A fault detection and isolation method for complex industrial systems

Thus, in the case in question, the cooperative party will certainly be damaged. The hostile (second) party may benefit from the cooperation of the first party if and only if e 21 < e 210 or, equivalently 2 This inequality will be satisfied if and only if K2(s) is chosen such that K2(0) < 1 1 + [1 0 K 1 (0)] 2 K 1 (0)P 22 (0)G 2 (0) 1 Nevertheless, from (2) it is seen that the infimum value for e 21 with K1(0) and P22(0) fixed is achieved when K2(0) approaches 0, which would mean indifference of party 2 toward party 1 (i.e., neither hostility nor friendliness). VII. COMMENTS AND CONCLUSIONS In the preceding sections, the attractiveness of long-term cooperation was discussed from a systems theoretic point of view. A linear interaction model was used. Using the concept of need for achievement (NA) a behavioral interpretation of the setup and the results was given. Provided there is sufficient combined NA, long-term cooperation will always be attractive. A higher NA in the other can compensate a smaller NA in one party and its government. In the case of insufficient combined NA, cooperation will not be of mutual benefit. However , long-term mutual hostility will not be of benefit either. It was shown that mutual hostility is always detrimental. The setup used in this paper implies that received cooperation is free of charge or cost. Mutual agreement demanded by practical successful cooperation can be interpreted as a combined choice of policies P 11 (s); P 22 (s); K 1 (s), and K 2 (s), i.e., they will not be chosen independently. The results derived here are not applicable when the parties' behaviors are not sufficiently well described by linear models or when the output of the parties involved is constrained in some way. In particular for these reasons the adopted approach cannot be used in the well known Prisoner's Dilemma nor in cases when one party defines a structural change in the other party as a goal. In the case of Prisoner's Dilemma-like interaction the results of [5] apply. REFERENCES [1] A. A. Stahel et al., " Dynamic models of guerrilla warfare, " in Dynamic Abstract—A method for the fault detection in complex industrial systems is presented. The plant devices, the sensors, the actuators, and diagnostic tests are described as discrete-event systems. A formal composition rule of these models …