Through the use of the IFATIS two-tank benchmark, we illustrate the design and implementation of a hierarchical system for the detection and isolation of non-concurrent faults of sensors and actuators, based on the processing of suitably selected residuals, designed with geometric techniques.
The new design is then embedded as a residual design into a new non-self-dual symmetric 2- 78,22,6) design.
Chen and Cheng (Ann. Statist. 27 (1999 19488) got the relationships between a blocked symmetrical factorial design and its residual design.
The paper also incorporates the modelling error into the robust residual design using the standard H∞ filtering formulation.
A result of Klemm implies that every residual design of H has p-rank at least n.
The paper also incorporates the modeling error into the robust residual design using the standard H∞ filtering formulation.
To this end, a high-gain observer is first presented, for which the convergence property is rigorously established, forming the basis of the residual design.
In a simulation example, using data from an emulator of the Space-Shuttle main fuel tank, we demonstrated one and two-dimensional searches (two and three-dimensional residual spaces) and compared them to the fixed, maximum-zero residual design.
Similarly, the bound of Jungnickel for the number of symmetric 2- qd+1−1)/(q−1), (qd−1)/(q−1), (qd−1−1)/(q−1)) designs (d⩾3) that contain the the classical affine design AG d, q) as a residual design is improved to match that of Kantor.
The minimum breakdown designs provide the highest probability to derive a non-singular residual design for estimating the grand mean and all the main effects, when a fraction of experimental data is unavailable.
