Fault Reconstruction and Accommodation in Linear Parameter Varying Systems via Learning Unknown Input Observers

Abstract

This paper addresses the problem of observerbased fault reconstruction and accommodation for polytopic linear parametervarying (LPV) systems. A polytopic representation of an LPV system subject to actuator faults and external disturbances is first established; then, a novel polytopic learning unknowninput observer (LUIO) is constructed for simultaneous state estimation and robust fault reconstruction. The stability of the presented LUIO is proved using Lyapunov stability theory together with Hâˆ‍ techniques. Further, using reconstructed fault information, a reconfigurable faulttolerant controller is designed to compensate for the influence of actuator faults by stabilizing the closedloop system. At last, an aircraft example is employed to illustrate the effectiveness and practicability of the proposed techniques.