Abstract
Robust fault-tolerant H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control against actuator failures and/or sensor failures is investigated for a class of uncertain descriptor systems via dynamical compensators. Based on H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> theory, sufficient conditions for the existence of dynamical compensators are derived. The dynamical compensators guarantee that the closed-loop descriptor systems are admissible and maintain certain H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> norm performance in the event of actuator failures and/or sensor failures as well as in the normal case. A simulation result shows the effectiveness of the proposed method.
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