Modified Pseudo-Inverse Method with Generalized Linear Quadratic Regulator for fault tolerant Model Matching with prescribed stability degree

摘要

When faults turn the nominal operation to an unstable post-fault regime, the accommodation procedure must recover stability and as much performance of the reference model as possible, ideally attaining perfect Model Matching (MM). In this paper, the authors develop the Modified Pseudo-Inverse Method (MPIM) with the Generalized Linear Quadratic Regulator (GLQR) stabilization using the weighting matrices derived from the Robust Optimal Model Matching (ROMM) approach and show that the MPIM-GLQR technique is the best candidate to solve the MM problem extended with the prescribed stability degree property, as opposed to the classical MPIM with simple LQR stabilization using arbitrary penalties, as was proposed in the original method. The theoretical development presented in the paper is illustrated by an aeronautical example, namely the longitudinal motion control of the B747 aircraft impaired by a structural and an actuator fault.