Generalized dynamic robust energy-to-peak filtering of nonlinear descriptor systems with uncertainties

The problem of robust nonlinear energy-to-peak filtering for nonlinear descriptor systems with model uncertainties is addressed. The system is assumed to have nonlinearities both in the state and output equations as well as norm-bounded time-varying uncertainties in the realization matrices. A generalized nonlinear dynamic filtering structure is proposed for such a class of systems with more degrees of freedom than the conventional static-gain and dynamic filtering structures. The ℒ₂ - ℒ_∞ filter is synthesized through semidefinite programming and strict LMIs, in which the energy-to-peak filtering performance in optimized.