Abstract
This paper studies mixed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> / H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> robust fault-tolerant control for a class of uncertain systems with actuator or sensor faults. A sufficient and necessary condition is derived by using Linear Matrix Inequality (LMI) approach, which guarantees that the uncertain closed-loop system is robustly asymptotically stable and satisfies the mixed H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> / H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> constraints in both normal and any actuator or sensor failure cases. Under the designed state feedback controller, in any case, when all possible actuators or sensors failure, the closed-loop system remains asymptotically stable and satisfies the given disturbance attenuation performances. It gives a uniform conclusion on those actuators' faults or sensors' faults. This can be used as an reference in some engineering systems, when it refers to the robust fault-tolerant control.
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