Active Fault Tolerant Control Systems: Stochastic Analysis by Prof. Mufeed M. Mahmoud, Prof. Jin Jiang, Prof Youmin Zhang

By Prof. Mufeed M. Mahmoud, Prof. Jin Jiang, Prof Youmin Zhang (auth.)

Modern technological platforms depend upon subtle keep an eye on services to satisfy elevated functionality standards. For such structures, Fault Tolerant regulate platforms (FTCS) have to be constructed. energetic FTCS are depending on a Fault Detection and id (FDI) procedure to watch process functionality and to observe and isolate faults within the structures. the most aim of this ebook is to check and to validate a few vital concerns in real-time energetic FTCS through theoretical research and simulation. a number of types are offered to accomplish this aim, considering useful elements of the procedure to be managed, functionality deterioration in FDI algorithms, and barriers in reconfigurable keep an eye on laws.

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Mahmoud, J. Jiang, Y. Zhang: Active Fault Tolerant Control Systems, LNCIS 287, pp. 30−44, 2003. 1. MATHEMATICAL MODELS For single sample tests, information is collected, processed, and discarded. If the information is corrupted with additive white noise, the FDI process will be memoryless. That is, the future decision of the FDI process is independent of the past decision for the xed state of (t) and (t). Under these conditions, a Markov process can be used to describe the transition behavior of the FDI process 1 79.

11 is outlined in the following section. 2 Calculation of Transition Rates The conditional transition probabilities for the FDI process can be determined once the holding time distributions or the reliability functions of the FDI process are known 1(, 15- . Let be the transition free time of the FDI process and Fijk (t) be its distribution function when the FDI process is leaving state i to enter state j given that the failure process is in state k: If the FDI process starts at time t = , then k (t) is the probability that the FDI process will transit prior to time t and is given Fij 36 CHAPTER 4.

These factors cause 38 CHAPTER 4. FTCS WITH MARKOVIAN PARAMETERS (FTCSMP) random detection delays and false alarm rates with any possible size. That is, the state space to represent these imperfections can be so large that it is impossible to pre-de ne all possible combinations to apply the existing results to deal with practical FTCS. Another factor that limits the usage of the existing results is that there is a con ict between sensitivity of the FDI process (to noise) and its alertness (to fault), which create contradictory objectives that cannot be achieved by the existing results.

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