Generalized Nonlinear Robust Energy-to-Peak Filtering for Differential Algebraic Systems

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. keywords: Robust Filtering, Energy-to-Peak Filtering, Nonlinear L2−L∞, Descriptor Systems, Semidefinite Programming, Lipschitz Systems, DAE