H_ȡE; filtering for linear continuous-time systems subject to sensor non-linearities

摘要

In this study, the H_ȡE; filtering problem for linear continuous-time systems subject to sensor non-linearities is considered. First, the global H_ȡE; filtering is addressed by modelling the sensor non-linearities as sector non-linearities. The existence condition for an H1 filter is derived for such systems by using both the circle criterion theory and Popov criterion theory. In both cases, design methods for H1 filtering are proposed by means of linear matrix inequalities (LMIs)-based optimisation approach, which enables solutions to be found via efficient interior-point algorithms. To reduce the conservatism in the design of global H_ȡE; filters for linear systems with output saturation non-linearities, the local H1 filtering problem is considered. Local H_ȡE; filtering refers that the states are within some bounded set while a regional LH₂ gain is guaranteed. An LMI-based approach is developed to calculate parameter matrices of the local H_ȡE; filter. Numerical examples are given to demonstrate the usefulness of the proposed results.