Fault diagnosis based on the set membership filter with nonlinear equality constraint
Ruan Yu-zhe · Fuzhou daxue xuebao. Ziran kexue ban · 2015
The design method of set membership filter is proposed to solve the problem fault diagnosis with nonlinear equality constraint,this method not only can estimate the size of the fault and delete the fault effectively,but also can guarantee the system requiring 100% confidence to be estimated. Furthermore it can detect the type of fault signal. In this note the nonlinear equality constraint is first linearized,then S-procedure and linear matrix inequalities( LMI) method is applied to design set membership filter. The set membership filter with nonlinear equality constraint is finally derived from projecting the unconstrained set-membership filter onto the constrained surface by using Finsler's Lemma. Finally,a recursive algorithm is developed for computing the set membership filter. The simulation result shows that the method presented is available and effective.