This paper proposes a design method of high-order terminal observer with adaptive laws for the unknown actuator fault reconstruction
which can reduce the false faults caused by the chattering effect of ordinary sliding mode observer. First
a linear transforming matrix is introduced to reduce the dimension of system
which makes the state estimation avoid the effects of disturbances and faults
meanwhile the calculating scheme of observer gains is put forward and transformed into a convex optimization under the constraints of linear matrix inequalities. Then considering the unknown information of actuator faults
an adaptive law is added to the high-order terminal sliding mode input
making the sliding mode motion conquer the unknown faults and finish its motion within the limited time
and hence realize its robustness. Finally a simulation on a nonlinear flight control example shows the feasibility and effectiveness of the proposed method
and demonstrates that the adaptive algorithm can be adjusted with the unknown actuator faults within 3 seconds.
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