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An FTCS subject to random actuator failures and plant parameter uncertainties

In active Fault Tolerant Control Systems (FTCS), a Fault Detection and Identification (FDI) algorithm is used to monitor system performance, to detect the occurrence of a fault and to estimate system parameters. The natural existence of environmental noises, disturbances, and small modelling uncertainties will force the FDI algorithm to estimate system parameters with some inaccuracies. As a result, the system to be controlled includes parameter uncertainties. In this paper, plant parameter uncertainties are assumed to be time-varying unknown-but-bounded. Exponential stabilization of FTCS for systems with uncertainties is studied, and a stabilization algorithm is constructed. A numerical example is presented to demonstrate the potential of the theoretical developments.