Nonlinear Tchebycheff approximation with constraints

Tchebycheff Approximation in a Compact Metric Space

Fault-Tolerant Control of a Nonlinear Process with Input Constraints

A Fault-Tolerant Control (FTC) methodology has been presented for nonlinear processes being imposed by control input constraints. The proposed methodology uses a combination of Feedback Linearization and Model Predictive Control (FLMPC) schemes. The resulting constraints in the transformed process will be dependent on the actual evolving states, making their incorporation in the de...

Approximation with Interpolatory Constraints

Given a triangular array of points on [−1, 1] satisfying certain minimal separation conditions, a classical theorem of Szabados asserts the existence of polynomial operators that provide interpolation at these points as well as a near-optimal degree of approximation for arbitrary continuous functions on the interval. This paper provides a simple, functional-analytic proof of this fact. This abs...

Nonlinear Approximation with Walsh Atoms

As a model for nonlinear approximation from a redundant set of time-frequency atoms, we consider approximation in L 2 (IR) with linear combinations of Walsh at oms. Best approximation can be realized with a fast algorithm when the class of approximants is restricted to linear combinations of pairwise orthogonal atoms. We describe the eeect of this restriction on approximation rates, and then di...

Nonlinear filters with symmetry constraints

Nonrecursive digital filters are popular because they are inherently stable, unlike their recursive counterparts, and have been shown to be effective in a wide variety of situations. For example, Astola and Kuosmanen describe 20 different classes of nonrecursive filters [2], many of which are included in the general class of nonlinear smoothing filters considered by Mallows [11]. This paper def...