This paper investigates an output tracking problem for the vapor compression cycle in automotive Air Conditioning (A/C) systems using Linear Parameter Varying (LPV) techniques. Stemming from a recently developed first-principle A/C model, Jacobian linearization is first exploited to develop an LPV-based model that is nonlinearly dependent on time-varying system parameters such as evaporator pre...

For dynamics ẋ = f(x) with output y = h(x) invariant with respect to a transformation group G, we define invariant asymptotic observer of the form ̇̂ x = f̂(x̂, y) where y = h(x) is the measured output and x̂ an estimation of the unmeasured state x. Such a definition is motivated by a class of chemical reactors, treated in details, when the group of transformations corresponds to unit changes and t...

Scarsity is the notion that the Jacobian J for a given function f : Rn !→ Rm may have fewer than n ∗m degrees of freedom. A scarse J may be represented by a graph with a minimal edge count. So far, scarsity has been recognized only from a high-level application point of view, and no automatic exploitation has been attempted. We introduce an approach to recognize and use scarsity in computationa...

This study investigates a new parameterization of deformation fields for image registration. Instead of standard displacements, this parameterization describes a deformation field with its transformation Jacobian and curl of end velocity field. It has two important features which make it appealing to image registration: 1) it relaxes the need of an explicit regularization term and the correspon...

In this paper, we present an in-depth analysis of a recently proposed method for speaker adaptation. The method involves a region-specific feature-space transformation, which we refer to as soft R-FMLLR. We argue that the method has certain difficulties, the most significant being the fact that it is noninvertible. An analysis that pertains to the singularity of the Jacobian matrix is presented...

As is well-known, there exist nonconstant holomorphic maps from the plane into the Riemann sphere P minus two points, the simplest example of which is an explicit realization of the uniformization map given by applying the exponential map and then composing with a Mobius transformation taking 0 and∞ to the two given punctures. Likewise, we can map the plane into the sphere minus one point by si...

In this paper, the technique of local linear dynamics assignment is presented, which complements the powerful Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) methodology. In IDA-PBC, nonlinear state feedback controllers are designed by matching the system’s dynamics with a desired Port-Hamiltonian (PH) state representation. The latter consists of an energy function, whi...

This study investigates a new parameterization of deformation fields for image registration. Instead of standard displacements, this parameterization describes a deformation field with its transformation Jacobian and curl of end velocity field. It has two important features which make it appealing to image registration: 1) it relaxes the need of an explicit regularization term and the correspon...