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

Investigates the robust nonlinear H_∞ 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_∞ 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_∞ filter. Secondly, the robust H_∞ FIR filter is proposed for discrete-time nonlinear uncertain systems. It is also derived from the equivalence relationship between the robust nonlinear H_∞ FIR filter and the robust nonlinear H_∞ filter proposed by de Souza et al. (1993)