies the H-infinity non-fragile filter design problem of a class of switched systems with conic-type nonlinearities. By reconstructing the system, the filtering error dynamic system with unknown input is obtained. The aim of this paper is to design a suitable non-fragile filter such that the error dynamic system is finite-time bounded and satisfies the given H-infinity index. By using Lyapunov functional and linear matrix inequalities, a sufficient condition for the existence of the H-infinity non-fragile filter gain is given and proved. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.