https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Fault detection, isolation, and recovery using spline tools and differential flatness with application to a magnetic levitation system https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11566 Wed 11 Apr 2018 16:19:34 AEST ]]> Constrained trajectory generation and fault tolerant control based on differential flatness and B-splines https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:10087 Wed 11 Apr 2018 16:05:30 AEST ]]> A flatness-based iterative method for reference trajectory generation in constrained NMPC https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:8473 Wed 11 Apr 2018 15:09:26 AEST ]]> Splines and polynomial tools for flatness-based constrained motion planning https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:28491 Sat 24 Mar 2018 07:39:31 AEDT ]]> Quaternionic B-splines https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:32073 Bq of quaternionic order q, defined on the real line for the purposes of multi-channel signal analysis. The functions Bq are defined first by their Fourier transforms, then as the solutions of a distributional differential equation of quaternionic order. The equivalence of these definitions requires properties of quaternionic Gamma functions and binomial expansions, both of which we investigate. The relationship between Bq and a backwards difference operator is shown, leading to a recurrence formula. We show that the collection of integer shifts of Bq is a Riesz basis for its span, hence generating a multiresolution analysis. Finally, we demonstrate the pointwise and Lp convergence of the quaternionic B-splines to quaternionic Gaussian functions.]]> Fri 27 Apr 2018 11:52:51 AEST ]]>