Robust H∞ Filter Design with Sensor Fault

This paper presents a solution to a robust H_infin filtering problem with sensor faults. The robust H_infin filter design methods are developed against sensor faults. A given upper bound of the filtering H_infin performance in the sensor faults case is guaranteed and the performance in the normal case is optimized. A new formulation in terms of linear matrix inequality (LMI) is adopted without introducing additional conservativeness. A flight control example is given to illustrate the proposed design procedures. Furthermore, the normal filter and the robust H_infin filter are compared to show the necessity of robust design