Robust detection filter design in the presence of time-varying system perturbations

Fault-tolerant control design for trajectory tracking in driver assistance systems

“…An H ∞ method to design a fault detection and isolation (FDI) LPV filter was presented by Edelmayer et al (1997). The geometric approaches often lead to successful detection filter design, for details see Bokor and Balas (2004).…”

H ∞ synthesis of unknown input observers for non-linear Lipschitz systems

“…It can also represent some of the system inputs which are inaccessible (or unmeasurable) (Chen and Patton 1999). It is important to note that much work has been done on estimating the distribution matrix E when it is not fully known (Patton and Chen 1991, Patton et al 1992, Gertler 1994, Chen 1995, Gertler and Kunwer 1995, Edelmayer et al 1997, Patton and Chen 1997. In all the literature available for this problem, the observer proposed fall in the class of Luenberger-like observers, namely…”

Design of fault diagnosis filters: A multi-objective approach

“…ðe; r;rÞ T : It is assumed that R 1 ðsÞ admits the state realization ðA 1 ; B 1 ; C 1 ; D 1 Þ which can be deduced from Eqs. (17) and (18).…”

“…(17), lying in the region R for all D 2 D: kDk 1 p1 is the existence, for each region R i ; of a matrix P i so that where '''' denotes the Kronecker product of matrices. A r ; B r ; C r and D r are given by Eqs.…”