Robust H∞ FIR filtering for uncertain time-varying nonlinear systems

This paper investigates the robust nonlinear H-infinity. filter with FIR (Finite Impulse Response) structure for nonlinear discrete time-varying uncertain systems represented by the state-space model having parameter uncertainty. Firstly, the discrete-time nonlinear H-infinity FIR filter without parameter uncertainty is derived by using the equivalence relationship between the FIR filter and the recursive filter, which corresponds to the standard nonlinear H-infinity filter. Secondly, the robust H-infinity FIR filter is proposed for the discrete-time nonlinear uncertain systems. It is also derived from the equivalence relationship between the robust nonlinear H-infinity. FIR filter and the robust nonlinear H-infinity filter proposed by de Souza et al. [3].