Fault detection from transients becomes invalid after feedback effects have affected behavior significantly. The monitoring process needs to decide when after time of failure, , to suspend transient verification. Signals may exhibit compensatory or inverse responses [20]. For compensatory responses the slope becomes 0 (Fig. 14(a)). For inverse responses, the magnitude and slope deviations have opposing sign assuming there was no discontinuous change at (Fig 14(b)). If a discontinuous magnitude change were present, the transient at could manifest as a decrease of this magnitude resulting in a slope with opposite sign. However, this is not an inverse response since the transient effects are exactly those as exhibited at . A reverse response constitutes a third phenomenon that occurs for discontinuous changes at , and signal overshoot causes magnitude deviation to reverse sign (Fig 14(c)). Qualitative observations of magnitude and slope detect these behaviors from an initial magnitude deviation. When these situations are detected, transient verification (stage t, Fig. 14) for that particular signal is suspended and steady state detection is activated (stage s, Fig. 14).
Figure 14: Qualitative signal transients.
An example of compensatory response in the bi-tank system is shown in Fig. 13. At time steps 10 and 26 the first derivative of and , respectively, becomes 0 (after having deviated earlier). Therefore, steady state detection is activated and fault refinement based on transients is suspended.