Linear-Matrix-Inequality-Based Robust Fault Detection and Isolation Using the Eigenstructure Assignment Method

A = system state transmission matrix with dimension n n Bd = noise input influence matrix with dimension n nd Bu = input influence matrix with dimension n r C = output influence matrix with dimension m n Dd = noise direct transmission matrix with dimension m nd Fi = ith force direction vector H = projection matrix I = identity matrix L = observer gain with dimension n m m = number of outputs mi = arbitrary scalar function of time with respect to the ith fault direction n = number of states nd = number of disturbance inputs q = number of faults r = number of inputs