Filter Design for Continuous-Time Linear Systems Subject to Sensor Saturation

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 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.

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