Filter design for continuous-time linear systems subject to sensor saturation (Q1992472)

Summary: This paper presents new sufficient conditions to cope with the filtering problem for continuous-time linear systems subject to sensor saturation. A generalized sector condition has been used to handle the saturation in the measured output. The \(\mathcal{H}_{\infty}\) performance was considered and a quadratic Lyapunov function was employed in order to derive the design conditions. The conditions are presented in terms of matrix inequalities that become linear when a scalar parameter is fixed. The efficiency of the proposed conditions and their capability to deal with different levels of saturation are illustrated by numerical examples.