Synthesis of Fault Tolerant Control with Random FDI Delay

This paper investigates the controller synthesis problem for the stochastic fault tolerant control systems (FTCS). The faults of random nature is modeled as a Markov process. Because the real system fault modes are not directly accessible, the controller is reconfigured based on the output of a Fault Detection and Identification (FDI) process, which is assumed to indicate the actual system modes only after an exponentially distributed random time delay. By considering the modeling uncertainty and the external disturbances, both state feedback and output feedback control are developed to achieve the Mean Exponential Stability (MES) and the H∞performance.