The nullspace method - a unifying paradigm to fault detection

— The nullspace method is a powerful framework to solve the synthesis problem of fault detection filters in the most general setting. It is also well suited to address the least order synthesis problem. In the same time, the nullspace method represents an unifying paradigm for several methods, because popular approaches like parity space or observer based methods can be interpreted as special classes of nullspace method. The main differences among different methods lie in the numerical properties of the underlying computational algorithms. I. THE FAULT DETECTION PROBLEM Consider additive fault models described by input-output representations of the form y(λ) = Gu(λ)u(λ) + Gd(λ)d(λ) + Gf (λ)f(λ), (1) where y(λ), u(λ), d(λ), and f(λ) are Laplace- or Ztransformed vectors of the the p-dimensional system output vector y(t), mu-dimensional control input vector u(t), mddimensional disturbance vector d(t), and mf -dimensional fault vector f(t), respectively, and where Gu(λ), Gd(...

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: András Varga
• Keywords: CDC 2009, Control Systems, Fault Detection, Fault Detection filter, Nullspace Method