In this paper we study the feedback control problem using an r-channel decentralized dynamic feedback control scheme. We will develop the theory in the behavioral framework. Using this framework we introduce an algebraic parameterization of the space of all possible feedback compensators having a bounded McMillan degree, and we show that this parameterization bas the structure of an algebraic v...

Explicit piecewise linear (PWL) state feedback laws solving constrained linear model predictive control (MPC) problems can be obtained by solving multi-parametric quadratic programs (mp-QP) where the parameters are the elements of the state vector. This allows MPC to be implemented via a PWL function evaluation without real-time optimization. The main drawback of this approach is dramatic incre...

We study genus 2 function fields with elliptic subfields of degree 2. The locus L2 of these fields is a 2-dimensional subvariety of the moduli space M2 of genus 2 fields. An equation for L2 is already in the work of Clebsch and Bolza. We use a birational parameterization of L2 by affine 2-space to study the relation between the j-invariants of the degree 2 elliptic subfields. This extends work ...

In 3D graphical rendering, it is common to want to produce a rendered image of an object that’s as realistic as possible, subject to the limits of memory and computing power available. A commonly used technique that helps to achieve this realism is texture mapping. The parameterization, which is the subject of this project, defines how points in the texture relate to points on the object’s surf...

This appendix provides a more detailed analysis of a parameterized version of the consumer model presented in Section 4.1. We first describe our parameterization of the model. Second, we illustrate some of the theoretical properties of the model and show that the model can incorporate several important features observed in our data. In particular, the model allows for adverse selection (borrowe...

Parameterization of a 3D mesh is a fundamental problem in various applications of meshes. The approaches are widely used for parameterization because of its good properties, but they are almost based on triangle mesh. In this paper, we present a parameterization approach for the quadrilateral open mesh with complex topology. Since mesh simplification and weighted discrete mapping are adapted, t...

A novel robust adaptive fuzzy control (RAFC) algorithm for the permanent magnet (PM) synchronous servomotor drives with uncertain nonlinearities and time-varying uncertainties is presented in this article. Takagi–Sugeno-type fuzzy logic systems are used to approximate uncertain functions. The RAFC algorithm is designed by use of the input-to-state stability (ISS) approach and small gain theorem...

We present a new globally smooth parameterization method for surfaces of arbitrary topology. Our method does not require any prior partition into charts nor any cutting. The chart layout (i.e., the topology of the base complex) and the parameterization emerge simultaneously from a global numerical optimization process. Given two orthogonal piecewise linear vector fields, our method computes two...

Direct solution methods for optimal control problems treat them from the perspective of global optimization: perform a global search for the control function that optimizes the required objective. Increasingly, Differential Evolution is being recognized as a powerful global optimizer for optimal control. A parameterization technique is required, which can represent control functions using a sma...

Construction of spline surfaces from given boundary curves is one of the classical problems in computer aided geometric design, which regains much attention in isogeometric analysis in recent years and is called domain parameterization. However, for most of the state-of-the-art parameterization methods, the rank of the spline parameterization is usually large, which results in higher computatio...